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Effective Computational Geometry for Curves and Surfaces by Jean-Daniel Boissonnat, Monique Teillaud

Posted by NTL at Sunday, February 28, 2010 ,

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Book Details :
  • Title : Effective Computational Geometry for Curves and Surfaces (Mathematics and Visualization)
  • Editor : Jean-Daniel Boissonnat, Monique Teillaud
  • Hardcover: 344 pages
  • Publisher: Springer; 1 edition (December 20, 2006)
  • Language: English
  • ISBN-10: 3540332588
  • ISBN-13: 978-3540332589
  • Size : 10.2 MB.
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  • Book Description :

The intent of this book is to settle the foundations of non-linear computational geometry. It covers combinatorial data structures and algorithms, algebraic issues in geometric computing, approximation of curves and surfaces, and computational topology.

Each chapter provides a state of the art, as well as a tutorial introduction to important concepts and results. The focus is on methods which are both well founded mathematically and efficient in practice.

References to open source software and discussion of potential applications of the presented techniques are also included.

This book can serve as a textbook on non-linear computational geometry. It will also be useful to engineers and researchers working in computational geometry or other fields, like structural biology, 3-dimensional medical imaging, CAD/CAM, robotics, and graphics.


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Metric Structures for Riemannian and Non-Riemannian Spaces (Modern Birkhäuser Classics)

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Book Details :
  • Title : Metric Structures for Riemannian and Non-Riemannian Spaces (Modern Birkhäuser Classics)
  • Author : Mikhail Gromov
  • Editor : Jacques LaFontaine, Pierre Pansu
  • Contributor : M. Katz, P. Pansu, S. Semmes
  • Translator : S. M. Bates
  • Paperback: 586 pages
  • Publisher: Birkhäuser Boston (December 22, 2006)
  • Language: English
  • ISBN-10: 0817645829
  • ISBN-13: 978-0817645823
  • Size : 24.3 MB.
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Metric theory has undergone a dramatic phase transition in the last decades when its focus moved from the foundations of real analysis to Riemannian geometry and algebraic topology, to the theory of infinite groups and probability theory.

The new wave began with seminal papers by Svarc and Milnor on the growth of groups and the spectacular proof of the rigidity of lattices by Mostow. This progress was followed by the creation of the asymptotic metric theory of infinite groups by Gromov.

The structural metric approach to the Riemannian category, tracing back to Cheeger's thesis, pivots around the notion of the Gromov–Hausdorff distance between Riemannian manifolds. This distance organizes Riemannian manifolds of all possible topological types into a single connected moduli space, where convergence allows the collapse of dimension with unexpectedly rich geometry, as revealed in the work of Cheeger, Fukaya, Gromov and Perelman. Also, Gromov found metric structure within homotopy theory and thus introduced new invariants controlling combinatorial complexity of maps and spaces, such as the simplicial volume, which is responsible for degrees of maps between manifolds. During the same period, Banach spaces and probability theory underwent a geometric metamorphosis, stimulated by the Levy–Milman concentration phenomenon, encompassing the law of large numbers for metric spaces with measures and dimensions going to infinity.

The first stages of the new developments were presented in Gromov's course in Paris, which turned into the famous "Green Book" by Lafontaine and Pansu (1979). The present English translation of that work has been enriched and expanded with new material to reflect recent progress. Additionally, four appendices—by Gromov on Levy's inequality, by Pansu on "quasiconvex" domains, by Katz on systoles of Riemannian manifolds, and by Semmes overviewing analysis on metric spaces with measures—as well as an extensive bibliography and index round out this unique and beautiful book.


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Advanced Mean Field Methods: Theory and Practice by Manfred Opper, David Saad

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Book Details :
  • Title : Advanced Mean Field Methods: Theory and Practice (Neural Information Processing)
  • Editor : Manfred Opper, David Saad
  • Hardcover: 300 pages
  • Publisher: The MIT Press (February 19, 2001)
  • Language: English
  • ISBN-10: 0262150549
  • ISBN-13: 978-0262150545
  • Size : 17.1 MB.
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A major problem in modern probabilistic modeling is the huge computational complexity involved in typical calculations with multivariate probability distributions when the number of random variables is large. Because exact computations are infeasible in such cases and Monte Carlo sampling techniques may reach their limits, there is a need for methods that allow for efficient approximate computations. One of the simplest approximations is based on the mean field method, which has a long history in statistical physics. The method is widely used, particularly in the growing field of graphical models. Researchers from disciplines such as statistical physics, computer science, and mathematical statistics are studying ways to improve this and related methods and are exploring novel application areas. Leading approaches include the variational approach, which goes beyond factorizable distributions to achieve systematic improvements; the TAP (Thouless-Anderson-Palmer) approach, which incorporates correlations by including effective reaction terms in the mean field theory; and the more general methods of graphical models. Bringing together ideas and techniques from these diverse disciplines, this book covers the theoretical foundations of advanced mean field methods, explores the relation between the different approaches, examines the quality of the approximation obtained, and demonstrates their application to various areas of probabilistic modeling.

About the Author
Manfred Opper is a Reader and David Saad is Professor, the Neural Computing Research Group, School of Engineering and Applied Science, Aston University, UK.


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Mathematics - Mechanics and Probability by L. Bostock, S. Chandler

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Book Details :
  • Title : Mathematics - Mechanics and Probability (Mathematics Series)
  • Author : L. Bostock, S. Chandler
  • Paperback: 672 pages
  • Publisher: Trans-Atlantic Publications (December 1994)
  • Language: English
  • ISBN-10: 0859501418
  • ISBN-13: 978-0859501415
  • Size : 21.5 MB.
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Dealing with mechanics and the solving of mechanical problems with the help of pure mathematics, this A-Level text introduces at an early stage an appreciation of the properties of vectors. Throughout the book problems are solved using vector methods where appropriate, and many worked examples are provided to illustrate each main development of a topic. A set of straightforward problems follows each section, and a selection of more challenging questions appears in the miscellaneous exercises at the end of most chapters, with multiple-choice questions on most topics.


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MATLAB Programming by Linda Coulson

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Book Details :
  • Title : MATLAB Programming
  • Author : Linda Coulson
  • Paperback: 86 pages
  • Publisher: Global Media (2009)
  • Language: English
  • ISBN-10: N/A
  • ISBN-13: 978-9380168388
  • Size : 1.1 MB.
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Table of Contents
1. Basic MATLAB Concepts
2. Data Storage and Manipulation
3. Graphics
4. M File Programming
5. Mathematical Manipulations
6. More advanced I-O & Examples
7. Object-Oriented Programming
8. Comparing Octave and MATLAB
9. Toolboxes


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Lectures on Symplectic Geometry by Ana Cannas da Silva

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Book Details :
  • Title : Lectures on Symplectic Geometry
  • Author : Ana Cannas da Silva
  • Paperback: 226 pages
  • Publisher: 2006
  • Language: English
  • ISBN-10: N/A
  • ISBN-13: N/A
  • Size : 10.5 MB.
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  • Book Description :

The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text covers symplectomorphisms, local forms, contact manifold, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moments maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding. There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster.


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Understanding Pure Mathematics by A.J. Sadler, D.W.S. Thorning

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Book Details :
  • Title : Understanding Pure Mathematics
  • Author : A.J. Sadler, D.W.S. Thorning
  • Paperback: 608 pages
  • Publisher: Oxford University Press (May 28, 1987)
  • Language: English
  • ISBN-10: 0199142432
  • ISBN-13: 978-0199142439
  • Size : 18.4 MB.
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A classic single-volume textbook, popular for its direct and straightforward approach. Understanding Pure Mathematics starts by filling the gap between GCSE and A Level and builds on this base for candidates taking either single-subject of double-subject A Level.


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Cohort Analysis by Dr. Norval D. Glenn

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Book Details :
  • Title : Cohort Analysis (Quantitative Applications in the Social Sciences)
  • Editor : Dr. Norval D. Glenn
  • Paperback: 72 pages
  • Publisher: Sage Publications, Inc; 2nd edition (January 10, 2005)
  • Language: English
  • ISBN-10: 0761922156
  • ISBN-13: 978-0761922155
  • Size : 1.1 MB.
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Cohort Analysis, Second Edition covers the basics of the cohort approach to studying aging, social, and cultural change. This volume also critiques several commonly used (but flawed) methods of cohort analysis, and illustrates appropriate methods with analyses of personal happiness and attitudes toward premarital and extramarital sexual relations. Finally, the book describes the major sources of suitable data for cohort studies and gives the criteria for appropriate data.

About the Author

Norval D. Glenn is the Ashbel Smith Professor in Sociology and Stiles Professor in American Studies at the University of Texas at Austin. His main research interests relate to aging and the life course, and family relations in modern societies. He is a former editor of Contemporary Sociology and the Journal of Family Issues, and he has served on the editorial boards of such journals as the American Sociological Review, Public Opinion Quarterly, Journal of Marriage and Family, Demography, and Social Science Research.
His recent publications deal with such topics as the dissemination of social science findings to policy makers and the general public, changes in the institutional mechanisms of mate selection, and the relationship of age at marriage to marital success.


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The Mathematics of Paul Erdos by Paul Erdos, Ronald L. Graham, Jaroslav Nesetril

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Book Details :
  • Title : The Mathematics of Paul Erdos (Algorithms and Combinatorics)
  • Editor : Paul Erdos, Ronald L. Graham, Jaroslav Nesetril
  • Hardcover: 399 pages / Hardcover: 573 pages
  • Publisher: Springer (November 1996) / Springer; illustrated edition edition (November 1996)
  • Language: English
  • ISBN-10: 3540610324 / 3540610316
  • ISBN-13: 978-3540610328 / 978-3540610311
  • Size : 32.0 MB / 49.0 MB.
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This is the most comprehensive survey of the mathematical life of the legendary Paul Erdös, one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdös' research are covered in a single project. Because of overwhelming response from the mathematical community, the project now occupies over 900 pages, arranged into two volumes. These volumes contain both high level research articles as well as "key" articles which survey some of the cornerstones of Erdös' work, each written by a leading world specialist in the field. A special chapter "Early Days", rare photographs, and art related to Erdös complement this striking collection. A unique contribution is the bibliography on Erdös' publications: the most comprehensive ever published.


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Judgement and Planning in Chess by Max Euwe, John Nunn

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Book Details :
  • Title : Judgement and Planning in Chess (Batsford Algebraic Classics)
  • Author - Editor : Max Euwe, John Nunn
  • Paperback: 224 pages
  • Publisher: Batsford Ltd; 2nd edition (May 31, 1998)
  • Language: English
  • ISBN-10: 0713484365
  • ISBN-13: 978-0713484366
  • Size : 11.0 MB.
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An edition of a work first published in the 1950s, updated and converted to modern chess notation, in which Max Euwe, World Champion 1935-37, provides instruction on key elements of chess strategy. The editor of this edition, a grandmaster, has added analytical footnotes.

From the Inside Flap

Judgment And Planning In Chess focuses on that crucial point in the chess game -- eight or so moves into the game -- where the opening development breaks off and the middle game begins. This is precisely the part of the game that falls between opening books and middle-game books.
Dr. Euwe studies a number of orthodox openings and positions from the point where the opening stage has come to an end. He describes the characteristics of the position reached, shows why one or the other side stands better, and gives a practical demonstration of the means by which the game can be brought to its logical conclusion.
"Written with all the expository power for which the ex-champion is famous" (Times Literary Supplement), this well-known book is regarded as one of the standard manuals for developing players.


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Fractals and Multifractals in Ecology and Aquatic Science by Laurent Seuront

Posted by NTL at Saturday, February 27, 2010 ,

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Book Details :
  • Title : Fractals and Multifractals in Ecology and Aquatic Science
  • Author : Laurent Seuront
  • Hardcover: 360 pages
  • Publisher: CRC Press; 1 edition (October 12, 2009)
  • Language: English
  • ISBN-10: 0849327822
  • ISBN-13: 978-0849327827
  • Size : 10.4MB.
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Provides an Intuitive View of Various Ecological Patterns and Processes

Ecologists sometimes have a less-than-rigorous background in quantitative methods, yet research within this broad field is becoming increasingly mathematical. Written in a step-by-step fashion, Fractals and Multifractals in Ecology and Aquatic Science provides scientists with a basic understanding of fractals and multifractals and the techniques for utilizing them when analyzing ecological phenomenon.

With illustrations, tables, and graphs on virtually every page – several in color – this book is a comprehensive source of state-of-the-art ecological scaling and multiscaling methods at temporal and spatial scales, respectfully ranging from seconds to months and from millimeters to thousands of kilometers. It illustrates most of the data analysis techniques with real case studies often based on original findings. It also incorporates descriptions of current and new numerical techniques to analyze and deepen understanding of ecological situations and their solutions.

Includes a Wealth of Applications and Examples

This book also includes nonlinear analysis techniques and the application of concepts from chaos theory to problems of spatial and temporal patterns in ecological systems. Unlike other books on the subject, Fractals and Multifractals in Ecology and Aquatic Science is readily accessible to researchers in a variety of fields, such as microbiology, biology, ecology, hydrology, geology, oceanography, social sciences, and finance, regardless of their mathematical backgrounds. This volume demystifies the mathematical methods, many of which are often regarded as too complex, and allows the reader to access new and promising concepts, procedures, and related results.

About the Author

Laurent Seuront is a Professor in Biological Oceanography at the Flinders University (Adelaide, Australia) and a Senior Research Scientist at the South Australian Research and Development Institute (West Beach, Australia). Prior to his present position, he was a research fellow of the Japanese Society for the Promotion of Science at the Tokyo University of Fisheries (1999-2000) and a research scientist at the Centre National de la Recherche Scientifique (CNRS) in France (2001-2008). Among multiple awards, he recently received the CNRS Bronze Medal in France (2007) in recognition of his early career achievements, and a prestigious Australian Professorial Fellowship from the Australian Research Council.


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Computer models for water resources planning and management by Ralph Allen Wurbs

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Book Details :
  • Title : Computer models for water resources planning and management (IWR report)
  • Author : Ralph Allen Wurbs
  • Unknown Binding: 218 pages
  • Publisher: Available from the National Technical Information Service (1994)
  • Language: English
  • ASIN: B0006F5RR0
  • Size : 7.4MB.
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Abstract : A tremendous amount of work has been accomplished during the past three decades in developing computer models for use in water resources planning and management. Powerful generalized software packages are playing an increasingly important role in all aspects of water management. With recent advances in computer technology, essentially everyone working in the water resources and environmental field now has convenient access to desktop computers providing all the hardware capabilities needed to execute a mighty arsenal of available models. Computer modeling is no longer limited solely to organizations that can afford expensive mainframe computers. The purpose of this report is to make available computer programs more accessible to water management professionals. Information is provided to facilitate the identification, selection, and acquisition of software packages for a broad spectrum of water management modeling applications. An extremely large number of water management models providing a broad range of analysis capabilities have been reported in the published literature. Many other computer programs have been successfully developed and applied by water agencies and firms without being formally published. Commercial software products, which are extensively used in business, education, science, engineering, and other professional fields, also play important roles in environmental and water resources planning and management.


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Sample Sizes for Clinical Trials by Steven A. Julious

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Book Details :
  • Title : Sample Sizes for Clinical Trials
  • Author : Steven A. Julious
  • Hardcover: 317 pages
  • Publisher: Chapman & Hall; 1 edition (August 26, 2009)
  • Language: English
  • ISBN-10: 1584887397
  • ISBN-13: 978-1584887393
  • Size : 1.6 MB.
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With worked examples and problems based on real-world scenarios, this book takes readers through the process of calculating the sample size for many types of clinical trials. It covers the most common types of clinical trials across all phases. The author discusses how assumptions made in a sample size calculation can impact the calculation. He provides calculations for many of the trials and offers hints and tips on how to optimize the calculations. He also illustrates the steps involved in determining sample size, from defining the trial objective to selecting an appropriate endpoint.

Drawing on various real-world applications, Sample Sizes for Clinical Trials takes readers through the process of calculating sample sizes for many types of clinical trials. It provides descriptions of the calculations with a practical emphasis.

Focusing on normal, binary, ordinal, and survival data, the book explores a range of trials, including superiority, equivalence, non-inferiority, bioequivalence, and precision for both parallel group and crossover designs. The author discusses how trial objectives impact the study design with respect to the derivation of formulae for sample size calculations. He uses real-life studies throughout to show how the concepts and calculations can be employed.

This work underscores the importance of sample size calculation in the design of a clinical trial. With useful calculation tables throughout, it enables readers to quickly find an appropriate formula, formula application, and associated worked example.

About the Author

Steven A. Julious is a Senior Lecturer in Medical Statistics at the University of Sheffield. His research interests include clinical trials, clinical trial design, early phase trials, and the development of new methodologies related to clinical trials.


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Algorithms and Complexity by Herbert S. Wilf

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Book Details :
  • Title : Algorithms and Complexity
  • Author : Herbert S. Wilf
  • Hardcover: 228 pages
  • Publisher: AK Peters, Ltd.; 2nd edition (December 1, 2002)
  • Language: English
  • ISBN-10: 1568811780
  • ISBN-13: 978-1568811789
  • Size : 11.1 MB.
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  • Book Description :

An internet search for the terms "algorithms and complexity" delivers a myriad of links, topped by the popular website for this book.

Updated and back in print, this classic text provides the perfect introduction to the tools of algorithmic design and analysis, concentrating on basic principles and illustrating them with well-chosen paradigms such as:

• Fast Fourier Transform
• NP-Completeness
• Number Theory and Cryptography

Including updated topics for the new edition:
• The Network Flow Algorithm
• A breakthrough result in Primality Testing

And very importantly, it contains solutions and hints for most of the problems.

About the Author
Herbert S. Wilf is the Thomas A. Scott Professor of Mathematics at the University of Pennsylvania. In 1998 he received the Leroy P. Steele Prize for Seminal Contribution to Research, awarded by the American Mathematical Society, and in 1996 he was awarded the Deborah and Franklin Tepper Haimo Award for Distinguished College or University Teaching of mathematics.


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Elliptic Curves and Their Applications to Cryptography: An Introduction by Andreas Enge

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Book Details :
  • Title : Elliptic Curves and Their Applications to Cryptography: An Introduction
  • Author : Andreas Enge
  • Hardcover: 184 pages
  • Publisher: Springer; 1st edition (August 31, 1999)
  • Language: English
  • ISBN-10: 0792385896
  • ISBN-13: 978-0792385899
  • Size : 1.8 MB.
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Product Description
Since their invention in the late seventies, public key cryptosystems have become an indispensable asset in establishing private and secure electronic communication, and this need, given the tremendous growth of the Internet, is likely to continue growing. Elliptic curve cryptosystems represent the state of the art for such systems. Elliptic Curves and Their Applications to Cryptography: An Introduction provides a comprehensive and self-contained introduction to elliptic curves and how they are employed to secure public key cryptosystems. Even though the elegant mathematical theory underlying cryptosystems is considerably more involved than for other systems, this text requires the reader to have only an elementary knowledge of basic algebra. The text nevertheless leads to problems at the forefront of current research, featuring chapters on point counting algorithms and security issues. The Adopted unifying approach treats with equal care elliptic curves over fields of even characteristic, which are especially suited for hardware implementations, and curves over fields of odd characteristic, which have traditionally received more attention. Elliptic Curves and Their Applications: An Introduction has been used successfully for teaching advanced undergraduate courses. It will be of greatest interest to mathematicians, computer scientists, and engineers who are curious about elliptic curve cryptography in practice, without losing the beauty of the underlying mathematics.


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Games of Strategy, Second Edition, by Avinash K. Dixit, Susan Skeath

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Book Details :
  • Title : Elements of Modern Algebra
  • Author : Avinash K. Dixit, Susan Skeath
  • Hardcover: 688 pages / Hardcover: 600 pages
  • Publisher: W.W. Norton & Co.; Second Edition edition (April 2004) / W. W. Norton & Company (June 1999)
  • Language: English
  • ISBN-10: 0393924998 / 0393974219
  • ISBN-13: 978-0393924992 / 978-0393974218
  • Size : 12.0 MB.
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Now available in a Second Edition, Games of Strategy remains the most accessible principles-level text for courses in game theory, addressing a remarkably broad range of concepts in a narrative that is both clear and compelling. Using resonant real-world examples, the authors simplify difficult theoretic ideas, helping students see the value of strategic thinking in a variety of situations. The text has been carefully updated for this Second Edition, including thorough revisions of the sections on sequential- and simultaneous-move games and those on voting and auctioning.
This is an inviting introduction to game theory, offering students an engaging, comprehensive view of the discipline without assuming a prior knowledge of economics or complex mathematics (uses only high school algebra).
Review
A marvelous book! Every topic is right on target, and the exposition is extraordinary. You can count me among the many people who will find it the best undergraduate text on the subject. -- Vincent Crawford, University of California-San Diego

Dixit and Skeath recognize the possibility of teaching the concepts of game theory at the earliest stages of the undergraduate curriculum; this is very progressive and praiseworthy. Using Games of Strategy, students everywhere--budding military strategists at Annapolis and economic theorists in training at Chicago alike--will be able to enjoy an early introduction to the field. The generous variety of illustrative specific cases has the effect that what is learned can be more easily retained than if there were only the assertion of theoretical concepts without enlightening examples. -- John F. Nash jr., Princeton University, Nobel Laureate, Economic Sciences

Games of Strategy provides a marvelous introduction to game theory. It is full of engaging examples drawn from economics, political science, and other areas. This book would serve very well as the core text for a nontechnical game theory course in political science departments. -- Robert Powell, University of California-Berkeley

I have long thought that an elementary game theory text was a great idea, and I have reviewed a number of book proposals and manuscripts by economists hoping to produce such a book. Games of Strategy is super, both in its initial objectives and in its execution of them. -- Amanda Bayer, Swarthmore College

Thanks very much for allowing me to use the draft version of Games of Strategy, by Avinash Dixit and Susan Skeath. It is a superb book, probably the best text that I have used in my twelve years as a college professor. My sense is that it quickly will become the most widely used nontechnical introduction to game theory. It is extremely well done. -- Larry Evans, College of William and Mary

To know game theory is to change your lifetime way of thinking. Games of Strategy is a delightful skeleton key to the twenty-first century's emerging culture.


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Elements of Modern Algebra by Jimmie Gilbert, Linda Gilbert

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Book Details :
  • Title : Elements of Modern Algebra
  • Author : Jimmie Gilbert, Linda Gilbert
  • Hardcover: 416 pages
  • Publisher: Brooks Cole; 5 edition (September 10, 1999)
  • Language: English
  • ISBN-10: 0534373518
  • ISBN-13: 978-0534373511
  • Size : 14.6 MB.
  • Type : Pdf
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  • Book Description :

The authors gradually introduce and develop concepts to help make the material more accessible. This text is intended for the introductory course in algebraic structures and covers groups before rings. This course often is used to bridge the gap from manipulative to theoretical mathematics and to help prepare secondary mathematics teachers for their careers. This text includes some optional sections to give instructors flexibility.
About the Author
Jimmie Gilbert is Professor of Mathematics at the University of South Carolina, Spartanburg.


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Sociology and Complexity Science: A New Field of Inquiry by Brian Castellani, Frederic William Hafferty

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Book Details :
  • Title : Sociology and Complexity Science: A New Field of Inquiry (Understanding Complex Systems)
  • Author : Brian Castellani, Frederic William Hafferty
  • Hardcover: 277 pages
  • Publisher: Springer; 1 edition (February 5, 2009)
  • Language: English
  • ISBN-10: 3540884610
  • ISBN-13: 978-3540884613
  • Size : 5.5 MB.
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  • Book Description :

This book is the first to identify and review the new field of study, sociology and complexity science—or SACS for short. SACS is comprised of five cutting-edge areas of research: computational sociology, the British-based School of Complexity (BBC), complex social network analysis (CSNA), sociocybernetics and the Luhmann School of Complexity (LSC). Together, these five areas represent the latest development in complexity science and sociological systems thinking, offering researchers a powerful, new set of tools for addressing the growing complexity of sociological inquiry.
This book also showcases a new method for modeling social systems, called the SACS Toolkit. The SACS Toolkit comes with a theoretical framework (social complexity theory), procedural algorithm (assemblage) and recommended toolset for modeling social systems (qualitatively, historically or numerically) from the ground-up. In fact, this book uses the SACS Toolkit to review the new field of SACS. The third feature of this book is its compendium of maps, graphs and figures—all located in one chapter. Demonstrating the visual ingenuity of complexity science method, this compendium provides a picture-book tour of the new field of SACS. Finally, this book comes with a companion website—an internet resource for exploring the new science of complexity and its intersection with sociology; and for downloading the maps (in color) used in this book. Useful for teachers, students and researchers, this book articulates a possible future for social scientific inquiry in the 21st century.


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Homogenization Method: An Introduction by Lars Erik Persson

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Book Details :
  • Title : Homogenization Method: An Introduction
  • Author : Lars Erik Persson
  • Paperback: 80 pages
  • Publisher: Chartwell-Bratt Publishing & Training Ltd (August 1993)
  • Language: English
  • ISBN-10: 086238334X
  • ISBN-13: 978-0862383343
  • Size : 11.0 MB.
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Several problems in e.g. Engineering Sciences, Physics or Chemistry can be modelled by using partial differerential equations with periodically (or almost periodically) and rapidly oscillating coefficients. Let us only mention problems
such as heat, sound, current and stress distribution in composite materials, flow in porous media, macroscopic properties of crystalline or polymer structures or optimal design of e.g. plates consisting of several materials, where all these problems are assumed to have a fine and complicated microstructure.


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Equivariant Stable Homotopy Theory by L. Gaunce Jr. Lewis, J. Peter May, Mark Steinberger, J.E. McClure

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Book Details :
  • Title : Equivariant Stable Homotopy Theory (Lecture Notes in Mathematics 1213)
  • Author : L. Gaunce Jr. Lewis, J. Peter May, Mark Steinberger, J.E. McClure
  • Paperback: 538 pages
  • Publisher: Springer-Verlag; 1 edition (November 7, 1986)
  • Language: English
  • ISBN-10: 3540168206
  • ISBN-13: 978-3540168201
  • Size : 29.6 MB.
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  • Book Description :

No Description.


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Mathographics by Robert Dixon

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Book Details :
  • Title : Mathographics
  • Author : Robert Dixon
  • Paperback: 224 pages
  • Publisher: Dover Publications; Dover ed edition (February 1, 1991)
  • Language: English
  • ISBN-10: 0486266397
  • ISBN-13: 978-0486266398
  • Size : 6.6 MB.
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  • Book Description :

Stimulating, unique book explores the possibilities of mathematical drawing through compass constructions and computer graphics. Over 100 full-page drawings demonstrate possibilities: five-point egg, golden ratio, 17-gon, plughole vortex, blancmange curve, Durer’s pentagons, pentasnow, turtle geometry, many more. Exercises (with answers). "...wealth of intriguing and lovely ideas."—Information Technology & Learning.

. . . a wealth of intriguing and lovely ideas. . ." -Information Technology &
Learning.

While the beauty of mathematics is often discussed, the aesthetic appeal of the discipline is seldom demonstrated as clearly as in this intriguing journey into the realms where art and mathematics merge. Aimed at a wide range of ages and abilities, this engrossing book explores the possibilities of mathematical drawing through compass constructions and computer graphics.

Compass construction is an extremely ancient art, requiring no special skills other than the care it takes to place a compass point accurately. For the computer graphics part of the present work, however, readers will need some familiarity with basic high school mathematics-mainly algebra and trigonometry. Still, much of the book can be enjoyed even by "mathophobes," for it is about lines and circles and how to put them together to make various patterns, both abstract and natural.

One hundred and six full-page drawings, ranging from totally abstract to somewhat pictorial, demonstrate the possibilities of mathematical drawing and serve as inspiration to readers to carry out their own creative investigations. Among the illustrations are such intriguing configurations as a five-point egg, golden ratio, 17 -gon, plughole vortex, blancmange curve, Durer's pentagons, pentasnow, turtle geometry and many more. In guiding students toward the comprehension and creation of such figures, the author explains helpful basic principles (of number, length and angle) as well as reviewing relevant fundamentals of trigonometry. In addition, he has provided numerous useful exercises (with answers) at the ends of the chapters, together with recommended further reading, detailed in the bibliography.


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Advances in Natural Computation: First International Conference, ICNC 2005, Changsha, China, August 27-29, 2005, Proceedings, Part I, by Lipo Wang

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Book Details :
  • Title : Advances in Natural Computation: First International Conference, ICNC 2005, Changsha, China, August 27-29, 2005, Proceedings, Part I (Lecture Notes in ... Computer Science and General Issues) (Pt. 1)
  • Editor : Lipo Wang
  • Paperback: 1302 pages
  • Publisher: Springer; 1 edition (September 1, 2005)
  • Language: English
  • ISBN-10: 3540283234
  • ISBN-13: 978-3540283232
  • Size : 35.1 MB.
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  • Book Description :

The three volume set LNCS 3610, LNCS 3611, and LNCS 3612 constitutes the refereed proceedings of the First International Conference on Natural Computation, ICNC 2005, held in Changsha, China, in August 2005 as a joint event in federation with the Second International Conference on Fuzzy Systems and Knowledge Discovery FSKD 2005 (LNAI volumes 3613 and 3614).


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Numerical Analysis Using MATLAB and Excel By Steven T. Karris

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Book Details :
  • Title : Numerical Analysis Using MATLAB and Excel
  • Author : Steven T. Karris
  • Paperback: 627 pages
  • Publisher: Orchard Publications 2007
  • Language: English
  • ISBN-10: 1934404047
  • ISBN-13: N/A
  • Size : 3.0 MB.
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This text is written primarily for students/readers who have a good background of high school algebra, geometry, trigonometry, and the fundamentals of differential and integral calculus. This text includes the following chapters and appendices: . Introduction to MATLAB . Root Approximations . Sinusoids and Complex Numbers . Matrices and Determinants . Review of Differential Equations . Fourier, Taylor, and Maclaurin Series . Finite Differences and Interpolation . Linear and Parabolic Regression . Solution of Differential Equations by Numerical Methods . Integration by Numerical Methods . Difference Equations . Partial Fraction Expansion . The Gamma and Beta Functions . Orthogonal Functions and Matrix Factorizations . Bessel, Legendre, and Chebyshev Polynomials . Optimization Methods . Difference Equations in Discrete Time Systems . Introduction to Simulink . Ill Conditioned Matrices Each chapter contains numerous practical applications supplemented with detailed instructions for using MATLAB and/or Excel to obtain quick solutions.


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Numerical Analysis Using MATLAB and Spreadsheets By Steven T. Karris

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Book Details :
  • Title : Numerical Analysis Using MATLAB and Spreadsheets
  • Author : Steven T. Karris
  • Paperback: 570 pages
  • Publisher: Orchard Publications 2005
  • Language: English
  • ISBN-10: 0974423912
  • ISBN-13: N/A
  • Size : 4.0 MB.
  • Type : Pdf
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  • Book Description :

This text is written primarily for students/readers who have a good background of high school algebra, geometry, trigonometry, and the fundamentals of differential and integral calculus. This text includes the following chapters and appendices: . Introduction to MATLAB . Root Approximations . Sinusoids and Complex Numbers . Matrices and Determinants . Review of Differential Equations . Fourier, Taylor, and Maclaurin Series . Finite Differences and Interpolation . Linear and Parabolic Regression . Solution of Differential Equations by Numerical Methods . Integration by Numerical Methods . Difference Equations . Partial Fraction Expansion . The Gamma and Beta Functions . Orthogonal Functions and Matrix Factorizations . Bessel, Legendre, and Chebyshev Polynomials . Optimization Methods . Difference Equations in Discrete Time Systems . Introduction to Simulink . Ill Conditioned Matrices Each chapter contains numerous practical applications supplemented with detailed instructions for using MATLAB and/or Excel to obtain quick solutions.


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A Linear Systems Primer by Panos J. Antsaklis, Anthony N. Michel

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Book Details :
  • Title : A Linear Systems Primer
  • Author : Panos J. Antsaklis, Anthony N. Michel
  • Paperback: 520 pages
  • Publisher: Birkhäuser Boston; 1 edition (September 25, 2007)
  • Language: English
  • ISBN-10: 0817644601
  • ISBN-13: 978-0817644604
  • Size : 5.4 MB.
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  • Book Description :

Based on a streamlined presentation of the authors' successful work Linear Systems, this textbook provides an introduction to systems theory with an emphasis on control. The material presented is broad enough to give the reader a clear picture of the dynamical behavior of linear systems as well as their advantages and limitations. Fundamental results and topics essential to linear systems theory are emphasized. The emphasis is on time-invariant systems, both continuous- and discrete-time.

Key features and topics:

* Notes, references, exercises, and a summary and highlights section at the end of each chapter.
* Comprehensive index and answers to selected exercises at the end of the book.
* Necessary mathematical background material included in an appendix.
* Helpful guidelines for the reader in the preface.
* Three core chapters guiding the reader to an excellent understanding of the dynamical behavior of systems.
* Detailed coverage of internal and external system descriptions, including state variable, impulse response and transfer function, polynomial matrix, and fractional representations.
* Explanation of stability, controllability, observability, and realizations with an emphasis on fundamental results.
* Detailed discussion of state-feedback, state-estimation, and eigenvalue assignment.
* Emphasis on time-invariant systems, both continuous- and discrete-time. For full coverage of time-variant systems, the reader is encouraged to refer to the companion book Linear Systems, which contains more detailed descriptions and additional material, including all the proofs of the results presented here.
* Solutions manual available to instructors upon adoption of the text.

A Linear Systems Primer is geared towards first-year graduate and senior undergraduate students in a typical one-semester introductory course on systems and control. It may also serve as an excellent reference or self-study guide for electrical, mechanical, chemical, and aerospace engineers, applied mathematicians, and researchers working in control, communications, and signal processing.


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Manifolds of Differentiable Mappings by Peter W. Michor

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Book Details :
  • Title : Manifolds of Differentiable Mappings (Shiva mathematics series ; 3)
  • Author : Peter W. Michor
  • Hardcover: 158 pages
  • Publisher: Birkhauser (January 1980)
  • Language: English
  • ISBN-10: 0906812038
  • ISBN-13: 978-0906812037
  • Size : 13.9 MB.
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No Description.


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MATLAB® Recipes for Earth Sciences by Martin H. Trauth

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Book Details :
  • Title : MATLAB® Recipes for Earth Sciences
  • Author : Martin H. Trauth
  • E. Sillmann (Illustrator), Robin Gebbers (Collaborator), Norbert Marwan(Contributor)
  • Hardcover: 238 pages
  • Publisher: Springer; 1 edition (March 14, 2006)
  • Language: English
  • ISBN-10: 3540279830
  • ISBN-13: 978-3540279839
  • Size : 4.3 MB.
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MATLAB is used in a wide range of applications in geosciences, such as image processing in remote sensing, generation and processing of digital elevation models and the analysis of time series. This book introduces basic methods of data analysis in geosciences using MATLAB. The text includes a brief description of each method and numerous examples demonstrating how MATLAB can be used on data sets from earth sciences. All MATLAB recipes can be easily modified in order to analyse the reader's own data sets. The book comes with a CD containing exemplary data sets and a digital version of the MATLAB recipes.

Review

This is a well written, perhaps slightly overpriced book, providing an overview and starting point for a wide range of applications in geosciences, such as image processing in remote sensing, generation and processing of digital elevation models and the analysis of time series - as stated. Also, as stated, the book introduces methods of data analysis in geosciences using MATLAB. I purchased the book for the "applications in geosciences" part and not the "MATLAB" part. I have nothing, in particular, against using MATLAB, but I choose to use Python. Python is free, and I (and many, many others) believe it to provide more manageable and powerful numerical analysis capabilities as well as better overall peripheral integration (integrating with other programming languages, applications, OS systems, or other platform specifics). The nice thing about the book is that the MATLAB code snippets and brief implementation explanations, can be easily translated into python implementation. If you are tied to MATLAB, I don't think you will be disappointed. If you have some familiarity with python then you will also be able to glean allot from the content. Another reason that I enjoy this book, is that while it relies on quite a bit of advanced math and its application, it uses the math as an 'engineering type' book should - as a tool to use to solve a problem. The mathematical element flows nicely with the subject matter and I suspect that even an individual without a mathematics background could gain an appreciation for the math based on the context and would not necessarily need to know or learn every underlying aspect of theory that generated the mathematics used. This is refreshing to see in an advanced book - here is what you might be up against, here is what you need to get the job done.


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MATLAB Programming by David Kuncicky

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Book Details :
  • Title : MATLAB Programming
  • Author : David Kuncicky
  • Paperback: 267 pages
  • Publisher: Prentice Hall (June 22, 2003)
  • Language: English
  • ISBN-10: 013035127X
  • ISBN-13: 978-0130351272
  • Size : 2.0 MB.
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  • Book Description :

ESource¿Prentice Hall's Engineering Source¿provides a comprehensive, customizable introductory engineering and computing library. Featuring over 25 modules and growing, ESource allows users to fully customize their books through the ESource website. Using the ESource online BookBuild system at www.prenhall.com/esource, users can view and select book chapters, change the sequence, instantly calculate the book's net (bookstore) price, request a free examination copy, and generate an ISBN for placing a bookstore order. The MATLAB System; The MATLAB Interactive Environment; The Programming Elements of MATLAB; Control Structures; Arrays and Matrix Operations; Plotting and Graphing; Procedural Abstraction; Recursion; Introduction to Object-Oriented Programming; and Software Development. For professionals in General Engineering or Computer Science fields.

About the Author

David C. Kuncicky is a native Floridian. He earned his Baccalaureate in psychology, Master's in computer science, and Ph.D. in computer science from Florida State University. He has served as a faculty member in the Department of Electrical Engineering at the FAMU-FSU College of Engineering and the Department of Computer Science at Florida State University. He has taught computer science and computer engineering courses for over 15 years. He has published research in the areas of intelligent hybrid systems and neural networks. He is currently the Director of Engineering at Bioreason, Inc. in Sante Fe, New Mexico.


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Topics in Field Theory by Gregory Karpilovsky

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Book Details :
  • Title : Topics in Field Theory (Notas De Matematica, 124)
  • Author : Gregory Karpilovsky
  • Hardcover: 558 pages
  • Publisher: North-Holland (March 1989)
  • Language: English
  • ISBN-10: 0444872973
  • ISBN-13: 978-0444872975
  • Size : 10.8 MB.
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  • Book Description :

This monograph gives a systematic account of certain important topics pertaining to field theory, including the central ideas, basic results and fundamental methods. Avoiding excessive technical detail, the book is intended for the student who has completed the equivalent of a standard first-year graduate algebra course. Thus it is assumed that the reader is familiar with basic ring-theoretic and group-theoretic concepts. A chapter on algebraic preliminaries is included, as well as a fairly large bibliography of works which are either directly relevant to the text or offer supplementary material of interest.


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Introduction to Algebraic Geometry by J. G. Semple, L. Roth

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Book Details :
  • Title : Introduction to Algebraic Geometry
  • Author : J. G. Semple, L. Roth
  • Paperback: 480 pages
  • Publisher: Oxford University Press, USA (November 14, 1985)
  • Language: English
  • ISBN-10: 0198533632
  • ISBN-13: 978-0198533634
  • Size : 6.7 MB.
  • Type : Djvu
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  • Book Description :

This classic work, now available in paperback, outlines the geometric aspects of algebraic equations, one of the oldest and most central subjects in mathematics. Recent decades have seen explosive growth in the more abstract side of algeraic geometry, with great emphasis on new basic techniques. This timely reissue complements these recent innovations, providing a much-needed background in such areas as plane curves, quadratic transformations, the geometry of line systems, and the projective characters of curves and surfaces. Providing a wealth of definitive material, this work will appeal to those interested in algebraic geometry and in more modern abstract studies.


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Researching Learning in Virtual Worlds by Anna Peachey, Julia Gillen, Daniel Livingstone, Sarah Smith-Robbins

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Book Details :
  • Title : Researching Learning in Virtual Worlds (Human-Computer Interaction Series)
  • Editor : Anna Peachey, Julia Gillen, Daniel Livingstone, Sarah Smith-Robbins
  • Hardcover: 193 pages
  • Publisher: Springer; 1st Edition. edition (March 1, 2010)
  • Language: English
  • ISBN-10: 1849960461
  • ISBN-13: 978-1849960465
  • Size : 3.0 MB.
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  • Book Description :

Most of the chapters in this book are extended papers from Research Learning in Virtual Environments (reLIVE08), an international conference held by the UK Open University in Milton Keynes in November 2008. Authors of the best papers and presentations from the conferences were invited to contribute to Research Learning in Virtual Worlds, the first book to specifically address research methods and related issues for education in virtual worlds.

The book covers a range of research undertaken in virtual worlds. It opens with an accessible introduction both to the book and to the subject area, making it an ideal springboard for those who are new to research in this area. The subsequent ten chapters present work covering a range of research methodologies across a broad discipline base, providing essential reading for advanced undergraduate or postgraduate researchers working in education in virtual worlds, and engaging background material for researchers in similar and related disciplines.

Contains a strong theme of education in the specific context of virtual worlds
Explores multiple aspects of teaching and learning across disciplines
Covers a range of research methods and issues with specific application to the context of learning in virtual worlds

Researching Learning in Virtual Worlds covers a range of research undertaken in 3D virtual environments, looking at both the methods and results of the studies.

This groundbreaking book is the first to specifically address research methods and related issues for education in virtual worlds. It opens with an accessible introduction to the book and to the subject, providing an ideal springboard for those who are new to research in this area. The subsequent ten chapters present work covering a range of research methodologies across a broad discipline base, making it essential reading for advanced undergraduate or postgraduate researchers working in education in virtual worlds, and engaging background material for researchers in similar and related disciplines.

Many of the chapters in this book are extended papers from Researching Learning in Virtual Environments (ReLIVE08), an international conference hosted by the Open University UK. Authors of the best papers and presentations from the conference were invited to contribute to Researching Learning in Virtual Worlds.


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Curves and Surfaces for Computer Graphics by David Salomon

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Book Details :
  • Title : Curves and Surfaces for Computer Graphics
  • Author : David Salomon
  • Hardcover: 460 pages
  • Publisher: Springer; 1 edition (September 8, 2005)
  • Language: English
  • ISBN-10: 0387241965
  • ISBN-13: 978-0387241968
  • Size : 11.7 MB.
  • Type : Pdf
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  • Book Description :

Computer graphics is important in many areas including engineering design, architecture, education, and computer art and animation. This book examines a wide array of current methods used in creating real-looking objects in the computer, one of the main aims of computer graphics.

Key features:

* Good foundational mathematical introduction to curves and surfaces; no advanced math required

* Topics organized by different interpolation/approximation techniques, each technique providing useful information about curves and surfaces

* Exposition motivated by numerous examples and exercises sprinkled throughout, aiding the reader

* Includes a gallery of color images, Mathematica code listings, and sections on curves & surfaces by refinement and on sweep surfaces

* Web site maintained and updated by the author, providing readers with errata and auxiliary material

This engaging text is geared to a broad and general readership of computer science/architecture engineers using computer graphics to design objects, programmers for computer gamemakers, applied mathematicians, and students majoring in computer graphics and its applications. It may be used in a classroom setting or as a general reference.


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The Theory of Algebraic Number Fields by David Hilbert

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Book Details :
  • Title : The Theory of Algebraic Number Fields
  • Author : David Hilbert
  • Translator : I.T. Adamson
  • Introduction : F. Lemmermeyer, N. Schappacher, R. Schoof
  • Hardcover: 350 pages
  • Publisher: Springer; 1 edition (October 1, 1998)
  • Language: English
  • ISBN-10: 3540627790
  • ISBN-13: 978-3540627791
  • Size : 13.1 MB.
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  • Book Description :

This book is a translation into English of Hilbert's "Theorie der algebraischen Zahlkrper" best known as the "Zahlbericht", first published in 1897, in which he provided an elegantly integrated overview of the development of algebraic number theory up to the end of the nineteenth century. The Zahlbericht provided also a firm foundation for further research in the subject. It is based on the work of the great number theorists of the nineteenth century. The Zahlbericht can be seen as the starting point of all twentieth century investigations in algebraic number theory, reciprocity laws and class field theory. For this English edition an Introduction has been added by F. Lemmermeyer and N. Schappacher.


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Mathematics in Transport Planning and Control by J.D. Griffiths

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Book Details :
  • Title : Mathematics in Transport Planning and Control
  • Editor : J.D. Griffiths
  • Hardcover: 428 pages
  • Publisher: Pergamon; 1 edition (December 29, 1998)
  • Language: English
  • ISBN-10: 0080434304
  • ISBN-13: 978-0080434308
  • Size : 19.1 MB.
  • Type : Pdf
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  • Book Description :

This volume contains forty of the papers presented at the International Conference on Mathematics in Transport Planning and Control which was held at Cardiff University from 1-3 April, 1998. This was the third such conference run under the auspices of the Institute of Mathematics and Its Applications, the first being held at the University of Surrey in 1979, and the second at Cardiff University in 1989. Over fifty papers were submitted for presentation at the conference.

It will be clear from the contents that mathematical ideas and methodologies continue to play a prominent part in the description and solution of the many and varied problems that are being currently investigated in quite diverse areas of transport research. Applications will be found on transport planning, congestion, assignment, networks, signalling, road safety, and environmental issues.


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L² Moduli Spaces on 4-Manifolds with Cylindrical Ends by Clifford Henry Taubes

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Book Details :
  • Title : L² Moduli Spaces on 4-Manifolds with Cylindrical Ends (Monographs in Geometry and Topology, Vol. 1)
  • Author : Clifford Henry Taubes
  • Hardcover: 205 pages
  • Publisher: International Press of Boston (January 1, 1993)
  • Language: English
  • ISBN-10: 1571460071
  • ISBN-13: 978-1571460073
  • Size : 1.3 MB.
  • Type : Djvu
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  • Book Description :

This monograph discusses important results in the fields of differential geometry and topology. It sets the framework for development in these areas and should be a useful reference tool for both students and researchers in these fields.


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Handbook of Mathematics for Engineers and Scientists by Andrei D. Polyanin, Alexander V. Manzhirov

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Book Details :
  • Title : Handbook of Mathematics for Engineers and Scientists
  • Author : Andrei D. Polyanin, Alexander V. Manzhirov
  • Hardcover: 1544 pages
  • Publisher: Chapman and Hall/CRC; 1 edition (November 27, 2006)
  • Language: English
  • ISBN-10: 1584885025
  • ISBN-13: 978-1584885023
  • Size : 10.3 MB.
  • Type : Pdf
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The Handbook of Mathematics for Engineers and Scientists covers the main fields of mathematics and focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. To accommodate different mathematical backgrounds, the preeminent authors outline the material in a simplified, schematic manner, avoiding special terminology wherever possible.

Organized in ascending order of complexity, the material is divided into two parts. The first part is a coherent survey of the most important definitions, formulas, equations, methods, and theorems. It covers arithmetic, elementary and analytic geometry, algebra, differential and integral calculus, special functions, calculus of variations, and probability theory. Numerous specific examples clarify the methods for solving problems and equations. The second part provides many in-depth mathematical tables, including those of exact solutions of various types of equations.

This concise, comprehensive compendium of mathematical definitions, formulas, and theorems provides the foundation for exploring scientific and technological phenomena.


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Mathematical Logic by Joseph R. Shoenfield

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Book Details :
  • Title : Mathematical Logic
  • Author : Joseph R. Shoenfield
  • Paperback: 356 pages
  • Publisher: AK Peters, Ltd.; 1st edition (January 15, 2001)
  • Language: English
  • ISBN-10: 1568811357
  • ISBN-13: 978-1568811352
  • Size : 4.2 MB.
  • Type : Djvu
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Starting with the concept that mathematical logic is not a collection of vaguely related results, but a method of attacking some of the most interesting problems which face the mathematician, the author sets the tone for this classic introduction. The basic concepts are presented in an unusually clear and accessible fashion, keeping in mind the original purpose of mathematical logic to build the foundations of this vast edifice of knowledge in a way that helps and intrigues the working mathematician as much as the philosophically minded student of logic. This book has served as a rite of passage to many mature and accomplished researchers.


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An Introduction to Lagrangian Mechanics by Alain J. Brizard

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Book Details :
  • Title : An Introduction to Lagrangian Mechanics
  • Author : Alain J. Brizard
  • Hardcover: 276 pages / Paperback: 276 pages
  • Publisher: World Scientific Publishing Company (October 13, 2008)
  • Language: English
  • ISBN-10: 9812818367 / 9812818375
  • ISBN-13: 978-9812818362 / 978-9812818379
  • Size : 1.7 MB.
  • Type : Pdf
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An Introduction to Lagrangian Mechanics begins with a proper historical perspective on the Lagrangian method by presenting Fermat s Principle of Least Time (as an introduction to the Calculus of Variations) as well as the principles of Maupertuis, Jacobi, and d Alembert that preceded Hamilton s formulation of the Principle of Least Action, from which the Euler Lagrange equations of motion are derived. Other additional topics not traditionally presented in undergraduate textbooks include the treatment of constraint forces in Lagrangian Mechanics; Routh s procedure for Lagrangian systems with symmetries; the art of numerical analysis for physical systems; variational formulations for several continuous Lagrangian systems; an introduction to elliptic functions with applications in Classical Mechanics; and Noncanonical Hamiltonian Mechanics and perturbation theory.

This textbook is suitable for undergraduate students who have acquired the mathematical skills needed to complete a course in Modern Physics.

Contents: The Calculus of Variations; Lagrangian Mechanics; Hamiltonian Mechanics; Motion in a Central-Force Field; Collisions and Scattering Theory; Motion in a Non-Inertial Frame; Rigid Body Motion; Normal-Mode Analysis; Continuous Lagrangian Systems; Appendices:; Basic Mathematical Methods; Elliptic Functions and Integrals; Noncanonical Hamiltonian Mechanics.


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Schaum's Outline of Probability and Statistics, 3/E, by Murray Spiegel, John Schiller, R. Alu Srinivasan

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Book Details :
  • Title : Schaum's Outline of Probability and Statistics, 3/E (Schaum's Outline Series)
  • Author : Murray Spiegel, John Schiller, R. Alu Srinivasan
  • Paperback: 432 pages
  • Publisher: McGraw-Hill; 3 edition (August 26, 2008)
  • Language: English
  • ISBN-10: 0071544259
  • ISBN-13: 978-0071544252
  • Size : 11.0 MB.
  • Type : Pdf
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Confusing Textbooks? Missed Lectures? Not Enough Time?
Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.
This Schaum's Outline gives you
  • Practice problems with full explanations that reinforce knowledge
  • Coverage of the most up-to-date developments in your course field
  • In-depth review of practices and applications
Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!
Schaum's Outlines-Problem Solved.
This theme is continued in the third edition in which the book has been reformatted and a chapter on Bayesian methods has been added. In recent years, the Bayesian paradigm has come to enjoy increased popularity and impact in such areas as economics, environmental science, medicine, and finance. Since Bayesian statistical analysis is highly computational, it is gaining even wider acceptance with advances in computer technology. We feel that an introduction to the basic principles of Bayesian data analysis is therefore in order and is consistent with Professor Murray R. Spiegel’s main purpose in writing the original text—to present a modern introduction to probability and statistics using a background of calculus.


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Nonlinear Partial Differential Equations for Scientists and Engineers, Second Edition, by Lokenath Debnath

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Book Details :
  • Title : Nonlinear Partial Differential Equations for Scientists and Engineers, Second Edition
  • Author : Lokenath Debnath
  • Hardcover: 700 pages
  • Publisher: Birkhäuser Boston; 2nd edition (December 17, 2004)
  • Language: English
  • ISBN-10: 0817643230
  • ISBN-13: 978-0817643232
  • Size : 4.1 MB.
  • Type : Pdf
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"An exceptionally complete overview. There are numerous examples and the emphasis is on applications to almost all areas of science and engineering. There is truly something for everyone here.this reviewer feels that it is a very hard act to follow, and recommends it strongly. [This book] is a jewel."-Applied Mechanics Review

This expanded and enlarged second edition presents a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied applications. Building upon the successful material of the first book, this edition contains updated modern examples and applications from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics, acoustics, and wave propagation. Methods and properties of solutions, along with their physical significance, help to make the book more useful for a diverse readership.

Topics and Key Features: * Thorough coverage of derivation and methods of solutions for all fundamental nonlinear model equations which include Korteweg-de Vries, Boussinesq, Burgers, Fisher, nonlinear reaction-diffusion, Euler-Lagrange, nonlinear Kleine-Gordon, sine-Gordon, nonlinear Schrödinger, and Whitman equations * Systematic presentation and explanation of conservation laws, weak solutions, and shock waves * Solitions and the Inverse Scattering Transform * Special emphasis on nonlinear instability of dispersive waves with applications to water waves * Over 500 worked examples and end-of-chapter exercises with hints and answers to selected exercises

New features of the Second Edition include: * Improved presentations of results, methods of solutions and proofs * New section on Sturm-Liouville Systems and their fundamental properties * Revised examples, exercises, and updated applications * Several revised nonlinear real-world models that include traffic flow, flood waves, chromatographic models, sediment transport in rivers, glacier flow, and roll waves * Completely updated list of references

Nonlinear Partial Differential Equations for Scientists and Engineers is an exceptionally complete and accessible text/reference for graduate students, researchers, and professionals in mathematics, physics, and engineering. It can be used in graduate-level courses or as a self-study resource.


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