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Measure Theory: Measure Algebras v. 1, 2, 3, 4 by D.H. Fremlin

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Book Details :
  • Title : Measure Theory: Measure Algebras vol 1, 2, 3, 4
  • Author: D.H. Fremlin
  • Hardcover: 670 pages
  • Publisher: Torres Fremlin (May 31, 2002)
  • Language: English
  • ISBN-10: 0953812936
  • ISBN-13: 978-0953812936
  • Size : 3.9 MB (Vol.1&2) + 3.7 MB (Vol.3) + 5.2 MB (Vol.4)
  • Type : Pdf.
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  • Book Description :
Preface by D.H.Fremlin, University of Essex (Vol 3)
In this treatise I aim to give a comprehensive description of modern abstract measure theory, with some indication of its principal applications. My intention is that the book should be usable both as a first introduction to the subject and as a reference work. The first two volumes are set at an introductory level; they are intended for students with a solid grounding in the concepts of real analysis, but possibly with rather limited detailed knowledge. The plan of the work is as follows:
Volume 1: The Irreducible Minimum
Volume 2: Broad Foundations
Volume 3: Measure Algebras
Volume 4: Topological Measure Spaces.

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Partial Inner Product Spaces: Theory and Applications by Jean-Pierre Antoine (Author), Camillo Trapani

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Book Details :
  • Title : Partial Inner Product Spaces: Theory and Applications (Lecture Notes in Mathematics)
  • Author: Jean-Pierre Antoine, Camillo Trapani
  • Paperback: 358 pages
  • Publisher: Springer; 1 edition (January 1, 2010)
  • Language: English
  • ISBN-10: 3642051359
  • ISBN-13: 978-3642051357
  • Size : 3.0 MB.
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  • Book Description :
Partial Inner Product (PIP) Spaces are ubiquitous, e.g. Rigged Hilbert spaces, chains of Hilbert or Banach spaces (such as the Lebesgue spaces Lp over the real line), etc. In fact, most functional spaces used in (quantum) physics and in signal processing are of this type. The book contains a systematic analysis of PIP spaces and operators defined on them. Numerous examples are described in detail and a large bibliography is provided. Finally, the last chapters cover the many applications of PIP spaces in physics and in signal/image processing, respectively.
As such, the book will be useful both for researchers in mathematics and practitioners of these disciplines.


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Vector fields on Singular Varieties by Jean-Paul Brasselet, José Seade, Tatsuo Suwa

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Book Details :
  • Title : Vector fields on Singular Varieties (Lecture Notes in Mathematics)
  • Author: Jean-Paul Brasselet, José Seade, Tatsuo Suwa
  • Paperback: 225 pages
  • Publisher: Springer; 1 edition (December 17, 2009)
  • Language: English
  • ISBN-10: 3642052045
  • ISBN-13: 978-3642052040
  • Size : 1.9 MB.
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  • Book Description :
Vector fields on manifolds play a major role in mathematics and other sciences. In particular, the Poincaré-Hopf index theorem gives rise to the theory of Chern classes, key manifold-invariants in geometry and topology.
It is natural to ask what is the ‘good’ notion of the index of a vector field, and of Chern classes, if the underlying space becomes singular. The question has been explored by several authors resulting in various answers, starting with the pioneering work of M.-H. Schwartz and R. MacPherson.
We present these notions in the framework of the obstruction theory and the Chern-Weil theory. The interplay between these two methods is one of the main features of the monograph.


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Introduction to Complex Reflection Groups and Their Braid Groups by Michel Broué

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Book Details :
  • Title : Introduction to Complex Reflection Groups and Their Braid Groups (Lecture Notes in Mathematics)
  • Author: Michel Broué
  • Paperback: 132 pages
  • Publisher: Springer; 1 edition (March 1, 2010)
  • Language: English
  • ISBN-10: 3642111742
  • ISBN-13: 978-3642111747
  • Size : 1.1 MB.
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Weyl groups are particular cases of complex reflection groups, i.e. finite subgroups of GLr(C) generated by (pseudo)reflections. These are groups whose polynomial ring of invariants is a polynomial algebra.
It has recently been discovered that complex reflection groups play a key role in the theory of finite reductive groups, giving rise as they do to braid groups and generalized Hecke algebras which govern the representation theory of finite reductive groups. It is now also broadly agreed upon that many of the known properties of Weyl groups can be generalized to complex reflection groups. The purpose of this work is to present a fairly extensive treatment of many basic properties of complex reflection groups (characterization, Steinberg theorem, Gutkin-Opdam matrices, Solomon theorem and applications, etc.) including the basic findings of Springer theory on eigenspaces. In doing so, we also introduce basic definitions and properties of the associated braid groups, as well as a quick introduction to Bessis' lifting of Springer theory to braid groups.


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Ant Colony Optimization and Swarm Intelligence: 5th International Workshop, ANTS 2006, Brussels, Belgium, September 4-7, 2006, Proceedings by Marco Dorigo, Luca Maria Gambardella,...

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Book Details :
  • Title : Ant Colony Optimization and Swarm Intelligence: 5th International Workshop, ANTS 2006, Brussels, Belgium, September 4-7, 2006, Proceedings (Lecture Notes ... Computer Science and General Issues)
  • Editor: Marco Dorigo, Luca Maria Gambardella, Mauro Birattari, Alcherio Martinoli, Riccardo Poli, Thomas Stützle
  • Paperback: 526 pages
  • Publisher: Springer; 1 edition (October 5, 2006)
  • Language: English
  • ISBN-10: 3540384820
  • ISBN-13: 978-3540384823
  • Size : 20.7 MB.
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  • Book Description :
This book constitutes the refereed proceedings of the 5th International Workshop on Ant Colony Optimization and Swarm Intelligence, ANTS 2006, held in Brussels, Belgium, in September 2006.
The 27 revised full papers, 23 revised short papers, and 12 extended abstracts presented were carefully reviewed and selected from 115 submissions. The papers are devoted to theoretical and foundational aspects of ant algorithms, evolutionary optimization, ant colony optimization, and swarm intelligence and deal with a broad variety of optimization applications in networking, operations research, multiagent systems, robot systems, networking, etc.


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Philosophy And Fun Of Algebra by Boole Mary Everest

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Book Details :
  • Title : Philosophy And Fun Of Algebra
  • Author: Boole Mary Everest
  • Paperback: 161 - 176 pages
  • Publisher: Longman; 3rd edition (July 15, 1985) - World Scientific Publishing Company (September 1996)
  • Language: English
  • ISBN-10: 1406744700
  • ISBN-13: 978-1406744705
  • Size : 1.2 MB.
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Table of Contents: 1. From Arithmetic To Algebra2. The Making Of Algebras3. Simultaneous Problems4. Partial Solutions And The Provisional Elimination Of Elements Of Complexity5. Mathematical Certainty And Reductio Ad Absurdum6. The First Hebrew Algebra7. How To Choose Our Hypotheses8. The Limits Of The Teacher's Function9. The Use Of Sewing Cards10. The Story Of A Working Hypothesis11. Macbeth's Mistake12. Jacob's Ladder13. The Great X Of The World14. Go Out Of My Class-Room15. Philosophy And Fun Of Algebra16. Infinity17. From Bondage To Freedom Appendix *** a selection from: CHAPTER XIII THE GREAT X OF THE WORLD A great question which people like to quarrel about is: Who or What made things be as they are? As soon as people grew clever enough to think about anything except scrambling for food and taking care of their own babies, they began quarrelling about Who or What made things be. Nobody knew anything about it; and most people had a great deal to say about it. Moses saw that there was no hope of getting a country orderly while all this confusion was going on; so he said to the Hebrews," I must not allow all this confusion to go on among a people that I am made responsible for. None of us have ever seen the Maker of things. We can see the things growing, but not the force that makes them. That is our X; our Unknown. We are going to begin by stating that we don't know. We are going to call the Maker of things I Am, or 'That which is, whatever it is'; and we are going to make two hypotheses to start with. We are going to try thinking of I Am' as Unity; one, and not several or a fraction. We will also try thinking of I Am as No-Thing, we are not going to suppose at present that any particular kind of thing made the rest; we will suppose that I Am' is not a thing. When we find that any particular proceeding or behaviour destroys men, or makes them too sickly or weak or stupid or quarrelsome to manage other creatures and keep the upper hand of the world, we will say, for short, that I Am' does not like or does not intend the people of Israel to go on with that kind of proceeding or behaviour. "Now these two hypotheses are as much as we can deal with for the present. Anybody who wants to think out other hypotheses than those will have to think to himself, or go out of the country that I am to manage.


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Partial Differential Equations for Scientists and Engineers by Geoffrey Stephenson

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Book Details :
  • Title : Partial Differential Equations for Scientists and Engineers
  • Author: Geoffrey Stephenson
  • Paperback: 161 - 176 pages
  • Publisher: Longman; 3rd edition (July 15, 1985) - World Scientific Publishing Company (September 1996)
  • Language: English
  • ISBN-10: 0582446961 - 1860940242
  • ISBN-13: 978-0582446960 - 978-1860940248
  • Size : 3.6 MB.
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Partial differential equations form an essential part of the core mathematics syllabus for undergraduate scientists and engineers. The origins and applications of such equations occur in a variety of different fields, ranging from fluid dynamics, electromagnetism, heat conduction and diffusion, to quantum mechanics, wave propagation and general relativity.
This volume introduces the important methods used in the solution of partial differential equations. Written primarily for second-year and final-year students taking physics and engineering courses, it will also be of value to mathematicians studying mathematical methods as part of their course. The text, which assumes only that the reader has followed a good basic first-year ancillary mathematics course, is self-contained and is an unabridged republication of the third edition published by Longman in 1985


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Dr.Riemann's Zeros by Karl Sabbagh

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Book Details :
  • Title : Dr.Riemann's Zeros
  • Author: Karl Sabbagh
  • Paperback: 304 pages
  • Publisher: Atlantic Books (September 10, 2003)
  • Language: English
  • ISBN-10: 1843541017
  • ISBN-13: 978-1843541011
  • Size : 11.7 MB.
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In 1859 Bernhard Riemann, a shy German mathematician, wrote an eight-page article, suggesting an answer to a problem that had long puzzled mathematicians. For the next 150 years, the world's mathematicians have longed to confirm the Riemann hypothesis. So great is the interest in its solution that in 2001, an American foundation offered a million-dollar prize to the first person to demonstrate that the hypothesis is correct. Karl Sabbagh's book paints vivid portraits of the mathematicians who spend their days and nights on the race to solve the problem.


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Orthogonal Rational Functions by Adhemar Bultheel, Pablo Gonzalez-Vera, Erik Hendriksen, Olav Njastad

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Book Details :
  • Title : Orthogonal Rational Functions (Cambridge Monographs on Applied and Computational Mathematics)
  • Author: Adhemar Bultheel, Pablo Gonzalez-Vera, Erik Hendriksen, Olav Njastad
  • Hardcover: 424 pages
  • Publisher: Cambridge University Press (February 13, 1999)
  • Language: English
  • ISBN-10: 0521650062
  • ISBN-13: 978-0521650069
  • Size : 11.3 MB.
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  • Book Description :
This volume generalizes the classical theory of orthogonal polynomials on the complex unit circle or on the real line to orthogonal rational functions whose poles are among a prescribed set of complex numbers. The first part treats the case where these poles are all outside the unit disk or in the lower half plane. Classical topics such as recurrence relations, numerical quadrature, interpolation properties, Favard theorems, convergence, asymptotics, and moment problems are generalized and treated in detail. The same topics are discussed for a different situation where the poles are located on the unit circle or on the extended real line. In the last chapter, several applications are mentioned including linear prediction, Pisarenko modeling, lossless inverse scattering, and network synthesis. This theory has many applications both in theoretical real and complex analysis, approximation theory, numerical analysis, system theory, and electrical engineering.


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Encyclopedia of Statistics by Gerald Diaz

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Book Details :
  • Title : Encyclopedia of Statistics
  • Author: Gerald Diaz
  • Paperback: 143 pages
  • Publisher: Global Media (2007)
  • Language: English
  • ISBN-10: 8189940538
  • ISBN-13: N/A
  • Size : 1.5 MB.
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" Introduction " Subjects In Modern Statistics " What Do U Need To Know To Learn Statistics " Different Types Of Data " Methods Of Data Collection " Quartiles And Averages " Variance And Standard Deviation " How To Display Data " Probability " Testing Data " Basic Linear Algebra & Gram-Schmidt Orthogonalization " Unconstrained Optimization " Quantile Regression " Numerical Comparison Of Statistical Software " Numerics In Excel"


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Ocean Waves: The Stochastic Approach by Michel K. Ochi

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Book Details :
  • Title : Ocean Waves: The Stochastic Approach (Cambridge Ocean Technology Series)
  • Author: Michel K. Ochi
  • Paperback: 332 pages
  • Publisher: Cambridge University Press (January 12, 2008)
  • Language: English
  • ISBN-10: 052101767X
  • ISBN-13: 978-0521017671
  • Size : 1.6 MB.
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Waves observed in the ocean are extremely irregular and, from a physics standpoint, it seems impossible to describe this chaotic situation. Scientists can describe the situation by means of a stochastic approach. This book describes the stochastic method for ocean wave analysis. This method provides a route to predicting the characteristics of random ocean waves--information vital for the design and safe operation of ships and ocean structures. Assuming a basic knowledge of probability theory, the book begins with a chapter describing the essential elements of wind-generated random seas from the stochastic point of view. The following three chapters introduce spectral analysis techniques, probabilistic predictions of wave amplitudes, wave height and periodicity. A further four chapters discuss sea severity, extreme sea state, the directional wave energy spreading in random seas and special wave events such as wave breaking and group phenomena. Finally the stochastic properties of non-Gaussian waves are presented. Useful appendices and an extensive reference list are included. Examples of practical applications of the theories presented can be found throughout the text. This book will be suitable as a text for graduate students of naval, ocean and coastal engineering. It will also serve as a useful reference for research scientists and engineers working in this field.


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Schaum's Outline of Finite Element Analysis by George Buchanan

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Book Details :
  • Title : Schaum's Outline of Finite Element Analysis
  • Author: George Buchanan
  • Paperback: 264 pages
  • Publisher: McGraw-Hill; 1 edition (November 1, 1994)
  • Language: English
  • ISBN-10: 0070087148
  • ISBN-13: 978-0070087149
  • Size : 15.8 MB.
  • Type : Pdf.
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Master finite element analysis with Schaum's--the high-performance study guide. It will help you cut study time, hone problem-solving skills, and achieve your personal best on exams!
Students love Schaum's Outlines because they produce results. Each year, hundreds of thousands of students improve their test scores and final grades with these indispensible study guides. Get the edge on your classmates. Use Schaum's!
If you don't have a lot of time but want to excel in class, this book helps you:
* Brush up before tests
* Find answers fast
* Study quickly and more effectively
* Get the big picture without spending hours poring over lengthy textbooks
Schaum's Outlines give you the information your teachers expect you to know in a handy and succinct format--without overwhelming you with unnecessary details. You get a complete overview of the subject. Plus, you get plenty of practice exercises to test your skill. Compatible with any classroom text, Schaum's let you study at your own pace and reminds you of all the important facts you need to remember--fast! And Schaum's are so complete, they're perfect for preparing for graduate or professional exams.
Inside, you will find:
* 157 solved problems problems, including step-by-step solutions
* 134 additional practice problems, with answers supplied
* Clear explanations of finite element analysis
* An appendix covering computer code for coupled steady-state thermoelasticity
If you want top grades and thorough understanding of finite element analysis, this powerful study tool is the best tutor you can have!


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A History of Mathematics: An Introduction by Victor J. Katz

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Book Details :
  • Title : A History of Mathematics: An Introduction (2nd Edition)
  • Author: Victor J. Katz
  • Paperback: 880 pages
  • Publisher: Addison Wesley; 2 edition (March 6, 1998)
  • Language: English
  • ISBN-10: 0321016181
  • ISBN-13: 978-0321016188
  • Size : 76.9 MB.
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Provides a world view of mathematics, balancing ancient, early modern and modern history. Problems are taken from their original sources, enabling students to understand how mathematicians in various times and places solved mathematical problems. In this new edition a more global perspective is taken, integrating more non-Western coverage including contributions from Chinese/Indian, and Islamic mathematics and mathematicians. An additional chapter covers mathematical techniques from other cultures. *Up to date, uses the results of very recent scholarship in the history of mathematics. *Provides summaries of the arguments of all important ideas in the field.


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Effective Learning and Teaching in Mathematics and Its Applications by Peter Kahn, Joseph Kyle

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Book Details :
  • Title : Effective Learning and Teaching in Mathematics and Its Applications (Effective Learning and Teaching in Higher Education)
  • Editor: Peter Kahn, Joseph Kyle
  • Paperback: 240 pages
  • Publisher: Routledge (April 1, 2002)
  • Language: English
  • ISBN-10: 0749435690
  • ISBN-13: 978-0749435691
  • Size : 2.0 MB.
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This book covers all of the key issues the effective teaching of Mathematics, a key subject in its own right, and also one that forms a key part of many other disciplines. The book includes contributions from a wide range of experts in the field, with a broad and international perspective.


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Singularities of Plane Curves by Eduardo Casas-Alvero

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Book Details :
  • Title : Singularities of Plane Curves (London Mathematical Society Lecture Note Series)
  • Author: Eduardo Casas-Alvero
  • Paperback: 364 pages
  • Publisher: Cambridge University Press; 1 edition (September 11, 2000)
  • Language: English
  • ISBN-10: 0521789591
  • ISBN-13: 978-0521789592
  • Size : 2.2 MB.
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This comprehensive and self-contained exposition of the algebro-geometric theory of singularities of plane curves covers both the classical and modern aspects of the field. It gives a unified treatment with complete proofs and presents modern results which have only appeared in research papers. It updates and correctly proves a number of important classical results for which there was formerly no suitable reference. With new, previously unpublished results as well as applications to algebra and algebraic geometry, this book will be useful as a reference text for researchers in the field. It is also suitable as a textbook for postgraduate courses on singularities.


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Spectral Theory and Geometry by E. Brian Davies, Yuri Safarov

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Book Details :
  • Title : Spectral Theory and Geometry (London Mathematical Society Lecture Note Series)
  • Editor: E. Brian Davies, Yuri Safarov
  • Paperback: 344 pages
  • Publisher: Cambridge University Press (November 28, 1999)
  • Language: English
  • ISBN-10: 0521777496
  • ISBN-13: 978-0521777490
  • Size : 1.9 MB.
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This volume brings together lectures from a conference on spectral theory and geometry held under the auspices of the International Centre for Mathematical Sciences in Edinburgh. The contributions by world experts include expanded versions of many of the original lectures. Together, they survey the core material and go beyond to reach deeper results. For graduate students and experts alike, this book will be a highly useful resource.


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Geometry, Combinatorial Designs and Related Structures by J. W. P. Hirschfeld, S. S. Magliveras , M. J. de Resmini

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Book Details :
  • Title : Geometry, Combinatorial Designs and Related Structures (London Mathematical Society Lecture Note Series)
  • Editor: J. W. P. Hirschfeld, S. S. Magliveras , M. J. de Resmini
  • Paperback: 268 pages
  • Publisher: Cambridge University Press (September 28, 1997)
  • Language: English
  • ISBN-10: 052159538X
  • ISBN-13: 978-0521595384
  • Size : 1.4 MB.
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  • Book Description :
This volume presents up-to-date research on finite geometries and designs, a key area in modern applicable mathematics. An introductory chapter discusses topics presented in each of the main chapters and is followed by articles from leading international figures in this field. These include a discussion of the current state of finite geometry from a group-theoretical viewpoint, and surveys of difference sets and of small embeddings of partial cycle systems into Steiner triple systems. Also presented are successful searches for spreads and packing of designs, rank three geometries with simplicial residues and generalized quadrangles satisfying Veblen's Axiom. In addition, there are articles on new 7-designs, biplanes, various aspects of triple systems, and many other topics. This book will be a useful reference for researchers working in finite geometries, design theory or combinatorics in general.


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Oeuvres Scientifiques / Collected Papers: Volume 2 (1951-1964) by André Weil

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Book Details :
  • Title : Oeuvres Scientifiques / Collected Papers: Volume 2 (1951-1964)
  • Author: André Weil
  • Paperback: 564 pages
  • Publisher: Springer; 1st ed. 1979. 2nd printing edition (March 16, 2009).
  • Language: English
  • ISBN-10: 3540877355
  • ISBN-13: 978-3540877356
  • Size : 10.0 MB.
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From the reviews:
"…All of Weil’s works except for books and lecture notes are compiled here, in strict chronological order for easy reference.
But the value … goes beyond the convenience of easy reference and accessibility. In the first place, these volumes contain several essays, letters, and addresses which were either published in obscure places (…) or not published at all.
Even more valuable are the lengthy commentaries on many of the articles, written by Weil himself. These remarks serve as a guide, helping the reader place the papers in their proper context. Moreover, we have the rare opportunity of seeing a great mathematician in his later life reflecting on the development of his ideas and those of his contemporaries at various stages of his career.
The sheer number of mathematical papers of fundamental significance would earn Weil’s Collected Papers a place in the library of a mathematician with an interest in number theory, algebraic geometry, representations theory, or related areas. The additional import of the mathematical history and culture in these volumes makes them even more essential."
Neal Koblitz in Mathematical Reviews
"…André Weil’s mathematical work has deeply influenced the mathematics of the twentieth century and the monumental (...) "Collected papers" emphasize this influence."
O. Fomenko in Zentralblatt der Mathematik


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Algebra by Israel M. Gelfand, Alexander Shen

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Book Details :
  • Title : Algebra
  • Author: Israel M. Gelfand, Alexander Shen
  • Paperback: 150 pages
  • Publisher: Birkhäuser Boston (July 9, 2003).
  • Language: English
  • ISBN-10: 0817636773
  • ISBN-13: 978-0817636777
  • Size : 30.9 MB.
  • Type : PDF.
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  • Book Description :
The need for improved mathematics education at the high school and college levels has never been more apparent than in the 1990's. As early as the 1960's, I.M. Gelfand and his colleagues in the USSR thought hard about this same question and developed a style for presenting basic mathematics in a clear and simple form that engaged the curiosity and intellectual interest of thousands of high school and college students. These same ideas, this development, are available in the following books to any student who is willing to read, to be stimulated, and to learn.
"Algebra" is an elementary algebra text from one of the leading mathematicians of the world -- a major contribution to the teaching of the very first high school level course in a centuries old topic -- refreshed by the author's inimitable pedagogical style and deep understanding of mathematics and how it is taught and learned.
This text has been adopted at: Holyoke Community College, Holyoke, MA * University of Illinois in Chicago, Chicago, IL * University of Chicago, Chicago, IL * California State University, Hayward, CA * Georgia Southwestern College, Americus, GA * Carey College, Hattiesburg, MS.


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Emperor's New Mind by Roger Penrose

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Book Details :
  • Title : Emperor's New Mind
  • Author: Roger Penrose
  • Paperback: 480 pages
  • Publisher: Random House UK; First Thus edition (February 27, 1994).
  • Language: English
  • ISBN-10: 0099771705
  • ISBN-13: 978-0099771708
  • Size : 4.9 MB.
  • Type : PDF.
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  • Book Description :
The proponents of artificial intelligence want to prove that it is only a matter of time before computers will be doing everything that a human mind can do. They take it for granted that pleasure and pain, the appreciation of beauty and humour, consciousness and free will are capacities that a computer will display once the appropriate programs of algorithms have been developed. Some disagree, because although electronic computers can calculate very rapidly, that does not make them understand what they are doing any more than, for example, an abacus does. The author puts forward his view that there is some facet of human thinking that can never be emulated by a machine. He shows the physical and mathematical ideas that are the background to his argument - from Turing machines, algorithms and the Chinese room, via quantum mechanics, cosmology and relativity to the structure of the brain, inspiration and consciousness itself.


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Master Math: Trigonometry (Master Math Series) by Debra Anne Ross

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Book Details :
  • Title : Master Math: Trigonometry (Master Math Series) .
  • Author: Debra Anne Ross
  • Paperback: 192 pages
  • Publisher: Delmar Cengage Learning; 1 edition (July 1, 2002).
  • Language: English
  • ISBN-10: 1564145271
  • ISBN-13: 978-1564145277
  • Size : 16.6 MB.
  • Type : PDF.
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Master Math: Trigonometry is written for students, teachers, tutors, and parents, as well as for scientists and engineers who need to look up principles, definitions, explanations of concepts, and examples pertaining to the field of trigonometry. Trigonometry is a visual and application-oriented field of mathematics that was developed by early astronomers and scientists to understand, model, measure, and navigate the physical world around them.


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Euclid's Window : The Story of Geometry from Parallel Lines to Hyperspace by Leonard Mlodinow

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Book Details :
  • Title : Euclid's Window : The Story of Geometry from Parallel Lines to Hyperspace .
  • Author: Leonard Mlodinow
  • Audio CD
  • Publisher: Free Press (April 9, 2002).
  • Language: English
  • ISBN-10: 0684865246
  • ISBN-13: 978-0684865249
  • Size : 162.2 MB.
  • Type : MP3.
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Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology.
Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, Euclid's Window is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through Euclid's Window, no space, no thing, and no time will ever be quite the same.


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Orthonormal Systems and Banach Space Geometry by Albrecht Pietsch, Jörg Wenzel

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Book Details :
  • Title : Orthonormal Systems and Banach Space Geometry (Encyclopedia of Mathematics and its Applications)
  • Author: Albrecht Pietsch, Jörg Wenzel
  • Hardcover: 564 pages
  • Publisher: Cambridge University Press (September 28, 1998)
  • Language: English
  • ISBN-10: 0521624622
  • ISBN-13: 978-0521624626
  • Size : 2.0 MB.
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Orthonormal Systems and Banach Space Geometry describes the interplay between orthonormal expansions and Banach space geometry. Using harmonic analysis as a starting platform, classical inequalities and special functions are used to study orthonormal systems leading to an understanding of the advantages of systems consisting of characters on compact Abelian groups. Probabilistic concepts such as random variables and martingales are employed and Ramsey's theorem is used to study the theory of super-reflexivity. The text yields a detailed insight into concepts including type and co-type of Banach spaces, B-convexity, super-reflexivity, the vector-valued Fourier transform, the vector-valued Hilbert transform and the unconditionality property for martingale differences (UMD). A long list of unsolved problems is included as a starting point for research. This book should be accessible to graduate students and researchers with some basic knowledge of Banach space theory, real analysis, probability and algebra.


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Unifying Scientific Theories: Physical Concepts and Mathematical Structures by Margaret Morrison

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Book Details :
  • Title : Unifying Scientific Theories: Physical Concepts and Mathematical Structures.
  • Author: Margaret Morrison
  • Paperback: 284 pages
  • Publisher: Cambridge University Press; 1 edition (July 12, 2007)
  • Language: English
  • ISBN-10: 0521037603
  • ISBN-13: 978-0521037600
  • Size : 1.6 MB.
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This book is about the methods used for unifying different scientific theories under one all-embracing theory. The process has characterized much of the history of science and is prominent in contemporary physics; the search for a "theory of everything" involves the same attempt at unification. Margaret Morrison argues that, contrary to popular philosophical views, unification and explanation often have little to do with each other. The mechanisms that facilitate unification are not those that enable us to explain how or why phenomena behave as they do. The book emphasizes the importance of mathematical structures in unification, and claims that despite this common feature theory unification is a multi-faceted process for which no general account can be offered.


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Advanced Calculus by Wilfred Kaplan

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Book Details :
  • Title : Advanced Calculus (4th Edition).
  • Author: Wilfred Kaplan
  • Hardcover: 746 pages
  • Publisher: Addison Wesley Publishing Company; 4 Sub edition (September 12, 1991)
  • Language: English
  • ISBN-10: 0201578883
  • ISBN-13: 978-0201578881
  • Size : 13.5 MB.
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This fourth edition offers a comprehensive overview of advanced calculus in a highly readable format. The book offers substantial coverage of vector and matrices, vector analysis, and partial differential equations. Vectors are introduced at the outset and serve at many points to indicate geometric and physical significance of mathematical relations. Numerical methods are touched on at various points because of their practical value and the insights they give about theory.


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Monte Carlo Simulation and Finance by Don L. McLeish

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Book Details :
  • Title : Monte Carlo Simulation and Finance.
  • Author: Don L. McLeish
  • Hardcover: 387 pages
  • Publisher: Wiley; 1 edition (April 1, 2005)
  • Language: English
  • ISBN-10: 0471677787
  • ISBN-13: 978-0471677789
  • Size : 2.9 MB.
  • Type : Pdf.
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  • Book Description :
Monte Carlo methods have been used for decades in physics, engineering, statistics, and other fields. Monte Carlo Simulation and Finance explains the nuts and bolts of this essential technique used to value derivatives and other securities. Author and educator Don McLeish examines this fundamental process, and discusses important issues, including specialized problems in finance that Monte Carlo and Quasi-Monte Carlo methods can help solve and the different ways Monte Carlo methods can be improved upon.
This state-of-the-art book on Monte Carlo simulation methods is ideal for finance professionals and students. Order your copy today.


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Error Calculus for Finance and Physics: The Language of Dirichlet Forms by Nicolas Bouleau

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Book Details :
  • Title : Error Calculus for Finance and Physics: The Language of Dirichlet Forms (De Gruyter Expositions in Mathematics, 37).
  • Author: Nicolas Bouleau
  • Hardcover: 234 pages
  • Publisher: Walter de Gruyter (December 1, 2003).
  • Language: English
  • ISBN-10: 3110180367
  • ISBN-13: 978-3110180367
  • Size : 1.1 MB.
  • Type : Pdf.
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Many recent advances in modelling within the applied sciences and engineering have focused on the increasing importance of sensitivity analyses. For a given physical, financial or environmental model, increased emphasis is now placed on assessing the consequences of changes in model outputs that result from small changes or errors in both the hypotheses and parameters. The approach proposed in this book is entirely new and features two main characteristics. Even when extremely small, errors possess biases and variances. The methods presented here are able, thanks to a specific differential calculus, to provide information about the correlation between errors in different parameters of the model, as well as information about the biases introduced by non-linearity. The approach makes use of very powerful mathematical tools (Dirichlet forms), which allow one to deal with errors in infinite dimensional spaces, such as spaces of functions or stochastic processes. The method is therefore applicable to non-elementary models along the lines of those encountered in modern physics and finance. This text has been drawn from presentations of research done over the past ten years and that is still ongoing. The work was presented in conjunction with a course taught jointly at the Universities of Paris 1 and Paris 6. The book is intended for students, researchers and engineers with good knowledge in probability theory.


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The Hancocks of Marlborough: Rubber, Art and the Industrial Revolution - A Family of Inventive Genius by John Loadman, Francis James

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Book Details :
  • Title : The Hancocks of Marlborough: Rubber, Art and the Industrial Revolution - A Family of Inventive Genius .
  • Author: John Loadman, Francis James
  • Hardcover: 320 pages
  • Publisher: Oxford University Press, USA (November 23, 2009).
  • Language: English
  • ISBN-10: 0199573557
  • ISBN-13: 978-0199573554
  • Size : 7.0 MB.
  • Type : Pdf.
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This book began with the aim of telling the almost forgotten story of Thomas Hancock, the rubber developer who in his own day was acknowledged as one of the great scientific pioneers of the Industrial Revolution. But as research progressed, it was clear that Thomas and his five brothers, the Hancocks of Marlborough, together constituted a unique family which made a tremendous yet virtually unknown contribution to nineteenth-century science and art. Walter designed and ran the first steam carriages to carry passengers on the common roads of England and so began the age of mechanized transport. Thomas founded the UK rubber industry when he discovered how to vulcanize rubber reliably; his company survived for some 120 years before being taken over. Charles was a well established painter who was also instrumental in the manufacture of gutta percha-coated undersea cables, used by the electric telegraph to begin the global information highway. Other brothers, John, James and William all made significant contributions to the development of Victorian science and culture. This book tells the story of the family and the remarkable people in it, from the Great Fire of Marlborough in 1653 to the present day, using the Hancock family archive of many unpublished and previously unknown documents.


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Low Rank Representations and Graphs for Sporadic Groups by Cheryl E. Praeger, Leonard H. Soicher

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Book Details :
  • Title : Low Rank Representations and Graphs for Sporadic Groups (Australian Mathematical Society Lecture Series) .
  • Author: Cheryl E. Praeger, Leonard H. Soicher
  • Paperback: 156 pages
  • Publisher: Cambridge University Press (January 28, 1997).
  • Language: English
  • ISBN-10: 0521567378
  • ISBN-13: 978-0521567374
  • Size : 5.0 MB.
  • Type : Pdf + Djvu.
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This book addresses certain ways of representing sporadic simple groups and the graphs associated with these representations. It provides descriptions of all permutation representations of rank up to five of the sporadic groups and gives an introduction to practical computational techniques required for studying finite vertex-transitive graphs. The authors offer sufficient information about most of the groups to enable readers to reconstruct and study these representations themselves. Elementary techniques for analysis of finite vertex-transitive graphs are carefully explained, making this book not only an essential reference for experts, but also an excellent starting point for graduate students and researchers in this area.


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Statics and Kinematics with Applications to Robotics by Joseph Duffy

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Book Details :
  • Title : Statics and Kinematics with Applications to Robotics .
  • Author: Joseph Duffy
  • Hardcover: 224 pages
  • Publisher: Cambridge University Press (May 31, 1996).
  • Language: English
  • ISBN-10: 0521482135
  • ISBN-13: 978-0521482134
  • Size : 4.0 MB.
  • Type : Pdf + Djvu.
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  • Book Description :
Robotic manipulators are becoming increasingly important in research and industry, and an understanding of statics and kinematics is essential to solving problems in this field. This book, written by an eminent researcher and practitioner, provides a thorough introduction to statics and first order instantaneous kinematics with applications to robotics. The emphasis is on serial and parallel planar manipulators and mechanisms. The text differs from others in that it is based solely on the concepts of classical geometry. It is the first to describe how to introduce linear springs into the connectors of parallel manipulators and to provide a proper geometric method for controlling the force and motion of a rigid lamina. Both students and practicing engineers will find this book easy to follow, with its clear text, abundant illustrations, exercises, and real-world projects.


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Ubiquitous Quantum Structure: From Psychology to Finance by Andrei Y. Khrennikov

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Book Details :
  • Title : Ubiquitous Quantum Structure: From Psychology to Finance .
  • Author: Andrei Y. Khrennikov
  • Hardcover: 210 pages
  • Publisher: Springer; 1 edition (February 1, 2010).
  • Language: English
  • ISBN-10: 3642051006
  • ISBN-13: 978-3642051005
  • Size : 1.8 MB.
  • Type : Pdf.
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Quantum-like structure is present practically everywhere. Quantum-like (QL) models, i.e. models based on the mathematical formalism of quantum mechanics and its generalizations can be successfully applied to cognitive science, psychology, genetics, economics, finances, and game theory.
This book is not about quantum mechanics as a physical theory. The short review of quantum postulates is therefore mainly of historical value: quantum mechanics is just the first example of the successful application of non-Kolmogorov probabilities, the first step towards a contextual probabilistic description of natural, biological, psychological, social, economical or financial phenomena. A general contextual probabilistic model (Växjö model) is presented. It can be used for describing probabilities in both quantum and classical (statistical) mechanics as well as in the above mentioned phenomena. This model can be represented in a quantum-like way, namely, in complex and more general Hilbert spaces. In this way quantum probability is totally demystified: Born's representation of quantum probabilities by complex probability amplitudes, wave functions, is simply a special representation of this type.


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Mathematical Models for Elastic Structures by Piero Villaggio

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Book Details :
  • Title : Mathematical Models for Elastic Structures.
  • Author: Piero Villaggio
  • Hardcover: 693 pages
  • Publisher: Cambridge University Press (October 28, 1997).
  • Language: English
  • ISBN-10: 0521573246
  • ISBN-13: 978-0521573245
  • Size : 3.2 MB.
  • Type : Djvu.
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During the seventeenth century, several useful theories of elastic structures emerged, with applications to civil and mechanical engineering problems. Recent and improved mathematical tools have extended applications into new areas such as mathematical physics, geomechanics, and biomechanics. This book offers a critically filtered collection of the most significant theories dealing with elastic slender bodies. It includes mathematical models involving elastic structures that are used to solve practical problems with particular emphasis on nonlinear problems.


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Assessing Children's Mathematical Knowledge: Social Class, Sex, and Problem-Solving by Barry Cooper, Mairead Dunne

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Book Details :
  • Title : Assessing Children's Mathematical Knowledge: Social Class, Sex, and Problem-Solving .
  • Author: Barry Cooper, Mairead Dunne
  • Paperback: 215 pages
  • Publisher: Open University Press; 1 edition (March 2000).
  • Language: English
  • ISBN-10: 0335203167
  • ISBN-13: 978-0335203161
  • Size : 2.1 MB.
  • Type : Pdf.
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In many countries, the lives of teachers and children are increasingly dominated by programmes of national testing of mathematics and other subjects. In England, the majority of the items in such tests have set mathematical tasks in every day situations such as 'shopping'. This book draws on the analysis of national curriculum test data in order to explore the nature of the difficulties children experience with 'realistic' items. The book shows, by comparing test and interview data, that many children, as a consequence of their confusion over the requirements of 'realistic' test items, fail in tests to demonstrate mathematical knowledge and understanding that they actually possess.


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Groups as Galois Groups: An Introduction by Helmut Volklein

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Book Details :
  • Title : Groups as Galois Groups: An Introduction (Cambridge Studies in Advanced Mathematics).
  • Author: Helmut Volklein
  • Paperback: 268 pages
  • Publisher: Cambridge University Press; 1 edition (June 12, 2008).
  • Language: English
  • ISBN-10: 0521065038
  • ISBN-13: 978-0521065030
  • Size : 1.2 MB.
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This book describes various approaches to the Inverse Galois Problem, a classical unsolved problem of mathematics posed by Hilbert at the beginning of the century. It brings together ideas from group theory, algebraic geometry and number theory, topology, and analysis. Assuming only elementary algebra and complex analysis, the author develops the necessary background from topology, Riemann surface theory and number theory. The first part of the book is quite elementary, and leads up to the basic rigidity criteria for the realization of groups as Galois groups. The second part presents more advanced topics, such as braid group action and moduli spaces for covers of the Riemann sphere, GAR- and GAL- realizations, and patching over complete valued fields. Graduate students and mathematicians from other areas (especially group theory) will find this an excellent introduction to a fascinating field.


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Decision-Making in Committees: Game-Theoretic Analysis by Nicola Friederike Maaser

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Book Details :
  • Title : Decision-Making in Committees: Game-Theoretic Analysis (Lecture Notes in Economics and Mathematical Systems) .
  • Author: Nicola Friederike Maaser
  • Paperback: 126 pages
  • Publisher: Springer; 1 edition (February 1, 2010).
  • Language: English
  • ISBN-10: 3642041523
  • ISBN-13: 978-3642041525
  • Size : 2.6 MB.
  • Type : PDF.
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Political and economic institutions are typically governed by committees that face the challenge to reconcile the preferences of their members. How should decision rules be designed to generate fair and sustainable agreements, for example if committee members represent groups of different sizes? This book uses game-theoretic concepts and models to address the issue of political decision-making processes. In addition to providing a survey on basic game-theoretic tools in the analysis of political decisions, the author looks at specific issues such as two-tiered voting systems or the influence of lobbyists on legislative committees, and shows how the models can be applied to real-world contexts such as the EU decision-making institutions.


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R Through Excel: A Spreadsheet Interface for Statistics, Data Analysis, and Graphics by Richard M. Heiberger, Erich Neuwirth

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Book Details :
  • Title : R Through Excel: A Spreadsheet Interface for Statistics, Data Analysis, and Graphics (Use R) .
  • Author: Richard M. Heiberger, Erich Neuwirth
  • Paperback: 343 pages
  • Publisher: Springer; 1 edition (August 5, 2009).
  • Language: English
  • ISBN-10: 1441900519
  • ISBN-13: 978-1441900517
  • Size : 17.0 MB.
  • Type : PDF.
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  • Book Description :
R, a free and open source program, is one of the most powerful and the fastest-growing statistics program. Microsoft Excel is the most widely used spreadsheet program, but many statisticians consider its statistical tools too limited.
In this book, the authors build on RExcel, a free add-in for Excel that can be downloaded from the R distribution network. RExcel seamlessly integrates the entire set of R's statistical and graphical methods into Excel, allowing students to focus on statistical methods and concepts and minimizing the distraction of learning a new programming language.
Data can be transferred between R and Excel “the Excel way” by selecting worksheet ranges and using Excel menus. R’s basic statistical functions and selected advanced methods are available from an Excel menu. Results of the computations and statistical graphics can be returned back into Excel worksheet ranges. RExcel allows the use of Excel scroll bars and check boxes to create and animate R graphics as an interactive analysis tool.
The book is designed as a computational supplement to introductory statistics texts and the authors provide RExcel examples covering the topics of the introductory course.


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Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences by A. M. Mathai, R. K. Saxena

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Book Details :
  • Title : Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences (Lecture Notes in Mathematics).
  • Author: A. M. Mathai, R. K. Saxena
  • Paperback: 324 pages
  • Publisher: Springer; 1 edition (November 20, 1973).
  • Language: English
  • ISBN-10: 3540064826
  • ISBN-13: 978-3540064824
  • Size : 7.8 MB.
  • Type : PDF.
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No Description.


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Multiscaling in Molecular and Continuum Mechanics: Interaction of Time and Size from Macro to Nano by G.C. Sih

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Book Details :
  • Title : Multiscaling in Molecular and Continuum Mechanics: Interaction of Time and Size from Macro to Nano
  • Author: G.C. Sih
  • Hardcover: 478 pages
  • Publisher: Springer; 1 edition (October 11, 2006)
  • Language: English
  • ISBN-10: 1402050615
  • ISBN-13: 978-1402050619
  • Size : 29.8 MB.
  • Type : PDF.
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  • Book Description :
The recent trend of miniaturization of devices and mechanics components has demanded a btter understanding of how macroscopic data are related to those at the microscopic scale or smaller.
The concept of multiscaling is to handle inhomogeneity that rises when material is viewed microscopically. A scale invariant concept that can quantify the degree of inhomgeneity is applied to overcome the diffuculty such that the methodology can be kept at a level that the practicing engineer can grasp and use. The model works much like a microscope that can magnify the results from the atomic to the micro, then to the meso and to the macro in an analytical fahsion. This provides a means for translating the experience in designing macroscopic size components to those at the lower scales.


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Introduction to Applied Mathematics for Environmental Science by David F. Parkhurst

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Book Details :
  • Title : Introduction to Applied Mathematics for Environmental Science
  • Author: David F. Parkhurst
  • Hardcover: 317 pages
  • Publisher: Springer; 1 edition (June 28, 2006)
  • Language: English
  • ISBN-10: 0387342273
  • ISBN-13: 978-0387342276
  • Size : 10.9 MB.
  • Type : PDF.
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This book teaches mathematical structures and how they can be applied in environmental science. Each chapter presents story problems with an emphasis on derivation. Linear and non-linear algebraic equations, derivatives and integrals, ordinary differential equations, and partial differential equations are the basic kinds of structures, or mathematical models, that are discussed. For each of these, the discussion follows the pattern of first presenting an example of a type of structure as applied to environmental science. Next the definition of the structure is presented. This is usually followed by other examples of how the structure arises in environmental science, then the analytic methods of solving and learning from the structure are discussed. This is followed by teaching numerical methods for use when the situation is difficult. In most cases, examples of using Matlab software to solve and explore the structures are also included.


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Series Approximation Methods in Statistics by John E. Kolassa

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Book Details :
  • Title : Series Approximation Methods in Statistics (Lecture Notes in Statistics)
  • Author: John E. Kolassa
  • Paperback: 222 pages
  • Publisher: Springer; 3rd edition (April 28, 2006)
  • Language: English
  • ISBN-10: 0387314091
  • ISBN-13: 978-0387314099
  • Size : 2.0 MB.
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This book presents theoretical results relevant to Edgeworth and saddlepoint expansions to densities and distribution functions. It provides examples of their application in some simple and a few complicated settings, along with numerical, as well as asymptotic assessments of their accuracy. Variants on these expansions, including much of modern likelihood theory, are discussed and applications to lattice distributions are extensively treated. This book is intended primarily for advanced graduate students and researchers in the field needing a collection of core results in a uniform notation, with bibliographical references to further examples and applications. It assumes familiarity with real analysis, vector calculus, and complex analysis. This third edition features an expansion of the material on the Blackwell approximation and an expansion of the discussions on saddlepoint approximation.


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