Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download Mathematics Of Choice full books in PDF, epub, and Kindle. Read online Mathematics Of Choice ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author : Ivan Niven
Publisher : MAA
ISBN 13 : 0883856158
Total Pages : 215 pages
Book Rating : 4.8/5 (838 download)
Download or read book Mathematics of Choice written by Ivan Niven and published by MAA. This book was released on 1965 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Christoph Borgers
Publisher : SIAM
ISBN 13 : 0898717620
Total Pages : 233 pages
Book Rating : 4.8/5 (987 download)
Download or read book Mathematics of Social Choice written by Christoph Borgers and published by SIAM. This book was released on 2010-01-01 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Social Choice is a fun and accessible book that looks at the choices made by groups of people with different preferences, needs, and interests. Divided into three parts, the text first examines voting methods for selecting or ranking candidates. A brief second part addresses compensation problems wherein an indivisible item must be assigned to one of several people who are equally entitled to ownership of the item, with monetary compensation paid to the others. The third part discusses the problem of sharing a divisible resource among several people. Mathematics of Social Choice can be used by undergraduates studying mathematics and students whose only mathematical background is elementary algebra. More advanced material can be skipped without any loss of continuity. The book can also serve as an easy introduction to topics such as the Gibbard-Satterthwaite theorem, Arrow's theorem, and fair division for readers with more mathematical background.
Author : Alan D. Taylor
Publisher : Cambridge University Press
ISBN 13 : 9780521008839
Total Pages : 196 pages
Book Rating : 4.0/5 (88 download)
Download or read book Social Choice and the Mathematics of Manipulation written by Alan D. Taylor and published by Cambridge University Press. This book was released on 2005-05-09 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Honesty in voting, it turns out, is not always the best policy. Indeed, in the early 1970s, Allan Gibbard and Mark Satterthwaite, building on the seminal work of Nobel laureate Kenneth Arrow, proved that with three or more alternatives there is no reasonable voting system that is non-manipulable; voters will always have an opportunity to benefit by submitting a disingenuous ballot. The ensuing decades produced a number of theorems of striking mathematical naturality that dealt with the manipulability of voting systems. This book presents many of these results from the last quarter of the twentieth century, especially the contributions of economists and philosophers, from a mathematical point of view, with many new proofs. The presentation is almost completely self-contained, and requires no prerequisites except a willingness to follow rigorous mathematical arguments. Mathematics students, as well as mathematicians, political scientists, economists and philosophers will learn why it is impossible to devise a completely unmanipulable voting system.
Author : Horst Herrlich
Publisher : Springer
ISBN 13 : 3540342680
Total Pages : 198 pages
Book Rating : 4.5/5 (43 download)
Download or read book Axiom of Choice written by Horst Herrlich and published by Springer. This book was released on 2006-07-21 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: AC, the axiom of choice, because of its non-constructive character, is the most controversial mathematical axiom. It is shunned by some, used indiscriminately by others. This treatise shows paradigmatically that disasters happen without AC and they happen with AC. Illuminating examples are drawn from diverse areas of mathematics, particularly from general topology, but also from algebra, order theory, elementary analysis, measure theory, game theory, and graph theory.
Author : Thomas J. Jech
Publisher : Courier Corporation
ISBN 13 : 0486466248
Total Pages : 226 pages
Book Rating : 4.4/5 (864 download)
Download or read book The Axiom of Choice written by Thomas J. Jech and published by Courier Corporation. This book was released on 2008-01-01 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive and self-contained text examines the axiom's relative strengths and consequences, including its consistency and independence, relation to permutation models, and examples and counterexamples of its use. 1973 edition.
Author : G.H. Moore
Publisher : Springer Science & Business Media
ISBN 13 : 1461394783
Total Pages : 425 pages
Book Rating : 4.4/5 (613 download)
Download or read book Zermelo’s Axiom of Choice written by G.H. Moore and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of my interest in what is common to three disciplines: mathematics, philosophy, and history. The origins of Zermelo's Axiom of Choice, as well as the controversy that it engendered, certainly lie in that intersection. Since the time of Aristotle, mathematics has been concerned alternately with its assumptions and with the objects, such as number and space, about which those assumptions were made. In the historical context of Zermelo's Axiom, I have explored both the vagaries and the fertility of this alternating concern. Though Zermelo's research has provided the focus for this book, much of it is devoted to the problems from which his work originated and to the later developments which, directly or indirectly, he inspired. A few remarks about format are in order. In this book a publication is indicated by a date after a name; so Hilbert 1926, 178 refers to page 178 of an article written by Hilbert, published in 1926, and listed in the bibliography.
Author : George Szpiro
Publisher : Princeton University Press
ISBN 13 : 0691209081
Total Pages : 240 pages
Book Rating : 4.6/5 (912 download)
Download or read book Numbers Rule written by George Szpiro and published by Princeton University Press. This book was released on 2020-11-03 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author takes the general reader on a tour of the mathematical puzzles and paradoxes inherent in voting systems, such as the Alabama Paradox, in which an increase in the number of seats in the Congress could actually lead to a reduced number of representatives for a state, and the Condorcet Paradox, which demonstrates that the winner of elections featuring more than two candidates does not necessarily reflect majority preferences. Szpiro takes a roughly chronological approach to the topic, traveling from ancient Greece to the present and, in addition to offering explanations of the various mathematical conundrums of elections and voting, also offers biographical details on the mathematicians and other thinkers who thought about them, including Plato, Pliny the Younger, Pierre Simon Laplace, Thomas Jefferson, John von Neumann, and Kenneth Arrow.
Author : Diana Davis
Publisher : American Mathematical Soc.
ISBN 13 : 1470461226
Total Pages : 171 pages
Book Rating : 4.4/5 (74 download)
Download or read book Illustrating Mathematics written by Diana Davis and published by American Mathematical Soc.. This book was released on 2020-10-16 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for anyone who wishes to illustrate their mathematical ideas, which in our experience means everyone. It is organized by material, rather than by subject area, and purposefully emphasizes the process of creating things, including discussions of failures that occurred along the way. As a result, the reader can learn from the experiences of those who came before, and will be inspired to create their own illustrations. Topics illustrated within include prime numbers, fractals, the Klein bottle, Borromean rings, tilings, space-filling curves, knot theory, billiards, complex dynamics, algebraic surfaces, groups and prime ideals, the Riemann zeta function, quadratic fields, hyperbolic space, and hyperbolic 3-manifolds. Everyone who opens this book should find a type of mathematics with which they identify. Each contributor explains the mathematics behind their illustration at an accessible level, so that all readers can appreciate the beauty of both the object itself and the mathematics behind it.
Author : Graham Flegg
Publisher : Courier Corporation
ISBN 13 : 0486166511
Total Pages : 304 pages
Book Rating : 4.4/5 (861 download)
Download or read book Numbers written by Graham Flegg and published by Courier Corporation. This book was released on 2013-05-13 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Readable, jargon-free book examines the earliest endeavors to count and record numbers, initial attempts to solve problems by using equations, and origins of infinite cardinal arithmetic. "Surprisingly exciting." — Choice.
Author : Miklos Bona
Publisher : CRC Press
ISBN 13 : 1439850526
Total Pages : 478 pages
Book Rating : 4.4/5 (398 download)
Download or read book Combinatorics of Permutations written by Miklos Bona and published by CRC Press. This book was released on 2016-04-19 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Unified Account of Permutations in Modern CombinatoricsA 2006 CHOICE Outstanding Academic Title, the first edition of this bestseller was lauded for its detailed yet engaging treatment of permutations. Providing more than enough material for a one-semester course, Combinatorics of Permutations, Second Edition continues to clearly show the usefuln
Author : Bryan Bunch
Publisher : Courier Corporation
ISBN 13 : 0486137937
Total Pages : 240 pages
Book Rating : 4.4/5 (861 download)
Download or read book Mathematical Fallacies and Paradoxes written by Bryan Bunch and published by Courier Corporation. This book was released on 2012-10-16 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stimulating, thought-provoking analysis of the most interesting intellectual inconsistencies in mathematics, physics, and language, including being led astray by algebra (De Morgan's paradox). 1982 edition.
Author : Samuel Bruce Smith
Publisher : Cambridge University Press
ISBN 13 : 1316033708
Total Pages : 393 pages
Book Rating : 4.3/5 (16 download)
Download or read book Chance, Strategy, and Choice written by Samuel Bruce Smith and published by Cambridge University Press. This book was released on 2015-06-29 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Games and elections are fundamental activities in society with applications in economics, political science, and sociology. These topics offer familiar, current, and lively subjects for a course in mathematics. This classroom-tested textbook, primarily intended for a general education course in game theory at the freshman or sophomore level, provides an elementary treatment of games and elections. Starting with basics such as gambling, zero-sum and combinatorial games, Nash equilibria, social dilemmas, and fairness and impossibility theorems for elections, the text then goes further into the theory with accessible proofs of advanced topics such as the Sprague–Grundy theorem and Arrow's impossibility theorem. • Uses an integrative approach to probability, game, and social choice theory • Provides a gentle introduction to the logic of mathematical proof, thus equipping readers with the necessary tools for further mathematical studies • Contains numerous exercises and examples of varying levels of difficulty • Requires only a high school mathematical background.
Author : George Shoobridge Carr
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.R/5 (6 download)
Download or read book A Synopsis of Elementary Results in Pure and Applied Mathematics written by George Shoobridge Carr and published by . This book was released on 1880 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Carlos J. Moreno
Publisher : CRC Press
ISBN 13 : 1584884568
Total Pages : 368 pages
Book Rating : 4.5/5 (848 download)
Download or read book Sums of Squares of Integers written by Carlos J. Moreno and published by CRC Press. This book was released on 2005-12-09 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sums of Squares of Integers covers topics in combinatorial number theory as they relate to counting representations of integers as sums of a certain number of squares. The book introduces a stimulating area of number theory where research continues to proliferate. It is a book of "firsts" - namely it is the first book to combine Liouville's elementary methods with the analytic methods of modular functions to study the representation of integers as sums of squares. It is the first book to tell how to compute the number of representations of an integer n as the sum of s squares of integers for any s and n. It is also the first book to give a proof of Szemeredi's theorem, and is the first number theory book to discuss how the modern theory of modular forms complements and clarifies the classical fundamental results about sums of squares. The book presents several existing, yet still interesting and instructive, examples of modular forms. Two chapters develop useful properties of the Bernoulli numbers and illustrate arithmetic progressions, proving the theorems of van der Waerden, Roth, and Szemeredi. The book also explains applications of the theory to three problems that lie outside of number theory in the areas of cryptanalysis, microwave radiation, and diamond cutting. The text is complemented by the inclusion of over one hundred exercises to test the reader's understanding.
Author : Hannah Fry
Publisher : Simon and Schuster
ISBN 13 : 1476784884
Total Pages : 128 pages
Book Rating : 4.4/5 (767 download)
Download or read book The Mathematics of Love written by Hannah Fry and published by Simon and Schuster. This book was released on 2015-02-03 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uses math as a tool for explaining the complicated patterns of love, tackling such common questions as the chance of finding love that will last, how online dating works, and when to compromise.
Author : David Wright
Publisher : American Mathematical Soc.
ISBN 13 : 0821848739
Total Pages : 178 pages
Book Rating : 4.8/5 (218 download)
Download or read book Mathematics and Music written by David Wright and published by American Mathematical Soc.. This book was released on 2009 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many people intuitively sense that there is a connection between mathematics and music. If nothing else, both involve counting. There is, of course, much more to the association. David Wright's book is an investigation of the interrelationships between mathematics and music, reviewing the needed background concepts in each subject as they are encountered. Along the way, readers will augment their understanding of both mathematics and music. The text explores the common foundations of the two subjects, which are developed side by side. Musical and mathematical notions are brought together, such as scales and modular arithmetic, intervals and logarithms, tone and trigonometry, and timbre and harmonic analysis. When possible, discussions of musical and mathematical notions are directly interwoven. Occasionally the discourse dwells for a while on one subject and not the other, but eventually the connection is established, making this an integrative treatment of the two subjects. The book is a text for a freshman level college course suitable for musically inclined or mathematically inclined students, with the intent of breaking down any apprehension that either group might have for the other subject. Exercises are given at the end of each chapter. The mathematical prerequisites are a high-school level familiarity with algebra, trigonometry, functions, and graphs. Musically, the student should have had some exposure to musical staffs, standard clefs, and key signatures, though all of these are explained in the text.
Author : Thomas A. Garrity
Publisher : 清华大学出版社有限公司
ISBN 13 : 9787302090854
Total Pages : 380 pages
Book Rating : 4.0/5 (98 download)
Download or read book All the Mathematics You Missed written by Thomas A. Garrity and published by 清华大学出版社有限公司. This book was released on 2004 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:
