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Elementary Decision Theory

Elementary Decision Theory

Author: Herman Chernoff, Lincoln E. Moses
Publisher: Courier Corporation
ISBN: 0486652181
Pages: 364
Year: 1959
This well-respected introduction to statistics and statistical theory covers data processing, probability and random variables, utility and descriptive statistics, computation of Bayes strategies, models, testing hypotheses, and much more. 1959 edition.
Theory of Games and Statistical Decisions

Theory of Games and Statistical Decisions

Author: David A. Blackwell, M. A. Girshick
Publisher: Courier Corporation
ISBN: 0486150895
Pages: 384
Year: 2012-06-14
A problem-oriented text for evaluating statistical procedures through decision and game theory. First-year graduates in statistics, computer experts and others will find this highly respected work best introduction to growing field.
Two-Person Game Theory

Two-Person Game Theory

Author: Anatol Rapoport
Publisher: Courier Corporation
ISBN: 0486281094
Pages: 240
Year: 2013-01-01
Clear, accessible treatment of mathematical models for resolving conflicts in politics, economics, war, business, and social relationships. Topics include strategy, game tree and game matrix, and much more. Minimal math background required. 1970 edition.
Elementary Theory of Numbers

Elementary Theory of Numbers

Author: William J. LeVeque
Publisher: Courier Corporation
ISBN: 0486150763
Pages: 160
Year: 2014-01-15
Superb introduction to Euclidean algorithm and its consequences, congruences, continued fractions, powers of an integer modulo m, Gaussian integers, Diophantine equations, more. Problems, with answers. Bibliography.
The Mathematics of Games of Strategy

The Mathematics of Games of Strategy

Author: Melvin Dresher
Publisher: Courier Corporation
ISBN: 0486150062
Pages: 208
Year: 2012-11-14
This text offers an exceptionally clear presentation of the mathematical theory of games of strategy and its applications to many fields including economics, military, business, and operations research.
An Adventurer's Guide to Number Theory

An Adventurer's Guide to Number Theory

Author: Richard Friedberg
Publisher: Courier Corporation
ISBN: 0486152693
Pages: 240
Year: 2012-07-06
This witty introduction to number theory deals with the properties of numbers and numbers as abstract concepts. Topics include primes, divisibility, quadratic forms, and related theorems.
Functional Analysis

Functional Analysis

Author: R.E. Edwards
Publisher: Courier Corporation
ISBN: 0486145107
Pages: 800
Year: 2012-10-25
Massive compilation offers detailed, in-depth discussions of vector spaces, Hahn-Banach theorem, fixed-point theorems, duality theory, Krein-Milman theorem, theory of compact operators, much more. Many examples and exercises. 32-page bibliography. 1965 edition.
Number Theory and Its History

Number Theory and Its History

Author: Oystein Ore
Publisher: Courier Corporation
ISBN: 0486136434
Pages: 400
Year: 2012-07-06
Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.
Intuitive Concepts in Elementary Topology

Intuitive Concepts in Elementary Topology

Author: B.H. Arnold
Publisher: Courier Corporation
ISBN: 0486275760
Pages: 192
Year: 2015-02-23
Classroom-tested and much-cited, this concise text is designed for undergraduates. It offers a valuable and instructive introduction to the basic concepts of topology, taking an intuitive rather than an axiomatic viewpoint. 1962 edition.
Introduction to the Theory of Numbers

Introduction to the Theory of Numbers

Author: Harold N. Shapiro
Publisher: Courier Corporation
ISBN: 0486466698
Pages: 459
Year: 1983
Starting with the fundamentals of number theory, this text advances to an intermediate level. Author Harold N. Shapiro, Professor Emeritus of Mathematics at New York University's Courant Institute, addresses this treatment toward advanced undergraduates and graduate students. Selected chapters, sections, and exercises are appropriate for undergraduate courses. The first five chapters focus on the basic material of number theory, employing special problems, some of which are of historical interest. Succeeding chapters explore evolutions from the notion of congruence, examine a variety of applications related to counting problems, and develop the roots of number theory. Two "do-it-yourself" chapters offer readers the chance to carry out small-scale mathematical investigations that involve material covered in previous chapters.
Excursions in Number Theory

Excursions in Number Theory

Author: Charles Stanley Ogilvy, John Timothy Anderson
Publisher: Courier Corporation
ISBN: 0486257789
Pages: 168
Year: 1988
Challenging, accessible mathematical adventures involving prime numbers, number patterns, irrationals and iterations, calculating prodigies, and more. No special training is needed, just high school mathematics and an inquisitive mind. "A splendidly written, well selected and presented collection. I recommend the book unreservedly to all readers." — Martin Gardner.
Game Theory

Game Theory

Author: James N. Webb
Publisher: Springer Science & Business Media
ISBN: 1846286360
Pages: 242
Year: 2007-03-06
The outstanding feature of this book is that it provides a unified account of three types of decision problem. It covers the basic ideas of decision theory, classical game theory, and evolutionary game theory in one volume. No background knowledge of economics or biology is required as examples have been carefully selected for their accessibility. Detailed solutions to the numerous exercises are provided at the back of the book, making it ideal for self-study. This introduction to game theory is intended as a first course for undergraduate students of mathematics, but it will also interest advanced students or researchers in biology and economics.
An Introduction to Decision Theory

An Introduction to Decision Theory

Author: Martin Peterson
Publisher: Cambridge University Press
ISBN: 1107151597
Pages: 348
Year: 2017-03-30
Now revised and updated, this introduction to decision theory is both accessible and comprehensive, covering topics including decision making under ignorance and risk, the foundations of utility theory, the debate over subjective and objective probability, Bayesianism, causal decision theory, game theory, and social choice theory. No mathematical skills are assumed, with all concepts and results explained in non-technical and intuitive as well as more formal ways. There are now over 140 exercises with solutions, along with a glossary of key terms and concepts. This second edition includes a new chapter on risk aversion as well as updated discussions of numerous central ideas, including Newcomb's problem, prisoner's dilemmas, and Arrow's impossibility theorem. The book will appeal particularly to philosophy students but also to readers in a range of disciplines, from computer science and psychology to economics and political science.
Game Theory

Game Theory

Author: Morton D. Davis
Publisher: Courier Corporation
ISBN: 0486296725
Pages: 252
Year: 1983
This fascinating, newly revised edition offers an overview of game theory, plus lucid coverage of two-person zero-sum game with equilibrium points; general, two-person zero-sum game; utility theory; and other topics.
An Introduction to Stability Theory

An Introduction to Stability Theory

Author: Anand Pillay
Publisher: Courier Corporation
ISBN: 0486150437
Pages: 160
Year: 2013-05-17
This introductory treatment covers the basic concepts and machinery of stability theory. Full of examples, theorems, propositions, and problems, it is suitable for graduate students, professional mathematicians, and computer scientists. 1983 edition.