An Adventurer s Guide to Number Theory

Author: Richard Friedberg
Publisher: Courier Corporation
ISBN: 0486152693
Format: PDF, Docs
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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.

Number Theory

Author: George E. Andrews
Publisher: Courier Corporation
ISBN: 9780486682525
Format: PDF, ePub
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Written by a distinguished mathematician and teacher, this undergraduate text uses a combinatorial approach to accommodate both math majors and liberal arts students. In addition to covering the basics of number theory, it offers an outstanding introduction to partitions, plus chapters on multiplicativity-divisibility, quadratic congruences, additivity, and more.

Elementary Theory of Numbers

Author: William J. LeVeque
Publisher: Courier Corporation
ISBN: 0486150763
Format: PDF, ePub
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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.

Fundamentals of Number Theory

Author: William J. LeVeque
Publisher: Courier Corporation
ISBN: 0486141500
Format: PDF, Docs
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DIVBasic treatment, incorporating language of abstract algebra and a history of the discipline. Unique factorization and the GCD, quadratic residues, sums of squares, much more. Numerous problems. Bibliography. 1977 edition. /div

Elementary Number Theory

Author: Underwood Dudley
Publisher: Courier Corporation
ISBN: 0486134873
Format: PDF, ePub
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Written in a lively, engaging style by the author of popular mathematics books, this volume features nearly 1,000 imaginative exercises and problems. Some solutions included. 1978 edition.

The Art of the Infinite

Author: Robert Kaplan
Publisher: Bloomsbury Publishing USA
ISBN: 1608198693
Format: PDF, ePub, Mobi
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Traces the development of mathematical thinking and describes the characteristics of the "republic of numbers" in terms of humankind's fascination with, and growing knowledge of, infinity.

A Combinatorial Introduction to Topology

Author: Michael Henle
Publisher: Courier Corporation
ISBN: 9780486679662
Format: PDF, ePub
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Excellent text covers vector fields, plane homology and the Jordan Curve Theorem, surfaces, homology of complexes, more. Problems and exercises. Some knowledge of differential equations and multivariate calculus required.Bibliography. 1979 edition.

A Book of Set Theory

Author: Charles C Pinter
Publisher: Courier Corporation
ISBN: 0486497089
Format: PDF, ePub, Docs
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"This accessible approach to set theory for upper-level undergraduates poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. A historical introduction is followed by discussions of classes and sets, functions, natural and cardinal numbers, the arithmetic of ordinal numbers, and related topics. 1971 edition with new material by the author"--

Set Theory and Logic

Author: Robert R. Stoll
Publisher: Courier Corporation
ISBN: 0486139646
Format: PDF, Kindle
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Explores sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic theories, and 1st-order theories.