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Number Theory

Author: George E. Andrews
Publisher: Courier Corporation
ISBN: 9780486682525
Size: 70.14 MB
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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.

Fundamentals Of Number Theory

Author: William J. LeVeque
Publisher: Courier Corporation
ISBN: 0486141500
Size: 26.95 MB
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

Introduction To The Theory Of Numbers

Author: Harold N. Shapiro
Publisher: Courier Corporation
ISBN: 0486466698
Size: 63.74 MB
Format: PDF
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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.

Number Theory And Its History

Author: Oystein Ore
Publisher: Courier Corporation
ISBN: 0486136434
Size: 74.16 MB
Format: PDF, ePub, Mobi
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Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.

Elementary Theory Of Numbers

Author: William J. LeVeque
Publisher: Courier Corporation
ISBN: 0486150763
Size: 75.91 MB
Format: PDF, Mobi
View: 1934
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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.

Elements Of Number Theory

Author: I. M. Vinogradov
Publisher: Courier Dover Publications
ISBN: 0486160351
Size: 51.71 MB
Format: PDF, Kindle
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Clear, detailed exposition that can be understood by readers with no background in advanced mathematics. More than 200 problems and full solutions, plus 100 numerical exercises. 1949 edition.

Elementary Number Theory

Author: Underwood Dudley
Publisher: Courier Corporation
ISBN: 0486134873
Size: 28.52 MB
Format: PDF, ePub, Mobi
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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.

Elementary Methods In Number Theory

Author: Melvyn B. Nathanson
Publisher: Springer Science & Business Media
ISBN: 0387227385
Size: 19.91 MB
Format: PDF, Mobi
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This basic introduction to number theory is ideal for those with no previous knowledge of the subject. The main topics of divisibility, congruences, and the distribution of prime numbers are covered. Of particular interest is the inclusion of a proof for one of the most famous results in mathematics, the prime number theorem. With many examples and exercises, and only requiring knowledge of a little calculus and algebra, this book will suit individuals with imagination and interest in following a mathematical argument to its conclusion.

Fundamentals Of Number Theory

Author: William J. LeVeque
Publisher: Courier Corporation
ISBN: 0486141500
Size: 35.43 MB
Format: PDF, Kindle
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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

Fundamental Concepts Of Algebra

Author: Bruce Elwyn Meserve
Publisher: Courier Corporation
ISBN: 9780486614700
Size: 43.34 MB
Format: PDF, Kindle
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Uncommonly interesting introduction illuminates complexities of higher mathematics while offering a thorough understanding of elementary mathematics. Covers development of complex number system and elementary theories of numbers, polynomials and operations, determinants, matrices, constructions and graphical representations. Several exercises — without solutions.