elementary theory of numbers dover books on mathematics

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Elementary Theory Of Numbers

Author : William J. LeVeque
ISBN : 9780486150765
Genre : Mathematics
File Size : 87. 53 MB
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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.

Introduction To The Theory Of Numbers

Author : Harold N. Shapiro
ISBN : 9780486466699
Genre : Mathematics
File Size : 28. 48 MB
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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.

An Adventurer S Guide To Number Theory

Author : Richard Friedberg
ISBN : 9780486152691
Genre : Science
File Size : 84. 27 MB
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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
ISBN : 9780486135106
Genre : Mathematics
File Size : 66. 38 MB
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Undergraduate text uses combinatorial approach to accommodate both math majors and liberal arts students. Covers the basics of number theory, offers an outstanding introduction to partitions, plus chapters on multiplicativity-divisibility, quadratic congruences, additivity, and more

Elementary Number Theory

Author : Underwood Dudley
ISBN : 9780486134871
Genre : Mathematics
File Size : 84. 52 MB
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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.

Excursions In Number Theory

Author : Charles Stanley Ogilvy
ISBN : 0486257789
Genre : Mathematics
File Size : 25. 78 MB
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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.

Fundamentals Of Number Theory

Author : William J. LeVeque
ISBN : 9780486141503
Genre : Mathematics
File Size : 23. 71 MB
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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 : Ethan D. Bolker
ISBN : 9780486153094
Genre : Mathematics
File Size : 81. 92 MB
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This text uses the concepts usually taught in the first semester of a modern abstract algebra course to illuminate classical number theory: theorems on primitive roots, quadratic Diophantine equations, and more.

Elementary Number Theory In Nine Chapters

Author : James J. Tattersall
ISBN : 0521850142
Genre : Mathematics
File Size : 70. 77 MB
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This textbook is intended to serve as a one-semester introductory course in number theory and in this second edition it has been revised throughout and many new exercises have been added. At the heart of the book are the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler, and to fully illustrate the properties of numbers and concepts developed in the text, a wealth of exercises have been included. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject.

The Theory Of Algebraic Numbers

Author : Harry Pollard
ISBN : 9780486154374
Genre : Mathematics
File Size : 85. 87 MB
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DIVExcellent intro to basics of algebraic number theory. Gausian primes; polynomials over a field; algebraic number fields; algebraic integers and integral bases; uses of arithmetic in algebraic number fields; the fundamental theorem of ideal theory and its consequences; ideal classes and class numbers; Fermat conjecture. 1975 edition. /div

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