NUMBER THEORY DOVER BOOKS ON MATHEMATICS

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Number Theory

Author : George E. Andrews
ISBN : 9780486135106
Genre : Mathematics
File Size : 44.18 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
Category: Mathematics

A Course In Algebraic Number Theory

Author : Robert B. Ash
ISBN : 9780486477541
Genre : Mathematics
File Size : 73.13 MB
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This text for a graduate-level course covers the general theory of factorization of ideals in Dedekind domains as well as the number field case. It illustrates the use of Kummer's theorem, proofs of the Dirichlet unit theorem, and Minkowski bounds on element and ideal norms. 2003 edition.
Category: Mathematics

Fundamentals Of Number Theory

Author : William J. LeVeque
ISBN : 9780486141503
Genre : Mathematics
File Size : 65.25 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
Category: Mathematics

Excursions In Number Theory

Author : Charles Stanley Ogilvy
ISBN : 0486257789
Genre : Mathematics
File Size : 43.59 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.
Category: Mathematics

An Adventurer S Guide To Number Theory

Author : Richard Friedberg
ISBN : 9780486152691
Genre : Science
File Size : 29.65 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.
Category: Science

Number Theory And Its History

Author : Oystein Ore
ISBN : 9780486136431
Genre : Mathematics
File Size : 42.9 MB
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Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.
Category: Mathematics

Elementary Number Theory

Author : Underwood Dudley
ISBN : 9780486134871
Genre : Mathematics
File Size : 54.45 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.
Category: Mathematics

Elements Of Number Theory

Author : I. M. Vinogradov
ISBN : 9780486160351
Genre : Mathematics
File Size : 54.92 MB
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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.
Category: Mathematics

Algebraic Number Theory

Author : Edwin Weiss
ISBN : 9780486154367
Genre : Mathematics
File Size : 60.77 MB
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Ideal either for classroom use or as exercises for mathematically minded individuals, this text introduces elementary valuation theory, extension of valuations, local and ordinary arithmetic fields, and global, quadratic, and cyclotomic fields.
Category: Mathematics

Elementary Number Theory

Author : Ethan D. Bolker
ISBN : 9780486153094
Genre : Mathematics
File Size : 59.79 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.
Category: Mathematics