elementary number theory an algebraic approach dover books on mathematics

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Elementary Number Theory

Author : Ethan D. Bolker
ISBN : 9780486153094
Genre : Mathematics
File Size : 54. 22 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.

Number Theory

Author : George E. Andrews
ISBN : 9780486135106
Genre : Mathematics
File Size : 70. 49 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

Who Gave You The Epsilon

Author : Marlow Anderson
ISBN : 0883855690
Genre : Mathematics
File Size : 68. 56 MB
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Follows on from Sherlock Holmes in Babylon to take the history of mathematics through the nineteenth and twentieth centuries.

Abstract Analytic Number Theory

Author : John Knopfmacher
ISBN : 9780486663449
Genre : Mathematics
File Size : 79. 65 MB
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John Knopfmacher (1937-99) was a Professor of Mathematics at the University of the Witwatersrand in Johannesburg, South Africa. ...

Elementary Number Theory

Author : Underwood Dudley
ISBN : 9780486134871
Genre : Mathematics
File Size : 32. 91 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.

A Book Of Set Theory

Author : Charles C Pinter
ISBN : 9780486497082
Genre : Mathematics
File Size : 63. 3 MB
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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"--

For The Learning Of Mathematics

Author :
ISBN : CORNELL:31924059007082
Genre : Mathematics
File Size : 82. 50 MB
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Advanced Number Theory

Author : Harvey Cohn
ISBN : 9780486149240
Genre : Mathematics
File Size : 40. 78 MB
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Eminent mathematician/teacher approaches algebraic number theory from historical standpoint. Demonstrates how concepts, definitions, and theories have evolved during last two centuries. Features over 200 problems and specific theorems. Includes numerous graphs and tables.

Algebraic Theory Of Quadratic Numbers

Author : Mak Trifković
ISBN : 9781461477174
Genre : Mathematics
File Size : 59. 12 MB
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By focusing on quadratic numbers, this advanced undergraduate or master’s level textbook on algebraic number theory is accessible even to students who have yet to learn Galois theory. The techniques of elementary arithmetic, ring theory and linear algebra are shown working together to prove important theorems, such as the unique factorization of ideals and the finiteness of the ideal class group. The book concludes with two topics particular to quadratic fields: continued fractions and quadratic forms. The treatment of quadratic forms is somewhat more advanced than usual, with an emphasis on their connection with ideal classes and a discussion of Bhargava cubes. The numerous exercises in the text offer the reader hands-on computational experience with elements and ideals in quadratic number fields. The reader is also asked to fill in the details of proofs and develop extra topics, like the theory of orders. Prerequisites include elementary number theory and a basic familiarity with ring theory.

Elementary Matrix Theory

Author : Howard Eves
ISBN : 9780486150277
Genre : Mathematics
File Size : 23. 53 MB
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Concrete treatment of fundamental concepts and operations, equivalence, determinants, matrices with polynomial elements, and similarity and congruence. Each chapter has many excellent problems and optional related information. No previous course in abstract algebra required.

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