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Number Theory

Author: George E. Andrews
Publisher: Courier Corporation
ISBN: 9780486682525
Size: 34.65 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: 17.57 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: Underwood Dudley
Publisher: Courier Corporation
ISBN: 0486134873
Size: 66.42 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.

Topics In Number Theory

Author: William Judson LeVeque
Publisher: Courier Corporation
ISBN: 9780486425399
Size: 26.11 MB
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Classic two-part work now available in a single volume assumes no prior theoretical knowledge on reader's part and develops the subject fully. Volume I is a suitable first course text for advanced undergraduate and beginning graduate students. Volume II requires a much higher level of mathematical maturity, including a working knowledge of the theory of analytic functions. Contents range from chapters on binary quadratic forms to the Thue-Siegel-Roth Theorem and the Prime Number Theorem. Includes numerous problems and hints for their solutions. 1956 edition. Supplementary Reading. List of Symbols. Index.

Introduction To The Theory Of Numbers

Author: Harold N. Shapiro
Publisher: Courier Corporation
ISBN: 0486466698
Size: 11.68 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.

The Theory Of Algebraic Numbers

Author: Harry Pollard
Publisher: Courier Corporation
ISBN: 9780486404547
Size: 47.75 MB
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Excellent 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.

Algebraic Theory Of Numbers

Author: Pierre Samuel
Publisher: Courier Corporation
ISBN: 0486318273
Size: 43.84 MB
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This text covers the basics of algebraic number theory, including divisibility theory in principal ideal domains, the unit theorem, finiteness of the class number, and Hilbert ramification theory. 1970 edition.

An Outline Of Set Theory

Author: James M. Henle
Publisher: Courier Corporation
ISBN: 0486453375
Size: 43.44 MB
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An innovative problem-oriented introduction to set theory, this volume is intended for undergraduate courses in which students work in groups on projects and present their solutions to the class. The three-part treatment consists of problems, hints for their solutions, and complete answers. 1986 edition.

A Book Of Set Theory

Author: Charles C Pinter
Publisher: Courier Corporation
ISBN: 0486497089
Size: 56.14 MB
Format: PDF, Kindle
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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"--

Elements Of Abstract Algebra

Author: Allan Clark
Publisher: Courier Corporation
ISBN: 0486140350
Size: 11.15 MB
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Lucid coverage of the major theories of abstract algebra, with helpful illustrations and exercises included throughout. Unabridged, corrected republication of the work originally published 1971. Bibliography. Index. Includes 24 tables and figures.