Elementary Number Theory

Author: Ethan D. Bolker
Publisher: Courier Corporation
ISBN: 0486153096
Format: PDF, ePub, Docs
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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
Publisher: Courier Corporation
ISBN: 0486135101
Format: PDF, Mobi
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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

Fundamentals of Number Theory

Author: William J. LeVeque
Publisher: Courier Corporation
ISBN: 0486141500
Format: PDF, ePub
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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
Format: PDF
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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.

An Adventurer s Guide to Number Theory

Author: Richard Friedberg
Publisher: Courier Corporation
ISBN: 0486152693
Format: PDF, Docs
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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.

Elements of Number Theory

Author: John Stillwell
Publisher: Springer Science & Business Media
ISBN: 0387217355
Format: PDF, Kindle
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Solutions of equations in integers is the central problem of number theory and is the focus of this book. The amount of material is suitable for a one-semester course. The author has tried to avoid the ad hoc proofs in favor of unifying ideas that work in many situations. There are exercises at the end of almost every section, so that each new idea or proof receives immediate reinforcement.

Elementary Number Theory

Author: Gareth A. Jones
Publisher: Springer Science & Business Media
ISBN: 144710613X
Format: PDF, Mobi
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An undergraduate-level introduction to number theory, with the emphasis on fully explained proofs and examples. Exercises, together with their solutions are integrated into the text, and the first few chapters assume only basic school algebra. Elementary ideas about groups and rings are then used to study groups of units, quadratic residues and arithmetic functions with applications to enumeration and cryptography. The final part, suitable for third-year students, uses ideas from algebra, analysis, calculus and geometry to study Dirichlet series and sums of squares. In particular, the last chapter gives a concise account of Fermat's Last Theorem, from its origin in the ancient Babylonian and Greek study of Pythagorean triples to its recent proof by Andrew Wiles.

A Course in Computational Algebraic Number Theory

Author: Henri Cohen
Publisher: Springer Science & Business Media
ISBN: 3662029456
Format: PDF, ePub
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A description of 148 algorithms fundamental to number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves, primality testing and factoring. The first seven chapters guide readers to the heart of current research in computational algebraic number theory, including recent algorithms for computing class groups and units, as well as elliptic curve computations, while the last three chapters survey factoring and primality testing methods, including a detailed description of the number field sieve algorithm. The whole is rounded off with a description of available computer packages and some useful tables, backed by numerous exercises. Written by an authority in the field, and one with great practical and teaching experience, this is certain to become the standard and indispensable reference on the subject.

Excursions in Number Theory

Author: Charles Stanley Ogilvy
Publisher: Courier Corporation
ISBN: 9780486257785
Format: PDF
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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.

Advanced Number Theory

Author: Harvey Cohn
Publisher: Courier Corporation
ISBN: 0486149242
Format: PDF, Mobi
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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.