Lectures on Number Theory

Lectures on Number Theory PDF

Author: Peter Gustav Lejeune Dirichlet

Publisher: American Mathematical Soc.

Published: 1999

Total Pages: 297

ISBN-13: 0821820176

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Lectures on Number Theory is the first of its kind on the subject matter. It covers most of the topics that are standard in a modern first course on number theory, but also includes Dirichlet's famous results on class numbers and primes in arithmetic progressions.

17 Lectures on Fermat Numbers

17 Lectures on Fermat Numbers PDF

Author: Michal Krizek

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 280

ISBN-13: 0387218505

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The pioneering work of Pierre de Fermat has attracted the attention of mathematicians for over 350 years. This book provides an overview of the many properties of Fermat numbers and demonstrates their applications in areas such as number theory, probability theory, geometry, and signal processing. It is an ideal introduction to the basic mathematical ideas and algebraic methods connected with the Fermat numbers.

Elementary Number Theory

Elementary Number Theory PDF

Author: Underwood Dudley

Publisher: Courier Corporation

Published: 2008-09-25

Total Pages: 274

ISBN-13: 048646931X

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Minimal prerequisites make this text ideal for a first course in number theory. Written in a lively, engaging style by the author of popular mathematics books, it features nearly 1,000 imaginative exercises and problems. Solutions to many of the problems are included, and a teacher's guide is available. 1978 edition.

A Guide to Elementary Number Theory

A Guide to Elementary Number Theory PDF

Author: Underwood Dudley

Publisher: American Mathematical Soc.

Published: 2009-12-31

Total Pages: 141

ISBN-13: 0883859181

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An introductory guide to elementary number theory for advanced undergraduates and graduates.

An Introductory Course in Elementary Number Theory

An Introductory Course in Elementary Number Theory PDF

Author: Wissam Raji

Publisher: The Saylor Foundation

Published: 2013-05-09

Total Pages: 171

ISBN-13:

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These notes serve as course notes for an undergraduate course in number theory. Most if not all universities worldwide offer introductory courses in number theory for math majors and in many cases as an elective course. The notes contain a useful introduction to important topics that need to be addressed in a course in number theory. Proofs of basic theorems are presented in an interesting and comprehensive way that can be read and understood even by non-majors with the exception in the last three chapters where a background in analysis, measure theory and abstract algebra is required. The exercises are carefully chosen to broaden the understanding of the concepts. Moreover, these notes shed light on analytic number theory, a subject that is rarely seen or approached by undergraduate students. One of the unique characteristics of these notes is the careful choice of topics and its importance in the theory of numbers. The freedom is given in the last two chapters because of the advanced nature of the topics that are presented.

An Introduction to the Theory of Numbers

An Introduction to the Theory of Numbers PDF

Author: Leo Moser

Publisher: The Trillia Group

Published: 2004

Total Pages: 95

ISBN-13: 1931705011

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"This book, which presupposes familiarity only with the most elementary concepts of arithmetic (divisibility properties, greatest common divisor, etc.), is an expanded version of a series of lectures for graduate students on elementary number theory. Topics include: Compositions and Partitions; Arithmetic Functions; Distribution of Primes; Irrational Numbers; Congruences; Diophantine Equations; Combinatorial Number Theory; and Geometry of Numbers. Three sections of problems (which include exercises as well as unsolved problems) complete the text."--Publisher's description

My Numbers, My Friends

My Numbers, My Friends PDF

Author: Paulo Ribenboim

Publisher: Springer Science & Business Media

Published: 2000-06-09

Total Pages: 384

ISBN-13: 0387989110

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This selection of expository essays by Paulo Ribenboim should be of interest to mathematicians from all walks. Ribenboim, a highly praised author of several popular titles, writes each essay in a light and humorous language without secrets, making them thoroughly accessible to everyone with an interest in numbers. This new collection includes essays on Fibonacci numbers, prime numbers, Bernoulli numbers, and historical presentations of the main problems pertaining to elementary number theory, such as Kummers work on Fermat's last theorem.

My Numbers, My Friends

My Numbers, My Friends PDF

Author: Paulo Ribenboim

Publisher: Springer Science & Business Media

Published: 2006-05-10

Total Pages: 384

ISBN-13: 0387227547

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This selection of expository essays by Paulo Ribenboim should be of interest to mathematicians from all walks. Ribenboim, a highly praised author of several popular titles, writes each essay in a light and humorous language without secrets, making them thoroughly accessible to everyone with an interest in numbers. This new collection includes essays on Fibonacci numbers, prime numbers, Bernoulli numbers, and historical presentations of the main problems pertaining to elementary number theory, such as Kummers work on Fermat's last theorem.

Lectures on Elementary Mathematics

Lectures on Elementary Mathematics PDF

Author: Joseph Louis Lagrange

Publisher: Courier Corporation

Published: 2012-08-29

Total Pages: 178

ISBN-13: 0486155021

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One of the 18th century's greatest mathematicians delivered these lectures at a training school for teachers. An exemplar among elementary expositions, they combine original ideas and elegant expression. 1898 edition.