Number Theory : An Introduction via the Density of Primes

Name: Number Theory
Brand: Birkhauser Verlag AG
SKU: 9783319438733
Price: 9000 KES
Availability: OutOfStock
ISBN: 9783319438733

2nd ed. 2016

by Benjamin Fine , Gerhard Rosenberger

Book Details

Format Hardback

ISBN-10 3319438735

ISBN-13 9783319438733

Edition 2nd ed. 2016

Publisher Birkhauser Verlag AG

Imprint Birkhauser Verlag AG

Country of Manufacture CH

Country of Publication GB

Publication Date Sep 27th, 2016

Print length 413 Pages

Weight 758 grams

Dimensions 24.50 x 17.10 x 3.00 cms

Product Classification: Number theory

KSh 9,000.00

Temporarily out of stock, due soon 0 in stock

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Now in its second edition, this textbook provides an introduction and overview of number theory based on the density and properties of the prime numbers. This unique approach offers both a firm background in the standard material of number theory, as well as an overview of the entire discipline. All of the essential topics are covered, such as the fundamental theorem of arithmetic, theory of congruences, quadratic reciprocity, arithmetic functions, and the distribution of primes. New in this edition are coverage of p-adic numbers, Hensel''s lemma, multiple zeta-values, and elliptic curve methods in primality testing.

Key topics and features include:

A solid introduction to analytic number theory, including full proofs of Dirichlet''s Theorem and the Prime Number Theorem
Concise treatment of algebraic number theory, including a complete presentation of primes, prime factorizations in algebraic number fields, and unique factorization of ideals
Discussion of the AKS algorithm, which shows that primality testing is one of polynomial time, a topic not usually included in such texts
Many interesting ancillary topics, such as primality testing and cryptography, Fermat and Mersenne numbers, and Carmichael numbers

The user-friendly style, historical context, and wide range of exercises that range from simple to quite difficult (with solutions and hints provided for select exercises) make Number Theory: An Introduction via the Density of Primes ideal for both self-study and classroom use. Intended for upper level undergraduates and beginning graduates, the only prerequisites are a basic knowledge of calculus, multivariable calculus, and some linear algebra. All necessary concepts from abstract algebra and complex analysis are introduced where needed.

Get Number Theory by Benjamin Fine, Gerhard Rosenberger at the best price and quality guaranteed only at Werezi Africa's largest book ecommerce store. The book was published by Birkhauser Verlag AG and it has 413 pages.