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Number Theory Revealed : An Introduction by Andrew Granville (2019, Hardcover)
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Readers should be familiar with the commonly used sets of numbers N,Z, and Q, as well as polynomials with integer coefficients, denoted by Z[x]. Annotation ©2020 Ringgold, Inc., Portland, OR ().
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About this product
Product Identifiers
PublisherAmerican Mathematical Society
ISBN-101470441578
ISBN-139781470441579
eBay Product ID (ePID)15038373928
Product Key Features
Number of Pages280 Pages
Publication NameNumber Theory Revealed : an Introduction
LanguageEnglish
Publication Year2019
SubjectGeneral
TypeTextbook
AuthorAndrew Granville
Subject AreaMathematics
FormatHardcover
Dimensions
Item Height0.8 in
Item Weight24.5 Oz
Item Length10 in
Item Width7 in
Additional Product Features
Intended AudienceScholarly & Professional
LCCN2019-029059
Dewey Edition23
IllustratedYes
Dewey Decimal512.7
Table Of ContentPreliminary chapter on induction The Euclidean algorithm Congruences The basic algebra of number theory Multiplicative functions The distribution of prime numbers Diophantine problems Power residues Quadratic residues Quadratic equations Square roots and factoring Rational approximations to real numbers Binary quadratic forms Hints for exercises Recommended further reading Index.
SynopsisOffers a fresh take on congruences, power residues, quadratic residues, primes, and Diophantine equations and presents hot topics like cryptography, factoring, and primality testing. Students are also introduced to beautiful enlightening questions and modern twists on traditional questions., Number Theory Revealed: An Introduction presents a fresh take on congruences, power residues, quadratic residues, primes, and Diophantine equations, as well as hot topics like cryptography, factoring, and primality testing. Students are also introduced to beautiful enlightening questions like the structure of Pascal's triangle mod p, Fermat's Last Theorem for polynomials, and modern twists on traditional questions. This book provides careful coverage of all core topics in a standard introductory number theory course with pointers to some exciting further directions. An expanded edition, Number Theory Revealed: A Masterclass , offers a more comprehensive approach, adding additional material in further chapters and appendices. It is ideal for instructors who wish to tailor a class to their own interests and gives well-prepared students further opportunities to challenge themselves and push beyond core number theory concepts, serving as a springboard to many current themes in mathematics.
LC Classification NumberQA241.G648 2019
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