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Number Theory Revealed : A Masterclass by Andrew Granville (2019, Hardcover)
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Number Theory Revealed: A Masterclass by Granville, Andrew Ex-Library copy with typical library marks and stamps. Shelf and handling wear to cover and binding, with general signs of previous use. Secure packaging for safe delivery.
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About this product
Product Identifiers
PublisherAmerican Mathematical Society
ISBN-101470441586
ISBN-139781470441586
eBay Product ID (ePID)23038683661
Product Key Features
Number of Pages608 Pages
Publication NameNumber Theory Revealed : a Masterclass
LanguageEnglish
Publication Year2019
SubjectGeneral
TypeTextbook
AuthorAndrew Granville
Subject AreaMathematics
FormatHardcover
Dimensions
Item Height0.6 in
Item Weight44 Oz
Item Length10 in
Item Width7 in
Additional Product Features
LCCN2019-029046
Dewey Edition23
IllustratedYes
Dewey Decimal512.7
Table Of ContentPreliminary chapter on induction; The Eulidean 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; The anatomy of integers; Counting integral and rational points on curves, modulo $p$; Combinatorial number theory; The $p$-adic numbers; Rational points on elliptic curve; Hints for exercises; Recommended further reading; Index.
SynopsisNumber Theory Revealed: A Masterclass acquaints enthusiastic students with the ''Queen of Mathematics''. The text offers 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 like the structure of Pascal's triangle mod $p$ and modern twists on traditional questions like the values represented by binary quadratic forms, the anatomy of integers, and elliptic curves. This Masterclass edition contains many additional chapters and appendices not found in Number Theory Revealed: An Introduction, highlighting beautiful developments and inspiring other subjects in mathematics (like algebra). This allows instructors to tailor a course suited to their own (and their students') interests. There are new yet accessible topics like the curvature of circles in a tiling of a circle by circles, the latest discoveries on gaps between primes, a new proof of Mordell's Theorem for congruent elliptic curves, and a discussion of the $abc$-conjecture including its proof for polynomials. About the Author: Andrew Granville is the Canada Research Chair in Number Theory at the University of Montreal and professor of mathematics at University College London. He has won several international writing prizes for exposition in mathematics, including the 2008 Chauvenet Prize and the 2019 Halmos-Ford Prize, and is the author of Prime Suspects (Princeton University Press, 2019), a beautifully illustrated graphic novel murder mystery that explores surprising connections between the anatomies of integers and of permutations.
LC Classification NumberQA241.G647 2019
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