Elementary Number Theory: Primes, Congruences, and Secrets

A Computational Approach

AvWilliam Stein

Inbunden, Engelska, 2008

Del i serien Undergraduate Texts in Mathematics

645 kr

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Beskrivning

In the 1980s and 1990s, elliptic curves revolutionized number theory, providing striking new insights into the congruent number problem, primality testing, publ- key cryptography, attacks on public-key systems, and playing a central role in Andrew Wiles’ resolution of Fermat’s Last Theorem.

Produktinformation

Utgivningsdatum:2008-12-03
Mått:155 x 235 x 16 mm
Vikt:428 g
Format:Inbunden
Språk:Engelska
Serie:Undergraduate Texts in Mathematics
Antal sidor:168
Förlag:Springer-Verlag New York Inc.
ISBN:9780387855240

Utforska kategorier

Talteori inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik

Recensioner i media

From the reviews: "This one treats topics that have become standard in recent years ... and it has exercises with selected solutions. ... it gives the students a tool to do calculations that illustrate even the most abstract concepts, and, simultaneously, introduces them to an open source software that can later be applied profitably for studying research problems. ... introducing the reader to a powerful software system." (Franz Lemmermeyer, Zentralblatt MATH, Vol. 1155, 2009) "The cliche that number theory, ever the purest mathematics, now yields very practical applications barely tells the story. Teach undergraduate number theory today, and students demand to hear about public-key cryptography and related technologies. ... Stein (Univ. of Washington) serves undergraduates well by ... opening the way by intimating their power. ... he frames the sophisticated Birch and Swinnerton-Dyer conjecture as the new canonical challenge for the future. Summing Up: Recommended. All undergraduates students, professionals, and general readers." (D. V. Feldman, Choice, Vol. 47 (2), October, 2009) "This book is an introduction to elementary number theory with a computational flavor. ... Many numerical examples are given throughout the book using the Sage mathematical software. The text is aimed at an undergraduate student with a basic knowledge of groups, rings and fields. Each chapter concludes with several exercises." (Samuel S. Wagstaff Jr., Mathematical Reviews, Issue 2009 i)