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Table of contents (6 chapters)
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Front Matter
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Back Matter
About this book
Reviews
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 cliché 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)
Authors and Affiliations
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Dept. Mathematics, University of Washington, Seattle, U.S.A.
William Stein
Bibliographic Information
Book Title: Elementary Number Theory: Primes, Congruences, and Secrets
Book Subtitle: A Computational Approach
Authors: William Stein
Series Title: Undergraduate Texts in Mathematics
DOI: https://doi.org/10.1007/b13279
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2009
Hardcover ISBN: 978-0-387-85524-0
Softcover ISBN: 978-1-4419-2752-1
eBook ISBN: 978-0-387-85525-7
Series ISSN: 0172-6056
Series E-ISSN: 2197-5604
Edition Number: 1
Number of Pages: X, 168
Number of Illustrations: 45 b/w illustrations
Topics: Number Theory, Algebraic Geometry