A Classical Introduction to Modern Number Theory by Michael Rosen, Kenneth Ireland (Hardcover, 1998)

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1 Unique Factorization. - 2 Applications of Unique Factorization. - 4 The Structure of U(?. - 5 Quadratic Reciprocity. - 6 Quadratic Gauss Sums. - 7 Finite Fields. - 8 Gauss and Jacobi Sums. - 9 Cubic and Biquadratic Reciprocity. ).

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Bridging the gap between elementary number theory and the systematic study of advanced topics, A Classical Introduction to Modern Number Theory is a well-developed and accessible text that requires only a familiarity with basic abstract algebra. Historical development is stressed throughout, along with wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. An extensive bibliography and many challenging exercises are also included. This second edition has been corrected and contains two new chapters which provide a complete proof of the Mordell-Weil theorem for elliptic curves over the rational numbers, and an overview of recent progress on the arithmetic of elliptic curves.

Product Identifiers

PublisherSpringer-Verlag New York Inc.
ISBN-139780387973296
eBay Product ID (ePID)94533037

Product Key Features

Publication NameA Classical Introduction to Modern Number Theory
SubjectMathematics
Publication Year1998
TypeTextbook
FormatHardcover
LanguageEnglish
AuthorMichael Rosen, Kenneth Ireland
Number of Pages394 Pages

Dimensions

Item Height235 mm
Item Weight817 g
Item Width155 mm
Volume84

Additional Product Features

Country/Region of ManufactureUnited States
Title_AuthorMichael Rosen, Kenneth Ireland
Series TitleGraduate Texts in Mathematics

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