Classical Introduction to Modern Number Theory

ISBN-10: 038797329X

ISBN-13: 9780387973296

Edition: 2nd 1990 (Revised)

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Description: 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.

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Book details

List price: $94.95
Edition: 2nd
Copyright year: 1990
Publisher: Springer
Publication date: 8/1/1998
Binding: Hardcover
Pages: 394
Size: 6.50" wide x 9.75" long x 1.00" tall
Weight: 1.782
Language: English

Unique Factorization
Applications of Unique Factorization
Congruence
The Structure of U
Quadratic Reciprocity
Quadratic Gauss Sums
Finite Fields
Gauss and Jacobi Sums
Cubic and Biquadratic Reciprocity
Equations over Finite Fields
The Zeta Function
Algebraic Number Theory
Quadratic and Cyclotomic Fields
The Stickelberger Relation and the Eisenstein Reciprocity Law
Bernoulli Numbers
Dirichlet L-functions
Diophantine Equations
Elliptic Curves
The Mordell-Weil Theorem
New Progress in Arithmetic Geometry
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