Classical Introduction to Modern Number Theory

Name: Classical Introduction to Modern Number Theory
Price: 57.78 USD
Availability: InStock
ISBN: 9780387973296

ISBN-10: 038797329X

ISBN-13: 9780387973296

Edition: 2nd 1990 (Revised)

Authors: Kenneth Ireland, Michael I. Rosen, J. H. Ewing, F. W. Gehring, P. R. Halmos

List price: $94.95

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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…

Book details

List price: $94.95
Edition: 2nd
Copyright year: 1990
Publisher: Springer New York
Publication date: 8/1/1998
Binding: Hardcover
Pages: 394
Size: 6.10" wide x 9.25" long x 1.00" tall
Weight: 1.848




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