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				Elliptic Curves (Graduate Texts in Mathematics S. v. 111), 2nd Ed 508 pages - hardback Springer-Verlag New York Inc. - (isbn 0-387-95490-2) Jan. 2004
	Price:			98,33 EUR
	Author(s):			Husemoller, Dale
	Description:			This book is an introduction to the theory of elliptic curves, ranging from its most elementary aspects to current research. The first part, which grew out of Tate's Haverford lectures, covers the elementary arithmetic theory of elliptic curves over the rationals. The next two chapters recast the arguments used in the proof of the Mordell theorem into the context of Galois cohomology and descent theory. This is followed by three chapters on the analytic theory of elliptic curves, including such topics as elliptic functions, theta functions, and modular functions. Next, the theory of endomorphisms and elliptic curves over infinite and local fields are discussed. The book concludes with three chapters surveying recent results in the arithmetic theory, especially those related to the conjecture of the Birch and Swinnerton-Dyer. This new edition contains three new chapters and the addition of two appendices by Stefan Theisen and Otto Forster. Dale Husemoller is a member of the faculty at the Max Planck Institute of Mathematics.
	Contents List:			Introduction to Rational Points on Plane Curves * Elementary Properties of the Chord-Tangent Group Law on a Cubic Curve * Plane Algebraic Curves * Factorial Rings and Elimination Theory * Elliptic Curves and Their Isomorphism * Families of Elliptic Curves and Geometric Properties of Torsion Points * Reduction mod p and Torsion Points * Proof of Mordell's Finite Generation Theorem * Galois Cohomology and Isomorphism Classification of Elliptic Curves over Arbitrary Fields * Descent and Galois Cohomology * Elliptic and Hypergeometric Functions * Theta Functions * Modular Functions * Endomorphisms of Elliptic Curves * Elliptic Curves over Finite Fields * Elliptic Curves over Local Fields * Elliptic Curves over Global Fields and l-adic Representations * L-Functions of an Elliptic Curve and Its Analytic Continuation * Remarks on the Birch and Swinnerton-Dyer Conjecture * Remarks on the Modular Curves Conjecture and Fermat's Last Theorem * Higher Dimensional Analogs of Elliptic Curves: Calabi-Yau Varieties * Families of Elliptic Curves * Appendix I: Calabi-Yau Manifolds and String Theory * Appendix II: Elliptic Curves in Algorithmic Number Theory * Appendix III: Guide to the Exercises.
	Illustrations etc.:			42 illustrations
	Weight:			839 g
	Dimensions:			230
	Publisher:			Springer-Verlag New York Inc.
				Springer-Verlag