Author: Viktor Prasolov and Yuri Solovyev
Publisher: American Mathematical Society
Keywords: elliptic, monographs, mathematical, integrals, functions, translations
Number of Pages: 185
Published: 1997-09-16
List price: $98.00
ISBN-10: 0821805878
ISBN-13: 9780821805879

This book is devoted to the geometry and arithmetic of elliptic curves and to elliptic functions with applications to algebra and number theory. It includes modern interpretations of some famous classical algebraic theorems such as Abel’s theorem on the lemniscate and Hermite’s solution of the fifth degree equation by means of theta functions. Suitable as a text, the book is self-contained and assumes as prerequisites only the standard one-year courses of algebra and analysis.

Author: J. S. Milne
Publisher: BookSurge Publishing
Keywords: curves, elliptic
Number of Pages: 246
Published: 2006-11-20
List price: $17.00
ISBN-10: 1419652575
ISBN-13: 9781419652578

This book uses the beautiful theory of elliptic curves to introduce the reader to some of the deeper aspects of number theory. It assumes only a knowledge of the basic algebra, complex analysis, and topology usually taught in advanced undergraduate or first-year graduate courses. Reviews Indeed, the book is affordable (in fact, the most affordable of all references on the subject), but also a high quality work and a complete introduction to the rich theory of the arithmetic of elliptic curves, with numerous examples and exercises for the reader, many interesting remarks and an updated

Author: Anthony W. Knapp
Publisher: Princeton University Press
Keywords: curves, elliptic
Number of Pages: 448
Published: 1992-10-05
List price: $85.00
ISBN-10: 0691085595
ISBN-13: 9780691085593

An elliptic curve is a particular kind of cubic equation in two variables whose projective solutions form a group. Modular forms are analytic functions in the upper half plane with certain transformation laws and growth properties. The two subjects--elliptic curves and modular forms--come together in Eichler-Shimura theory, which constructs elliptic curves out of modular forms of a special kind. The converse, that all rational elliptic curves arise this way, is called the Taniyama-Weil Conjecture and is known to imply Fermat’s Last Theorem. Elliptic curves and the modeular forms in the

Author: Richard F. Ba
Publisher: Springer
Keywords: applications, probability, operators, elliptic, diffusions
Number of Pages: 248
Published: 1997-11-25
List price: $159.00
ISBN-10: 0387983155
ISBN-13: 9780387983158

This book discusses the interplay of diffusion processes and partial differential equations with an emphasis on probabilistic methods in PDE. It begins with stochastic differential equations, the probabilistic machinery needed to study PDE. After spending three chapters on probabilistic representations of solutions for PDE, regularity of solutions and one dimensional diffusions, the author discusses in depth two main types of second order linear differential operators: non-divergence operators and divergence operators, including topics such as the Harnack inequality of Krylov-Safonov for non-d

Author: John Sullivan
Publisher: A K Peters Ltd
Keywords: geometry, methods, parabolic, elliptic
Number of Pages: 203
Published: 1996-09
List price: $69.00
ISBN-10: 1568810644
ISBN-13: 9781568810645

Author: Michael Rosing
Publisher: Manning Publications
Keywords: cryptography, curve, elliptic, implementing
Number of Pages: 338
Published: 1998-01-01
List price: $47.95
ISBN-10: 1884777694
ISBN-13: 9781884777691

How to develop cryptosystems that utilize minimal resources to get maximum security.

Authors:I. Blake, G. Seroussi, N. Smart,
Publisher: Cambridge University Press
Keywords: cryptography, curves, elliptic
Number of Pages: 204
Published: 2000-01-15
List price: $68.00
ISBN-10: 0521653746
ISBN-13: 9780521653749

In the past few years elliptic curve cryptography has moved from a fringe activity to a major system in the commercial world. This timely work summarizes knowledge gathered at Hewlett-Packard over a number of years and explains the mathematics behind practical implementations of elliptic curve systems. Since the mathematics is advanced, a high barrier to entry exists for individuals and companies new to this technology. Hence, this book will be invaluable not only to mathematicians but also to engineers and computer scientists who want to actually implement such systems.