Elliptic Functions and Elliptic Integrals

V.V. Prasolov, Yu P. Solovyev (Autoren)

Buch | Hardcover

185 Seiten

1997
American Mathematical Society (Verlag)
9780821805879 (ISBN)

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Discusses the geometry and arithmetic of elliptic curves. This book 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.

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.

Geometry of cubic curves Elliptic functions Arcs of curves and elliptic integrals Abel's theorem on division of lemniscate Algebraic equations Theta functions and solutions of quintic equations Bibliography Index.

Erscheint lt. Verlag	1.1.1998
Reihe/Serie	Translations of Mathematical Monographs
Verlagsort	Providence
Sprache	englisch
Gewicht	580 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-13	9780821805879 / 9780821805879
Zustand	Neuware