Elliptic Functions and Elliptic Integrals
Seiten
1997
American Mathematical Society (Verlag)
978-0-8218-1346-1 (ISBN)
American Mathematical Society (Verlag)
978-0-8218-1346-1 (ISBN)
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
Arithmetic of cubic curves
Algebraic equations
Theta functions and solutions of quintic equations
| Erscheint lt. Verlag | 18.8.2005 |
|---|---|
| Reihe/Serie | Translations of Mathematical Monographs ; 170 |
| Verlagsort | Providence |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 0-8218-1346-3 / 0821813463 |
| ISBN-13 | 978-0-8218-1346-1 / 9780821813461 |
| Zustand | Neuware |
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