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The book explores the relationship between elliptic functions and elliptic curves, a key area of mathematics since the 19th century. It is structured into four parts: the first introduces the analytic theory suitable for those with basic complex analysis knowledge; the second delves into complex multiplication and related theories; the third focuses on curves with non-integral invariants, utilizing the Tate parametrization; and the final part discusses theta functions and the Kronecker Limit Formula, complemented by an appendix on algebraic formulas in arbitrary characteristic.
Buchkauf
Elliptic Functions, Serge Lang
- Sprache
- Erscheinungsdatum
- 2011
- product-detail.submit-box.info.binding
- (Paperback)
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- Titel
- Elliptic Functions
- Sprache
- Englisch
- Autor*innen
- Serge Lang
- Verlag
- Springer New York
- Erscheinungsdatum
- 2011
- Einband
- Paperback
- Seitenzahl
- 344
- ISBN13
- 9781461291428
- Kategorie
- Mathematik
- Beschreibung
- The book explores the relationship between elliptic functions and elliptic curves, a key area of mathematics since the 19th century. It is structured into four parts: the first introduces the analytic theory suitable for those with basic complex analysis knowledge; the second delves into complex multiplication and related theories; the third focuses on curves with non-integral invariants, utilizing the Tate parametrization; and the final part discusses theta functions and the Kronecker Limit Formula, complemented by an appendix on algebraic formulas in arbitrary characteristic.