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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.
Nákup knihy
Elliptic Functions, Serge Lang
- Jazyk
- Rok vydania
- 2011
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- Titul
- Elliptic Functions
- Jazyk
- anglicky
- Autori
- Serge Lang
- Vydavateľ
- Springer New York
- Rok vydania
- 2011
- Väzba
- mäkká
- Počet strán
- 344
- ISBN13
- 9781461291428
- Kategórie
- Matematika
- Anotácia
- 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.