Patrick Du Val

Elliptic Functions and Elliptic Curves

Herausgeber: Cassels, J. W. S.; Hitchin, N. J.

• Broschiertes Buch

Produktbeschreibung

A comprehensive treatment of elliptic functions is linked by these notes to a study of their application to elliptic curves.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 256
• Erscheinungstermin: 29. Dezember 2008
• Englisch
• Abmessung: 229mm x 152mm x 15mm
• Gewicht: 421g
• ISBN-13: 9780521200363
• ISBN-10: 0521200369
• Artikelnr.: 26729232

Inhaltsangabe

Preface
1. Introductory
2. Weierstrass functions
3. Invariants and the modular function
4. The Jacobi functions
5. The Riemann surface and the integral of the first kind
6. Quasi-elliptic functions and integrals of the second and third kinds
7. The ternary elliptic functions
8. Transformations and modular relations
9. Trigonometric expansions
10. The theta functions
11. Elliptic curves
12. The plan curbic
13. Elliptic quartic curves
Historical note
Bibliography
Index.