Elliptic Functions and Elliptic Curves

Klappentext A comprehensive treatment of elliptic functions is linked by these notes to a study of their application to elliptic curves. Zusammenfassung A comprehensive treatment of elliptic functions is linked by these notes to a study of their application to elliptic curves. The exposition is clear and logically carries themes from earlier through to later topics. this enthusiastic work of scholarship is made complete with the inclusion of some interesting historical details and a very comprehensive bibliography. Inhaltsverzeichnis 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.

Dettagli sul prodotto

• Autori: Patrick Du Val, Patrick Duval
• Con la collaborazione di: J. W. S. Cassels (Editore), N. J. Hitchin (Editore)
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 02.08.1973
• EAN: 9780521200363
• ISBN: 978-0-521-20036-3
• Pagine: 256
• Serie: London Mathematical Society Le
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Analisi