A comprehensive treatment of elliptic functions is linked by these notes to a study of their application to elliptic curves. This approach provides geometers with the opportunity to acquaint themselves with aspects of their subject virtually ignored by other texts. 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.
Reihe
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Produkt-Hinweis
Illustrationen
Worked examples or Exercises
Maße
Höhe: 229 mm
Breite: 152 mm
Dicke: 16 mm
Gewicht
ISBN-13
978-0-521-20036-3 (9780521200363)
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Schweitzer Klassifikation
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.
