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Elliptic Functions and Elliptic Curves de Patrick Du Val

Elliptic Functions and Elliptic Curves: London Mathematical Society Lecture Note Series, cartea 9

Autor Patrick Du Val
en Limba Engleză Paperback – aug 1973
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.
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Specificații

ISBN-13: 9780521200363
ISBN-10: 0521200369
Pagini: 256
Ilustrații: 1
Dimensiuni: 152 x 229 x 15 mm
Greutate: 0.38 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria London Mathematical Society Lecture Note Series

Locul publicării:Cambridge, United Kingdom

Cuprins

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.

Descriere

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