Elliptic Functions and Elliptic Curves (London Mathematical Society Lecture Note Series, Series Number 9)

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. Based On Lectures Given At The University College, London From 1964-1969. Bibliography: P. 241-243. Cover Title Copyright Contents Preface 1. Introductory 2. The 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 Plane cubic 13. Elliptic quartic curves Historical Note Bibliography Index