Elliptic Functions and Elliptic Curves

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.

Preface
Introductory
Weierstrass functions
Invariants and the modular function
The Jacobi functions
The Riemann surface and the integral of the first kind
Quasi-elliptic functions and integrals of the second and third kinds
The ternary elliptic functions
Transformations and modular relations
Trigonometric expansions
The theta functions
Elliptic curves
The plan curbic
Elliptic quartic curves
Historical note
Bibliography
Index
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Elliptic Functions and Elliptic Curves

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