1. First ideas: complex manifolds, Riemann surfaces, and projective curves; 2. Elliptic functions and elliptic integrals; 3. Theta functions; 4. Modular groups and molecular functions; 5. Ikosaeder and the quintic; 6. Imaginary quadratic fields; 7. The arithmetic of elliptic fields.

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An introductory 1997 account in the style of the original discoverers, treating the fundamental themes even-handedly.

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'The book is a welcome extension of the existing literature about this important topic ... It is recommended to students of mathematics and physics interested in the applications of the theory and the theory itself.' European Mathematical Society 'With an easy mind the reviewer can recommend this book to those who want to become acquainted with the subject and to those who look for a book which can serve as guide for a course on the subject ... the exemplary way in which Elliptic Curves is written, made reviewing a pleasure.' Niew Archief voor Wiskunde

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