Elliptic Curves

Texte du rabat

Reissued with a new Foreword, this book presents an introductory account of elliptical curves. It combines three of the fundamental themes of mathematics: complex function theory, geometry, and arithmetic. An ideal introduction for graduate students and researchers in mathematics and physics, including exercises throughout.

Contenu

Foreword: Preface; 1. First ideas: complex manifolds, Riemann surfaces, and projective curves; 2. Elliptic integrals and functions; 3. Theta functions; 4. Modular groups and modular functions; 5. Ikosaeder and the quintic; 6. Imaginary quadratic number fields; 7. Arithmetic of elliptic curves; References; Index.