Elliptic Curves
Function Theory, Geometry, Arithmetic
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27 835 Ft
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Estimated delivery time: In stock at the publisher, but not at Prospero's office. Delivery time approx. 3-5 weeks.
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Product details:
- Edition number New ed
- Publisher Cambridge University Press
- Date of Publication 13 August 1999
- ISBN 9780521658171
- Binding Paperback
- No. of pages298 pages
- Size 227x150x17 mm
- Weight 390 g
- Language English 0
Categories
Short description:
An introductory 1997 account in the style of the original discoverers, treating the fundamental themes even-handedly.
MoreLong description:
The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, originated by Abel, Gauss, Jacobi, and Legendre. This 1997 book presents an introductory account of the subject in the style of the original discoverers, with references to and comments about more recent and modern developments. It combines three of the fundamental themes of mathematics: complex function theory, geometry, and arithmetic. After an informal preparatory chapter, the book follows an historical path, beginning with the work of Abel and Gauss on elliptic integrals and elliptic functions. This is followed by chapters on theta functions, modular groups and modular functions, the quintic, the imaginary quadratic field, and on elliptic curves. Requiring only a first acquaintance with complex function theory, this book is an ideal introduction to the subject for graduate students and researchers in mathematics and physics, with many exercises with hints scattered throughout the text.
'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
Table of Contents:
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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