Other available formats:
Looking for an examination copy?
This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact email@example.com providing details of the course you are teaching.
The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, whose masters were Abel, Gauss, Jacobi, and Legendre. This 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 a 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. The many exercises with hints scattered throughout the text give the reader a glimpse of further developments. 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.Read more
- Very concrete approach; should appeal to physicists as well as mathematicians
- Requires only a first acquaintance with complex function theory
- Ideal introduction to the subject for graduate students and researchers in mathematics and physics
Reviews & endorsements
"...undergraduates will find that McKean and Moll's book...offers more diverse viewpoints [than other books on elliptic curves]. Highly recommended."
ChoiceSee more reviews
"...this is a wonderful book that should reward those who have the background for it with immense joy and insight."
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: August 1999
- format: Paperback
- isbn: 9780521658171
- length: 298 pages
- dimensions: 227 x 150 x 17 mm
- weight: 0.39kg
- availability: Available
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.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email firstname.lastname@example.orgRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×
Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.×