Elliptic Curves
Function Theory, Geometry, Arithmetic
£52.99
- Authors:
- Henry McKean, New York University
- Victor Moll, Tulane University, Louisiana
- Date Published: October 1999
- availability: Available
- format: Paperback
- isbn: 9780521658171
£
52.99
Paperback
Other available formats:
Hardback
Looking for an inspection copy?
This title is not currently available on inspection
-
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.
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
'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
See more reviews'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
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: October 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.
Related Books
related journals
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
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.
×