Elliptic Functions 1987. Softcover Edition Contributor(s): Lang, Serge (Author) |
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ISBN: 1461291429 ISBN-13: 9781461291428 Publisher: Springer OUR PRICE: $94.99 Product Type: Paperback - Other Formats Published: September 2011 |
Additional Information |
BISAC Categories: - Mathematics | Calculus - Mathematics | Mathematical Analysis |
Dewey: 515.983 |
Series: Graduate Texts in Mathematics |
Physical Information: 0.72" H x 6.14" W x 9.21" (1.07 lbs) 328 pages |
Descriptions, Reviews, Etc. |
Publisher Description: Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and algebraic-arithmetic theory has been at the center of mathematics since the early part of the nineteenth century. The book is divided into four parts. In the first, Lang presents the general analytic theory starting from scratch. Most of this can be read by a student with a basic knowledge of complex analysis. The next part treats complex multiplication, including a discussion of Deuring's theory of l-adic and p-adic representations, and elliptic curves with singular invariants. Part three covers curves with non-integral invariants, and applies the Tate parametrization to give Serre's results on division points. The last part covers theta functions and the Kronecker Limit Formula. Also included is an appendix by Tate on algebraic formulas in arbitrary charactistic. |