More about Elliptic Functions and Modular Forms

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Book synopsis

The theory of elliptic functions and modular forms is rich and storied, though it has a reputation for difficulty. In this textbook, the authors successfully bridge foundational concepts and advanced material. Following Weierstrass s approach to elliptic functions, they also cover elliptic curves and complex multiplication. The sections on modular forms, which can be read independently, include discussions of Hecke operators and Dirichlet series. Special emphasis is placed on theta series, with some advanced results included. With detailed proofs and numerous exercises, this book is well-suited for self-study or use as a reference. A companion website provides videos and a discussion forum on the topic.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Elliptic Functions and Modular Forms
• Author: Max Koecher, Aloys Krieg
• Language: English
• Binding: Paperback
• Number of pages: 364
• EAN: 9783662712238
• ID: 48312811
• Publisher: Springer, Berlin
• Weight: 712 g
• Dimensions: 235 × 155 mm
• Date of publishing: 01. June 2025

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