Elliptic Functions and Modular Forms (Paperback)

Max Koecher

ISBN 10: 3662712237 / ISBN 13: 9783662712238

Published by Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 2025

About this Item

Paperback. 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 Weierstrasss 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. The theory of elliptic functions and modular forms is rich and storied, though it has a reputation for difficulty. Following Weierstrasss approach to elliptic functions, they also cover elliptic curves and complex multiplication. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Seller Inventory # 9783662712238

Bibliographic Details

• Title: Elliptic Functions and Modular Forms (Paperback)
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin
• Publication Date: 2025
• Language: English
• ISBN 10: 3662712237
• ISBN 13: 9783662712238
• Binding: Paperback
• Condition: new

About this title

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.

About the Author

Max Koecher (born 1924) studied mathematics and physics at the University of Göttingen. He initially worked on modular forms of several variables, leaving his mark with a well-known principle bearing his name. Later on, he concentrated on Jordan algebras and in particular their connections with bounded symmetric domains. In 1970, he was appointed to Hans Petersson's chair at the University of Münster. He retired in 1989 and passed away shortly thereafter.

Aloys Krieg (born 1955) studied mathematics at the University of Münster. He was the last PhD student of Max Koecher. He has mainly worked on modular forms of several variables. In 1993, he was appointed to Paul Butzer's chair at RWTH Aachen University, where he served as Vice President for Education for 16 years. He retired in 2024.