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Universitext

The 1-2-3 of Modular Forms

Lectures at a Summer School in Nordfjordeid, Norway

Authors: Bruinier, J.H., van der Geer, G., Harder, G., Zagier, D.

Editors: Ranestad, Kristian (Ed.)

  • Each part treats a number of beautiful applications
  • Together they form a comprehensive survey for the novice and a useful reference for a broad group of mathematicians
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eBook 20,22 €
41,64 € (listprice)
price for Spain (gross)
valid through June 30, 2017
  • ISBN 978-3-540-74119-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 25,99 €
51,95 € (listprice)
price for Spain (gross)
valid through June 30, 2017
  • ISBN 978-3-540-74117-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Reviews

From the reviews:

"Zagier … gives 28 stunning applications, starting with class numbers, ranging through drums of ‘unhearable’ shape, percolation, nonlinear differential equations, and ending with primes that equal the sum of two cubes. … Summing Up: Highly recommended. Upper-division undergraduate through professional collections." (D. V. Feldman, Choice, Vol. 46 (7), March, 2009)

"The authors of The 1-2-3 of Modular Forms succeed in providing a … thorough account of the theory of modular forms in various guises and applications, discussing in more detail the topics mentioned here as well as many more. Undoubtedly, due to both its breadth and readability, this book will be a useful source for mathematicians, both novice and expert, wishing to read more about modular forms and a beautiful theory." (Amanda Folsom, Bulletin of the American Mathematical Society, Vol. 46 (3), July, 2009)

“If you ever wanted to gain a general understanding of modular forms … then you should check out The 1-2-3 of Modular Forms. … Each set of lectures includes standard introductory material as well as concrete examples and applications. … One could use this as a way to start a graduate student working on modular forms … . Whether you are looking for a nice way to begin your study … or are already familiar with them, this is a book that you will enjoy.” (Suzanne Caulk, The Mathematical Association of America, September, 2010)


Table of contents (4 chapters)

  • Elliptic Modular Forms and Their Applications

    Zagier, Don

    Pages 1-103

    Preview Buy Chapter 30,19 €
  • Hilbert Modular Forms and Their Applications

    Bruinier, Jan Hendrik

    Pages 105-179

    Preview Buy Chapter 30,19 €
  • Siegel Modular Forms and Their Applications

    Geer, Gerard

    Pages 181-245

    Preview Buy Chapter 30,19 €
  • Congruence Between a Siegel and an Elliptic Modular Form

    Harder, Günter

    Pages 247-262

    Preview Buy Chapter 30,19 €

Buy this book

eBook 20,22 €
41,64 € (listprice)
price for Spain (gross)
valid through June 30, 2017
  • ISBN 978-3-540-74119-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 25,99 €
51,95 € (listprice)
price for Spain (gross)
valid through June 30, 2017
  • ISBN 978-3-540-74117-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
The 1-2-3 of Modular Forms
Book Subtitle
Lectures at a Summer School in Nordfjordeid, Norway
Authors
Editors
  • Kristian Ranestad
Series Title
Universitext
Copyright
2008
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-74119-0
DOI
10.1007/978-3-540-74119-0
Softcover ISBN
978-3-540-74117-6
Series ISSN
0172-5939
Edition Number
1
Number of Pages
X, 266
Number of Illustrations and Tables
2 b/w illustrations
Topics