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  • © 2008

The 1-2-3 of Modular Forms

Lectures at a Summer School in Nordfjordeid, Norway

  • Outstanding lectures by outstanding mathematicians including Don Zagier
  • Includes supplementary material: sn.pub/extras

Part of the book series: Universitext (UTX)

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Table of contents (4 chapters)

  1. Front Matter

    Pages I-X
  2. Hilbert Modular Forms and Their Applications

    • Jan Hendrik Bruinier
    Pages 105-179
  3. Siegel Modular Forms and Their Applications

    • Gerard van der Geer
    Pages 181-245
  4. Back Matter

    Pages 263-266

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)

Authors, Editors and Affiliations

  • Department of Mathematics, University of Oslo, Oslo, Norway

    Kristian Ranestad

  • FachbereichMathematik, Technische Universität Darmstadt, Darmstadt, Germany

    Jan Hendrik Bruinier

  • Korteweg-de Vries Instituut, Universiteit van Amsterdam, Amsterdam, Netherlands

    Gerard Geer

  • Mathematisches Institut, Universität Bonn, Bonn, Germany

    Günter Harder

  • Max-Planck-Institut für Mathematik, Bonn, Germany

    Günter Harder, Don Zagier

  • Collège de France, Paris Cedex 05, France

    Don Zagier

Bibliographic Information

  • Book Title: The 1-2-3 of Modular Forms

  • Book Subtitle: Lectures at a Summer School in Nordfjordeid, Norway

  • Authors: Jan Hendrik Bruinier, Gerard Geer, Günter Harder, Don Zagier

  • Editors: Kristian Ranestad

  • Series Title: Universitext

  • DOI: https://doi.org/10.1007/978-3-540-74119-0

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2008

  • Softcover ISBN: 978-3-540-74117-6Published: 29 February 2008

  • eBook ISBN: 978-3-540-74119-0Published: 10 February 2008

  • Series ISSN: 0172-5939

  • Series E-ISSN: 2191-6675

  • Edition Number: 1

  • Number of Pages: X, 266

  • Number of Illustrations: 2 b/w illustrations

  • Topics: Number Theory, Algebra, Algebraic Geometry, Theoretical, Mathematical and Computational Physics

Buy it now

Buying options

eBook USD 64.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 84.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access