Overview

This book grew out of three series of lectures given at the summer school on ""Modular Forms and their Applications"" at the Sophus Lie Conference Center in Nordfjordeid in June 2004. The first series treats the classical one-variable theory of elliptic modular forms. The second series presents the theory of Hilbert modular forms in two variables and Hilbert modular surfaces. The third series gives an introduction to Siegel modular forms and discusses a conjecture by Harder. It also contains Harder's original manuscript with the conjecture. Each part treats a number of beautiful applications.

Full Product Details

Author:   Jan Hendrik Bruinier ,  Kristian Ranestad ,  Gerard van der Geer ,  Günter Harder
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2008 ed.
Dimensions:   Width: 15.50cm , Height: 1.40cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9783540741176

ISBN 10:   3540741178
Pages:   266
Publication Date:   29 February 2008
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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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)

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