Modular Forms: A Classical and Computational Introduction | 
 enlarge | Author: Lloyd Kilford
Publisher: Imperial College Press
Category: Book
List Price: $54.00
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Sales Rank: 2238756
Media: Hardcover
Pages: 236
Number Of Items: 1
Shipping Weight (lbs): 1.3
Dimensions (in): 9 x 6.2 x 0.9
ISBN: 1848162138
Dewey Decimal Number: 512
EAN: 9781848162136
Publication Date: August 11, 2008
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Product Description
This book presents a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms, including modular functions and the theory of Hecke operators. It also includes applications of modular forms to such diverse subjects as the theory of quadratic forms, the proof of Fermat s last theorem and the approximation of pi. It provides a balanced overview of both the theoretical and computational sides of the subject, allowing a variety of courses to be taught from it. Contents: Historical Overview; Introduction to Modular Forms; Results on Finite-Dimensionality; The Arithmetic of Modular Forms; Applications of Modular Forms; Modular Forms in Characteristic p; Computing with Modular Forms; Appendices:; MAGMA Code for Classical Modular Forms; SAGE Code for Classical Modular Forms; Hints and Answers to Selected Exercises.
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