Modular Forms 2024 pdf epub mobi 电子书

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发表于2024-09-25

Modular Forms 2024 pdf epub mobi 电子书

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出版者:Imperial College Press

作者:Lloyd Kilford

出品人:

页数:236

译者:

出版时间:2008-08-11

价格:USD 68.00

装帧:Hardcover

isbn号码:9781848162136

丛书系列:

图书标签: 模形式计算数论数学 Spy

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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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