Modular Forms: A Classical and Computational Introduction Lloyd James Kilford

ISBN: 9781299740600

Published: May 10th 2014

ebook

237 pages


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Modular Forms: A Classical and Computational Introduction  by  Lloyd James Kilford

Modular Forms: A Classical and Computational Introduction by Lloyd James Kilford
May 10th 2014 | ebook | PDF, EPUB, FB2, DjVu, AUDIO, mp3, ZIP | 237 pages | ISBN: 9781299740600 | 8.44 Mb

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 formsMoreThis 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 Fermats 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 OverviewIntroduction to Modular FormsResults on Finite-DimensionalityThe Arithmetic of Modular FormsApplications of Modular FormsModular Forms in Characteristic pComputing with Modular FormsAppendices: MAGMA Code for Classical Modular FormsSAGE Code for Classical Modular FormsHints and Answers to Selected ExercisesReadership: Academics, researchers and graduate students in number theory and computational mathematics.



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