Modular Forms is 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 various subjects, such as the theory of quadratic forms, the proof of Fermat's Last Theorem and the approximation of ?. The text gives a balanced overview of both the theoretical and computational sides of its subject, allowing a variety of courses to be taught from it.
This second edition has been revised and updated. New material on the future of modular forms as well as a chapter about longer-form projects for students has also been added.
By:
Lloyd James Peter Kilford (Univ Of Bristol Uk) Imprint: Imperial College Press Country of Publication: United Kingdom Edition: 2nd Revised edition Dimensions:
Height: 231mm,
Width: 155mm,
Spine: 18mm
Weight: 499g ISBN:9781783265459 ISBN 10: 1783265450 Pages: 252 Publication Date:12 March 2015 Audience:
College/higher education
,
Further / Higher Education
Format:Hardback Publisher's Status: Active
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; The Future of Modular Forms; Appendices on MAGMA Code for Classical Modular Forms; SAGE Code for Classical Modular Forms, Hints and Answers to the Exercises;