eBook - ePub

Modular Forms

Name: Modular Forms
Author: L J P Kilford

A Classical and Computational Introduction

L J P Kilford,

252 pages
English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

Modular Forms

A Classical and Computational Introduction

L J P Kilford,

About this book

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 π. 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.

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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
The Future of Modular Forms?
Modular Forms Projects
Appendices:
- Magma Code for Classical Modular Forms
- Sage Code for Classical Modular Forms
- Hints and Answers to Selected Exercises

Readership: Graduate students studying or taking a course in modular forms.
Key Features:

Covers the computational side together with the theory
Has a wide variety of exercises
Historical asides and references to modular forms in mathematical culture which help ground the subject and motivate student interest

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Yes, you can access Modular Forms by L J P Kilford in PDF and/or ePUB format, as well as other popular books in Mathematics & Complex Analysis. We have over one million books available in our catalogue for you to explore.