Experimental Number Theory

Author:   Fernando Rodriguez Villegas (Department of Mathematics, University of Texas at Austin)
Publisher:   Oxford University Press
Volume:   13
ISBN:  

9780198528227


Pages:   232
Publication Date:   24 May 2007
Format:   Hardback
Availability:   To order   Availability explained
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Experimental Number Theory


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Overview

This graduate text, based on years of teaching experience, is intended for first or second year graduate students in pure mathematics. The main goal of the text is to show how the computer can be used as a tool for research in number theory through numerical experimentation. The book contains many examples of experiments in binary quadratic forms, zeta functions of varieties over finite fields, elementary class field theory, elliptic units, modular forms, along with exercises and selected solutions. Sample programs are written in GP, the scripting language for the computational package PARI, and are available for download from the author's website.

Full Product Details

Author:   Fernando Rodriguez Villegas (Department of Mathematics, University of Texas at Austin)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Volume:   13
Dimensions:   Width: 16.00cm , Height: 1.60cm , Length: 24.00cm
Weight:   0.480kg
ISBN:  

9780198528227


ISBN 10:   0198528221
Pages:   232
Publication Date:   24 May 2007
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Hardback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

Preface 1: Basic examples 2: Reciprocity 3: Positive definite binary quadratic forms 4: Sequences 5: Combinatorics 6: p-adic numbers 7: Polynomials 8: Remarks on selected exercises References Index

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