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OverviewThis 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 DetailsAuthor: Fernando Rodriguez Villegas (Department of Mathematics, University of Texas at Austin)Publisher: Oxford University Press Imprint: Oxford University Press Volume: 13 Dimensions: Width: 15.50cm , Height: 1.40cm , Length: 23.20cm Weight: 0.358kg ISBN: 9780199227303ISBN 10: 0199227306 Pages: 232 Publication Date: 24 May 2007 Audience: College/higher education , Tertiary & Higher Education Format: Paperback Publisher's Status: Active Availability: To order  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 ContentsPreface 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 IndexReviews...easily readable...The book can be warmly recommended not only to those with a preference for number theory but even for the general readership in pure mathematics or supervisors looking for creative examples for further motivation of scientific computations. * EMS Newsletter * ...easily readable...The book can be warmly recommended not only to those with a preference for number theory but even for the general readership in pure mathematics or supervisors looking for creative examples for further motivation of scientific computations. EMS Newsletter Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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