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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: 16.00cm , Height: 1.60cm , Length: 24.00cm Weight: 0.480kg ISBN: 9780198528227ISBN 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 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 IndexReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |