Experimental Number Theory
By (author) Fernando Rodriguez Villegas
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Experimental Number Theory by Fernando Rodriguez Villegas
Book DescriptionThis 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.
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Book DetailsISBN: 9780198528227
(240mm x 160mm x 16mm)
Imprint: Oxford University Press
Publisher: Oxford University Press
Publish Date: 24-May-2007
Country of Publication: United Kingdom
Books By Author Fernando Rodriguez Villegas
Experimental Number Theory, Paperback (May 2007)» View all books by Fernando Rodriguez Villegas
This graduate text shows how the computer can be used as a tool for research in number theory through numerical experimentation. Examples of experiments in binary quadratic forms, zeta functions of varieties over finite fields, elementary class field theory, elliptic units, modular forms, are provided along with exercises and selected solutions.
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