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. Series: Oxford Graduate Texts in Mathematics. Num Pages: 232 pages, Illustrations. BIC Classification: PBH. Category: (U) Tertiary Education (US: College). Dimension: 232 x 155 x 14. Weight in Grams: 358. . 2007. Paperback. . . . . Books ship from the US and Ireland.

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Bibliographic Details

Title: Experimental Number Theory (Oxford Graduate Texts in Mathematics): 13
Publisher: Oxford University Press, USA
Publication Date: 2007
Language: English
ISBN 10: 0199227306
ISBN 13: 9780199227303
Binding: Soft cover
Condition: New

About this title

Synopsis

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.

About the Author

Fernando Villegas is in the Department of Mathematics, University of Texas at Austin.

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