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.
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Review
...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)
About the Author
Fernando Villegas is in the Department of Mathematics, University of Texas at Austin.
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Experimental Number Theory
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Buch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. Seller Inventory # 9780198528227
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Experimental Number Theory
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