Product details:
| ISBN13: | 9780199227303 |
| ISBN10: | 0199227306 |
| Binding: | Paperback |
| No. of pages: | 232 pages |
| Size: | 232x155x14 mm |
| Weight: | 358 g |
| Language: | English |
| 0 |
Category:
Experimental Number Theory
Series:
Oxford Graduate Texts in Mathematics;
13;
Publisher: OUP Oxford
Date of Publication: 24 May 2007
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Short description:
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.
Long description:
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.
...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.
...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.
Table of Contents:
Preface
Basic examples
Reciprocity
Positive definite binary quadratic forms
Sequences
Combinatorics
p-adic numbers
Polynomials
Remarks on selected exercises
References
Index
Basic examples
Reciprocity
Positive definite binary quadratic forms
Sequences
Combinatorics
p-adic numbers
Polynomials
Remarks on selected exercises
References
Index
