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Series : Oxford Graduate Texts in Mathematics

Experimental Number Theory

Experimental Number Theory
Author
Villegas, Fernando Rodriguez 
Publisher
Oxford University Press 
Publication Date
Jul, 2007 
ISBN
0198528221 or 9780198528227
HARDCOVER 
214 Pages
絶版商品のため、弊社では取り扱いできません。
Out of Print

¥ 12,651 (tax included)

Description

Covers a broad spectrum of basic computational issues
Numerous GP programming examples given
End of chapter exercises reinforce the text
Remarks and solutions are provided for selected exercises in the final chapter

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.

Contents

Preface
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
Index

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