Experimental Number Theory
Book Details
Format
Hardback or Cased Book
Book Series
Oxford Graduate Texts in Mathematics
ISBN-10
0198528221
ISBN-13
9780198528227
Publisher
Oxford University Press
Imprint
Oxford University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
May 24th, 2007
Print length
232 Pages
Weight
502 grams
Dimensions
16.30 x 23.70 x 2.00 cms
Product Classification:
Number theoryMaths for computer scientists
Ksh 10,200.00
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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.
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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