Experiment Number Theory

Erscheinungsjahr 2007
ISBN: 978-0-19-852822-7
Verlag: OUP Oxford

Buch, Englisch, 232 Seiten, Print PDF, Format (B × H): 161 mm x 240 mm, Gewicht: 517 g

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.

Autoren/Hrsg.

Villegas, Fernando

Villegas, Fernando Rodriguez

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Populärwissenschaftliche Werke
• Mathematik | Informatik Mathematik Algebra Zahlentheorie

Inhaltsverzeichnis

- 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