Experimental Number Theory

Erscheinungsjahr 2007
ISBN: 978-0-19-852822-7
Verlag: PRACTITIONER LAW

Buch, Englisch, Band 13, 232 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 503 g

Reihe: Oxford Graduate Texts in Mathematics

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.

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.

Autoren/Hrsg.

Villegas, Fernando

Villegas, Fernando Rodriguez

Fachgebiete

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