Elliptic Curves

A Computational Approach
1. Auflage 2003
ISBN: 978-3-11-016808-2
Verlag: De Gruyter

Buch, Englisch, Band 31, 367 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 822 g

Reihe: De Gruyter Studies in Mathematics

The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel.

The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist.

The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level.

Editor-in-Chief

Guozhen Lu, University of Connecticut, USA

Editorial Board

Carstensen Carsten, Humboldt-Universitat zu Berlin, Germany

Gavril Farkas, Humboldt-Universitat zu Berlin, Germany

Nicola Fusco, Università di Napoli "Federico II", Italy

Fritz Gesztesy, Baylor University, USA

Zenghu Li, Beijing Normal University, China

Karl-Hermann Neeb, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany

René L. Schilling, Technische Universität Dresden, Germany

Volkmar Welker, Philipps-Universität Marburg, Germany

Please submit book proposals to Guozhen Lu

Zielgruppe

Researchers and Graduate Students in Mathematics or Computer Sciences; Academic Libraries

Autoren/Hrsg.

Schmitt, Susanne

Zimmer, Horst G.

Weitere Mitwirkende

Pethö, Attila

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen
• Mathematik | Informatik EDV | Informatik Daten / Datenbanken Informationstheorie, Kodierungstheorie
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Informationstheorie, Kodierungstheorie
• Mathematik | Informatik EDV | Informatik Daten / Datenbanken Kryptologie, Informationssicherheit

Inhaltsverzeichnis

Frontmatter
Contents
Chapter 1. Elliptic curves
Chapter 2. Elliptic curves over the complex numbers
Chapter 3. Elliptic curves over finite fields
Chapter 4. Elliptic curves over local fields
Chapter 5. The Mordell-Weil theorem and heights
Chapter 6. Torsion group
Chapter 7. The rank
Chapter 8. Basis
Chapter 9. S-integral points
Appendix A. Algorithmic theory of diophantine equations
Appendix B. Multiquadratic number fields
Backmatter

Über Autor(innen)

Zimmer, Horst G.
Horst-Günter Zimmer is Professor at the Mathematics Department of the University of the Saarland at Saarbrücken, Germany.

Schmitt, Susanne
Dr. Susanne Schmitt works at the Max Planck Institute for Computer Sciences at Saarbrücken, Germany.

Dr. Susanne Schmitt works at the Max Planck Institute for Computer Sciences at Saarbrücken, Germany. Horst-Günter Zimmer is Professor at the Mathematics Department of the University of the Saarland at Saarbrücken, Germany.