UID:
almahu_9949462251802882
Format:
1 online resource (367 p.)
ISBN:
9783110198010
,
9783110494938
Series Statement:
De Gruyter Studies in Mathematics , 31
Content:
The purpose of the present textbook is to give an elementary introduction to elliptic curves. Since this branch of number theory is particularly accessible to computer-assisted calculations, the authors make use of it by approaching the theory under a computational point of view. Specifically, the computer-algebra package SIMATH can be applied on several occasions. However, the book can be read also by those not interested in any computations. Of course, the theory of elliptic curves is very comprehensive and becomes correspondingly sophisticated. That is why the authors made a choice of the topics treated. Topics covered include the determination of torsion groups, computations regarding the Mordell-Weil group, height calculations, S-integral points. The contents is kept as elementary as possible. In this way it becomes obvious in which respect the book differs from the numerous textbooks on elliptic curves nowadays available.
Note:
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 --
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Chapter 9. S-integral points --
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Appendix A. Algorithmic theory of diophantine --
,
equations --
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Appendix B. Multiquadratic number fields --
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Backmatter
,
Issued also in print.
,
Mode of access: Internet via World Wide Web.
,
In English.
In:
DG Studies in Mathematics eBook-Package, De Gruyter, 9783110494938
In:
DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
In:
E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2008, De Gruyter, 9783110212129
In:
E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2008, De Gruyter, 9783110212136
In:
E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2008, De Gruyter, 9783110209082
Additional Edition:
ISBN 9783110168082
Language:
English
Subjects:
Mathematics
DOI:
10.1515/9783110198010
URL:
https://doi.org/10.1515/9783110198010
URL:
https://www.degruyter.com/isbn/9783110198010
URL:
Volltext
(lizenzpflichtig)
