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Elliptic Curves : A Computational Approach

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http://pubman.mpdl.mpg.de/cone/persons/resource/persons45404

Schmitt,  Susanne
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

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Citation

Schmitt, S., & Zimmer, H. G. (2003). Elliptic Curves: A Computational Approach. Berlin, Germany: de Gruyter.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-2CDD-F
Abstract
The purpose of the present text is to give an elementary introduction to the arithmetic of elliptic curves over number fields from a computational point of view. This branch of number theory is particularly accessible to computer assisted calculations, and the authors make use of this feature by approaching the theory from a computational point of view. Specifically, the computer-algebra package SIMATH is applied on several occasions.