Elliptic Curves by Horst G. Zimmer, Hardcover, 9783110168082 | Buy online at The Nile
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Elliptic Curves

A Computational Approach

Author: Horst G. Zimmer, Susanne Schmitt and Attila Pethö   Series: De Gruyter Studies in Mathematics

The purpose of this textbook is to give an elementary introduction to elliptic curves. Due to the accessibility of computer-assisted calculations, the authors approach the theory from a computational view point. However, the book can also be read by those not interested in any computations.

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Summary

The purpose of this textbook is to give an elementary introduction to elliptic curves. Due to the accessibility of computer-assisted calculations, the authors approach the theory from a computational view point. However, the book can also be read by those not interested in any computations.

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Description

The purpose of the textbook is to give an elementary introduction to elliptic curves. Due to the accessibility of computer-assisted calculations, the authors approach the theory from a computational view point. However, the book can also be read by those not interested in any computations. The topics covered include: the determination of torsion groups, computations regarding the Mordell-Weil group, height calculations, and S-integral points.

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Critic Reviews

"This is a most welcome addition to the existing literature on elliptic curves."Ch. Baxa in: Monatshefte fur Mathematik 4/2004

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About the Author

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.

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More on this Book

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. The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob. Titles in planning include Flavia Smarazzo and Alberto Tesei, Measure Theory: Radon Measures, Young Measures, and Applications to Parabolic Problems (2019) Elena Cordero and Luigi Rodino, Time-Frequency Analysis of Operators (2019) Mark M. Meerschaert, Alla Sikorskii, and Mohsen Zayernouri, Stochastic and Computational Models for Fractional Calculus, second edition (2020) Mariusz Lemaoczyk, Ergodic Theory: Spectral Theory, Joinings, and Their Applications (2020) Marco Abate, Holomorphic Dynamics on Hyperbolic Complex Manifolds (2021) Miroslava Antic, Joeri Van der Veken, and Luc Vrancken, Differential Geometry of Submanifolds: Submanifolds of Almost Complex Spaces and Almost Product Spaces (2021) Kai Liu, Ilpo Laine, and Lianzhong Yang, Complex Differential-Difference Equations (2021) Rajendra Vasant Gurjar, Kayo Masuda, and Masayoshi Miyanishi, Affine Space Fibrations (2022)

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Product Details

Publisher
De Gruyter
Published
19th November 2003
Pages
376
ISBN
9783110168082

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