Elliptic Curves: A Computational Approach

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.