Includes bibliographical references (pages 351-363) and index.
Contents
Elliptic curves -- Elliptic curves over the complex numbers -- Elliptic curves over finite fields -- Elliptic curves over local fields -- The Mordell-Weil theorem and heights -- Torsion group -- The rank -- Basis -- S-integral points -- Algorithmic theory of diophantine equations -- Multiquadratic number fields.
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.
Local Note
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America