Arithmetic of Algebraic Curves (1995 ed.)

Author S.A. Stepanov thoroughly investigates the current state of the theory of Diophantine equations and its related methods. Discussions focus on arithmetic, algebraic-geometric, and logical aspects of the problem.

Designed for students as well as researchers, the book includes over 250 excercises accompanied by hints, instructions, and references.

Written in a clear manner, this text does not require readers to have special knowledge of modern methods of algebraic geometry.