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.