Includes both theoretical and computational examples

Explores new computational techniques for quadratic diophantine equations

The techniques presented shed light on important open problems

This text treats the classical theory of quadratic diophantine equations and guides the reader through the last two decades of computational techniques and progress in the area. These new techniques combined with the latest increases in computational power shed new light on important open problems.

Key features:

Motivates the study of quadratic diophantine equations with excellent examples and open problems

Examines Pell’s equation and its generalizations

Presents important quadratic diophantine equations and applications

Computational techniques solve classical and outstanding problems

The book is intended for advanced undergraduate and graduate students as well as researchers. It challenges the reader to apply not only specific techniques and strategies, but also to employ methods and tools from other areas of mathematics, such as algebra and analysis.