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.
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