Quadratic Diophantine Equations

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. [...]
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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 of this title are as mentioned below. It motivates the study of quadratic diophantine equations with excellent examples and open problems. It examines Pell's equation and its generalizations. It 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.