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Quadratic diophantine equations [electronic resource] / Titu Andreescu and Andrica Dorin ; foreword by Preda Mihăilescu.

9780387541099 electronic book
0387541098 electronic book
9780387351568

New York : Springer, 2015.

English

1 online resource.

10.1007/978-0-387-54109-9 doi

QA215

512.9/4222

This monograph 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. The authors motivate the study of quadratic Diophantine equations with excellent examples, open problems, and applications. Moreover, the exposition aptly demonstrates many applications of results and techniques from the study of Pell-type equations to other problems in number theory. 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.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed July 6, 2015).

Developments in mathematics ; volume 40.

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