Quadratic Diophantine Equations: 40 (Developments in Mathematics, 40) - Softcover

Andreescu, Titu; Andrica, Dorin

Softcover

ISBN 10: 1493938800 ISBN 13: 9781493938803

Publisher: Springer, 2016

Synopsis

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. The presentation features two basic methods to investigate and motivate the study of quadratic diophantine equations: the theories of continued fractions and quadratic fields. It also discusses Pell’s equation and its generalizations, and presents some important quadratic diophantine equations and applications. The inclusion of examples makes this book useful for both research and classroom settings.

About this title

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2016
• Language: English
• ISBN 10: 1493938800
• ISBN 13: 9781493938803
• Binding: Paperback
• Number of pages: 229