Quadratic Diophantine Equations

Nonfiction, Science & Nature, Mathematics, Number Theory, Algebra
Cover of the book Quadratic Diophantine Equations by Titu Andreescu, Dorin Andrica, Springer New York
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Author: Titu Andreescu, Dorin Andrica ISBN: 9780387541099
Publisher: Springer New York Publication: June 29, 2015
Imprint: Springer Language: English
Author: Titu Andreescu, Dorin Andrica
ISBN: 9780387541099
Publisher: Springer New York
Publication: June 29, 2015
Imprint: Springer
Language: English

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.

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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. 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.

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