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Quadratic Diophantine Equations

Quadratic Diophantine Equations
Catalogue Information
Field name Details
Dewey Class 512.7
Title Quadratic Diophantine Equations ([EBook]) / by Titu Andreescu, Dorin Andrica
Author Andreescu, Titu , 1956-
Added Personal Name Andrica, Dorin
Other name(s) SpringerLink (Online service)
Publication New York, NY : Springer New York , 2015
Physical Details XVIII, 211 pages : online resource.
Series Developments in mathematics 1389-2177 ; ; 40
ISBN 9780387541099
Summary Note 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.:
Contents note Why Quadratic Diophantine Equations? -- Continued Fractions, Diophantine Approximation and Quadratic Rings -- Pell's Equation -- General Pell's Equation -- Equations Reducible to Pell's Type Equations -- Diophantine Representations of Some Sequences -- Other Applications.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site http://dx.doi.org/10.1007/978-0-387-54109-9
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