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020 a| 9780387351568 (alk. paper);

020 a| 0387351566 (alk. paper);

020 z| 9780387541099 (eBook);

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100 1 a| Andreescu, Titu,d| 1956-;

245 10 a| Quadratic Diophantine equationsh| [electronic resource] /c| Titu Andreescu, Dorin Andrica ; foreword by Preda Mihăilescu.;

260 a| New York :b| Springer,c| [2015];

300 a| xviii, 211 pages ;c| 24 cm.;

490 1 a| Developments in mathematics,x| 1389-2177 ;v| volume 40;

504 a| Includes bibliographic references (pages 201-208) and index.;

505 0 a| 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.;

506 a| Available only to authorized users.;

520 a| "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"--c| Back cover.;

538 a| Mode of access: World Wide Web;

650 0 a| Equations, Quadratic.;

650 0 a| Diophantine equations.;

650 7 a| Diophantine equations.2| fast0| (OCoLC)fst00894090;

650 7 a| Equations, Quadratic.2| fast0| (OCoLC)fst00914508;

655 0 a| Electronic books.;

700 1 a| Andrica, Dorin,d| 1956-;

830 0 a| Developments in mathematics ;v| v. 40.;

856 40 z| Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2015 English Internationalu| https://go.openathens.net/redirector/ecu.edu?url=https%3A%2F%2Flink.springer.com%2F10.1007%2F978-0-387-54109-9;

856 40 z| Full text available from Springer Booksu| https://go.openathens.net/redirector/ecu.edu?url=https%3A%2F%2Flink.springer.com%2F10.1007%2F978-0-387-54109-9;

947 a| (OCoLC)ocn916486370;

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Quadratic Diophantine equations / Titu Andreescu, Dorin Andrica ; foreword by Preda Mihăilescu.

Author/creator	Andreescu, Titu, 1956-
Other author	Andrica, Dorin, 1956-
Format	Electronic
Publication Info	New York : Springer, [2015]
Description	xviii, 211 pages ; 24 cm.
Supplemental Content	Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2015 English International
Supplemental Content	Full text available from Springer Books
Subjects	Equations, Quadratic. Diophantine equations.

Series	Developments in mathematics, 1389-2177 ; volume 40 Developments in mathematics ; v. 40.
Contents	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.
Abstract	"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"-- Back cover.
Bibliography note	Includes bibliographic references (pages 201-208) and index.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2015940004
ISBN	9780387351568 (alk. paper)
ISBN	0387351566 (alk. paper)

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Library	Location	Call Number	Status	Item Actions
	Electronic Resources	Online Content Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2015 English International Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2015 English International	✔ Available

Quadratic Diophantine equations / Titu Andreescu, Dorin Andrica ; foreword by Preda Mihăilescu.

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