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Quadratic diophantine equations[elec...

Andreescu, Titu.

Quadratic diophantine equations[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	512.94222
書名/作者:	Quadratic diophantine equations/ by Titu Andreescu, Dorin Andrica.
作者:	Andreescu, Titu.
其他作者:	Andrica, Dorin.
出版者:	New York, NY : : Springer New York :, 2015.
面頁冊數:	xviii, 211 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Equations, Quadratic.
標題:	Diophantine equations.
標題:	Mathematics.
標題:	Number Theory.
標題:	Algebra.
ISBN:	9780387541099 (electronic bk.)
ISBN:	9780387351568 (paper)
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-0-387-54109-9

Quadratic diophantine equations[electronic resource] /
Andreescu, Titu.

Quadratic diophantine equations[electronic resource] /by Titu Andreescu, Dorin Andrica. - New York, NY :Springer New York :2015. - xviii, 211 p. :ill., digital ;24 cm. - Developments in mathematics,v.401389-2177 ;. - Developments in mathematics ;v.25..

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.

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.

ISBN: 9780387541099 (electronic bk.)

Standard No.: 10.1007/978-0-387-54109-9doiSubjects--Topical Terms:

627572
Equations, Quadratic.

LC Class. No.: QA215

Dewey Class. No.: 512.94222

Quadratic diophantine equations[electronic resource] /
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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.
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.
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