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Quadratic Diophantine Equations

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Quadratic Diophantine Equations/ by Titu Andreescu, Dorin Andrica.
作者:	Andreescu, Titu.
其他作者:	Andrica, Dorin.
面頁冊數:	XVIII, 211 p.online resource. :
Contained By:	Springer Nature eBook
標題:	Number theory. -
電子資源:	https://doi.org/10.1007/978-0-387-54109-9
ISBN:	9780387541099

Quadratic Diophantine Equations
Andreescu, Titu.

Quadratic Diophantine Equations[electronic resource] /by Titu Andreescu, Dorin Andrica. - 1st ed. 2015. - XVIII, 211 p.online resource. - Developments in Mathematics,401389-2177 ;. - Developments in Mathematics,41.

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

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

527883
Number theory.

LC Class. No.: QA241-247.5

Dewey Class. No.: 512.7

Quadratic Diophantine Equations
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