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Quadratic Diophantine equations [electronic resource]

Quadratic Diophantine equations [electronic resource]

자료유형
E-Book(소장)
개인저자
Andreescu, Titu, 1956-. Andrica, Dorin.
서명 / 저자사항
Quadratic Diophantine equations [electronic resource] / Titu Andreescu, Dorin Andrica.
발행사항
New York, NY :   Springer New York :   Imprint: Springer,   2015.  
형태사항
1 online resource (xviii, 211 p.).
총서사항
Developments in mathematics,1389-2177 ; 40
ISBN
9780387541099
요약
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.
일반주기
Title from e-Book title page.  
내용주기
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.
서지주기
Includes bibliographical references and index.
이용가능한 다른형태자료
Issued also as a book.  
일반주제명
Mathematics. Algebra. Number theory.
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020 ▼a 9780387541099
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050 0 0 ▼a QA215
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100 1 ▼a Andreescu, Titu, ▼d 1956-.
245 1 0 ▼a Quadratic Diophantine equations ▼h [electronic resource] / ▼c Titu Andreescu, Dorin Andrica.
260 ▼a New York, NY : ▼b Springer New York : ▼b Imprint: Springer, ▼c 2015.
300 ▼a 1 online resource (xviii, 211 p.).
490 1 ▼a Developments in mathematics, ▼x 1389-2177 ; ▼v 40
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references 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.
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.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
650 0 ▼a Mathematics.
650 0 ▼a Algebra.
650 0 ▼a Number theory.
700 1 ▼a Andrica, Dorin.
830 0 ▼a Developments in mathematics ; ▼v 40.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=http://dx.doi.org/10.1007/978-0-387-54109-9
945 ▼a KLPA
991 ▼a E-Book(소장)

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