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Quadratic Diophantine equations [electronic resource]

Quadratic Diophantine equations [electronic resource]

Material type
E-Book(소장)
Personal Author
Andreescu, Titu, 1956-. Andrica, Dorin.
Title Statement
Quadratic Diophantine equations [electronic resource] / Titu Andreescu, Dorin Andrica.
Publication, Distribution, etc
New York, NY :   Springer New York :   Imprint: Springer,   2015.  
Physical Medium
1 online resource (xviii, 211 p.).
Series Statement
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.
General Note
Title from e-Book title page.  
Content Notes
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.
Bibliography, Etc. Note
Includes bibliographical references and index.
이용가능한 다른형태자료
Issued also as a book.  
Subject Added Entry-Topical Term
Mathematics. Algebra. Number theory.
Short cut
URL
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007 cr
008 200611s2015 nyu ob 001 0 eng d
020 ▼a 9780387541099
040 ▼a 211009 ▼c 211009 ▼d 211009
050 0 0 ▼a QA215
082 0 0 ▼a 512.7/2 ▼2 23
084 ▼a 512.72 ▼2 DDCK
090 ▼a 512.72
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)

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Main Library/e-Book Collection/ Call Number CR 512.72 Accession No. E14024427 Availability Loan can not(reference room) Due Date Make a Reservation Service M

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