Screen LibraryQuadratic Diophantine equations /
"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...
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| Main Authors: | |
|---|---|
| Group Author: | ; |
| Published: |
Springer,
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| Publisher Address: | New York : |
| Publication Dates: | [2015] |
| Literature type: | Book |
| Language: | English |
| Series: |
Developments in mathematics,
volume 40 |
| Subjects: | |
| Summary: |
"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"-- |
| Carrier Form: | xviii, 211 pages ; 24 cm. |
| Bibliography: | Includes bibliographical references (pages 201-208) and index. |
| ISBN: |
9780387351568 0387351566 |
| Index Number: | QA215 |
| CLC: |
O156.7 O122.2 |
| Call Number: | O122.2/A558 |
| 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. |