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Sinopsis
This text 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. The presentation features two basic methods to investigate and motivate the study of quadratic diophantine equations: the theories of continued fractions and quadratic fields. It also discusses Pell’s equation and its generalizations, and presents some important quadratic diophantine equations and applications. The inclusion of examples makes this book useful for both research and classroom settings.
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De la contraportada
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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- EditorialSpringer
- Año de publicación2016
- ISBN 10 1493938800
- ISBN 13 9781493938803
- EncuadernaciónTapa blanda
- IdiomaInglés
- Número de páginas232
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Quadratic Diophantine Equations (Developments in Mathematics, 40)
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Quadratic Diophantine Equations (Developments in Mathematics, 40)
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Quadratic Diophantine Equations
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Springer New York, Springer US, 2016
ISBN 10: 1493938800
ISBN 13: 9781493938803
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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Nº de ref. del artículo: 9781493938803
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Quadratic Diophantine Equations
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Quadratic Diophantine Equations
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Springer-Verlag New York Inc., 2016
ISBN 10: 1493938800
ISBN 13: 9781493938803
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Quadratic Diophantine Equations
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ISBN 10: 1493938800
ISBN 13: 9781493938803
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 232 pp. Englisch. Nº de ref. del artículo: 9781493938803
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes both theoretical and computational examplesExplores new computational techniques for quadratic diophantine equationsTechniques presented will shed light on important open problemsIncludes both theoretical and computation. Nº de ref. del artículo: 385696956
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