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Quadratic 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 probl...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Andreescu, Titu (Autor), Andrica, Dorin (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Developments in Mathematics, 40
Temas:
Acceso en línea:Texto Completo
Descripción
Sumario: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.
Descripción Física:XVIII, 211 p. online resource.
ISBN:9780387541099
ISSN:2197-795X ;