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Beschreibung
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.
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.
Über den Autor
Titu Andreescu is an Associate Professor of Mathematics at the University of Texas at Dallas.
Zusammenfassung

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.

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2016
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Developments in Mathematics
Inhalt: xviii
211 S.
ISBN-13: 9781493938803
ISBN-10: 1493938800
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Andreescu, Titu
Andrica, Dorin
Auflage: Softcover reprint of the original 1st edition 2015
Hersteller: Springer
Copernicus
Springer US, New York, N.Y.
Developments in Mathematics
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 13 mm
Von/Mit: Titu Andreescu (u. a.)
Erscheinungsdatum: 09.10.2016
Gewicht: 0,359 kg
Artikel-ID: 102997651