Quadratic Diophantine Equations

Inbunden, Engelska, 2015

AvTitu Andreescu,Dorin Andrica

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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.

Produktinformation

Utgivningsdatum2015-06-30
Mått155 x 235 x 20 mm
Vikt508 g
FormatInbunden
SpråkEngelska
SerieDevelopments in Mathematics
Antal sidor211
FörlagSpringer-Verlag New York Inc.
ISBN9780387351568

Tillhör följande kategorier

Matematik inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik
Talteori inom Naturvetenskap och teknik

"Diophantine analysis aims to solve equations (usually polynomial) in integers (or rationals). ... this work settles the classical foundation, then develops state-of-the-art issues, especially concerning computation. ... Summing Up: Recommended. Lower-division undergraduates through professionals/practitioners." (D. V. Feldman, Choice, Vol. 53 (9), May, 2016) "The primary focus of this book under review is the integer solutions of Pell equations, their generalisations and related diophantine equations, along with applications of these equations. ... The book is suitable for readers from the level of a motivated undergraduate upwards, who are interested in the classical techniques for solving such equations. ... There is also an extensive bibliography." (Paul M. Voutier, Mathematical Reviews, March, 2016)