Quadratic Diophantine Equations - Titu Andreescu, Dorin Andrica

Quadratic Diophantine Equations

Buch | Softcover
211 Seiten
2016 | Softcover reprint of the original 1st ed. 2015
Springer-Verlag New York Inc.
978-1-4939-3880-3 (ISBN)
53,49 inkl. MwSt
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.

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.

Erscheinungsdatum
Reihe/Serie Developments in Mathematics ; 40
Zusatzinfo XVIII, 211 p.
Verlagsort New York
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Schlagworte Algebra • diophantine equations • Number Theory • Pell's equation
ISBN-10 1-4939-3880-0 / 1493938800
ISBN-13 978-1-4939-3880-3 / 9781493938803
Zustand Neuware
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