Quadratic Diophantine Equations

Titu Andreescu, Dorin Andrica (Autoren)

Buch | Softcover

211 Seiten

2016 | Softcover reprint of the original 1st ed. 2015
Springer-Verlag New York Inc.
978-1-4939-3880-3 (ISBN)

Artikel merken

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	31.10.2016
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