Quadratic Diophantine Equations, Softcover reprint of the original 1st ed. 2015 Developments in Mathematics Series, Vol. 40
Auteurs : Andreescu Titu, Andrica Dorin
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.
Date de parution : 10-2016
Ouvrage de 211 p.
15.5x23.5 cm
Date de parution : 06-2015
Ouvrage de 211 p.
15.5x23.5 cm
Thème de Quadratic Diophantine Equations :
Mots-clés :
Pell's equation; algebra; diophantine equations; number theory