Quadratic Diophantine Equations

• 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.

"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)