TY  - BOOK
AU  - Andreescu,Titu
AU  - Andrica,Dorin
ED  - SpringerLink (Online service)
TI  - Quadratic Diophantine Equations
T2  - Developments in Mathematics,
SN  - 9780387541099
AV  - QA241-247.5 
U1  - 512.7 23
PY  - 2015///
CY  - New York, NY
PB  - Springer New York, Imprint: Springer
KW  - mathematics
KW  - Algebra
KW  - Number theory
KW  - Mathematics
KW  - Number Theory
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-0-387-54109-9
ER  -