Quadratic Diophantine Equations

• Κύριοι συγγραφείς: Andreescu, Titu (Συγγραφέας), Andrica, Dorin (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2015.
• Σειρά: Developments in Mathematics, 40
• Θέματα: Mathematics.; Algebra.; Number theory.; Number Theory.

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 probl...

Πίνακας περιεχομένων:

• 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.