Quadratic Diophantine Equations

Titu Andreescu, Dorin Andrica (Autoren)

Buch | Hardcover

XVIII, 211 Seiten

2015
Springer-Verlag New York Inc.
978-0-387-35156-8 (ISBN)

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This text 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. The presentation features two basic methods to investigate and motivate the study of quadratic diophantine equations: the theories of continued fractions and quadratic fields. It also discusses Pell’s equation and its generalizations, and presents some important quadratic diophantine equations and applications. The inclusion of examples makes this book useful for both research and classroom settings.

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.

Erscheint lt. Verlag	30.6.2015
Reihe/Serie	Developments in Mathematics ; 40
Zusatzinfo	20 Tables, black and white
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Gewicht	4734 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
ISBN-10	0-387-35156-6 / 0387351566
ISBN-13	978-0-387-35156-8 / 9780387351568
Zustand	Neuware