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.
Cuprins
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.
Limba Engleză ● Format PDF ● Pagini 211 ● ISBN 9780387541099 ● Editura Springer New York ● Oraș NY ● Țară US ● Publicat 2015 ● Descărcabil 24 luni ● Valută EUR ● ID 4409871 ● Protecție împotriva copiilor Adobe DRM
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