An Introduction to Difference Equations

Third Auflage 2005
ISBN: 978-0-387-23059-7
Verlag: Springer

Buch, Englisch, 540 Seiten, Format (B × H): 167 mm x 243 mm, Gewicht: 2120 g

Reihe: Undergraduate Texts in Mathematics

A must-read for mathematicians, scientists and engineers who want to understand difference equations and discrete dynamics

Contains the most complete and comprehenive analysis of the stability of one-dimensional maps or first order difference equations.

Has an extensive number of applications in a variety of fields from neural network to host-parasitoid systems.

Includes chapters on continued fractions, orthogonal polynomials and asymptotics.

Lucid and transparent writing style

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

Elaydi, Saber

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik

Inhaltsverzeichnis

Dynamics of First-Order Difference Equations.- Linear Difference Equations of Higher Order.- Systems of Linear Difference Equations.- Stability Theory.- Higher-Order Scalar Difference Equations.- The Z-Transform Method and Volterra Difference Equations.- Oscillation Theory.- Asymptotic Behavior of Difference Equations.- Applications to Continued Fractions and Orthogonal Polynomials.- Control Theory.