Elaydi An Introduction to Difference Equations

2. Auflage 1999
ISBN: 978-1-4757-3110-1
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 429 Seiten, eBook

Reihe: Undergraduate Texts in Mathematics

Integrating both classical and modern treatments of difference equations, this book contains the most updated and comprehensive material on stability, Z-transform, discrete control theory, asymptotic theory, continued fractions and orthogonal polynomials. While the presentation is simple enough for use by advanced undergraduates and beginning graduates in mathematics, engineering science, and economics, it will also be a useful reference for scientists and engineers interested in discrete mathematical models. The text covers a large set of applications in a variety of disciplines, including neural networks, feedback control, Markov chains, trade models, heat transfer, propagation of plants, epidemic models and host-parasitoid systems, with each section rounded off by an extensive and highly selected set of exercises.

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

Elaydi, Saber N.

Inhaltsverzeichnis

1 Dynamics of First-Order Difference Equations.- 2 Linear Difference Equations of Higher Order.- 6 Control Theory.- 8 Asymptotic Behavior of Difference Equations.- 9 Applications to Continued Fractions and Orthogonal Polynomials.- Answers to Selected Problems.- Maple Programs.- Appendix C Classical Orthogonal Polynomials.- Appendix D Identities and Formulas.