An Introduction to Difference Equations (Undergraduate Texts in Mathematics) - Hardcover

Elaydi, Saber

Hardcover

ISBN 10: 0387230599 ISBN 13: 9780387230597

Verlag: Springer, 2005

Inhaltsangabe

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

Über diesen Titel

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.

Von der hinteren Coverseite

The book integrates both classical and modern treatments of difference equations. It contains the most updated and comprehensive material, yet the presentation is simple enough for the book to be used by advanced undergraduate and beginning graduate students. This third edition includes more proofs, more graphs, and more applications. The author has also updated the contents by adding a new chapter on Higher Order Scalar Difference Equations, along with recent results on local and global stability of one-dimensional maps, a new section on the various notions of asymptoticity of solutions, a detailed proof of Levin-May Theorem, and the latest results on the LPA flour-beetle model.

Saber Elaydi is Professor of Mathematics at Trinity University. He is also the author of Discrete Chaos (1999), and the Editor-In-Chief of the Journal of Difference Equations and Applications.

About the Second Edition:

The book is a valuable reference for anyone who models discrete systems. Dynamicists have the long-awaited discrete counterpart to standard textbooks such as Hirsch and Smale ('Differential Equations, Dynamical Systems, and Linear Algebra'). It is so well written and well designed, and the contents are so interesting to me, that I had a difficult time putting it down.

- Shandelle Henson, Journal of Difference Equations and Applications

Among the few introductory texts to difference equations this book is one of the very best ones. It has many features that the other texts don't have, e.g., stability theory, the Z-transform method (including a study of Volterra systems), and asymptotic behavior of solutions of difference equations (including Levinson's lemma) are studied extensively. It also contains very nice examples that primarily arise in applications in a variety of disciplines, including neural networks, feedback control, biology, Markov chains, economics, and heat transfer...

-Martin Bohner, University of Missouri, Rolla

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2005
• Sprache: Englisch
• ISBN 10: 0387230599
• ISBN 13: 9780387230597
• Einband: Tapa dura
• Auflage: 3
• Anzahl der Seiten: 564
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Deutschland