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Sinopsis
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
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Acerca del 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.
De la contraportada
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
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An Introduction to Difference Equations. Third Edition
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New York/Heidelberg, Springer (Undergraduate Texts in Mathematics / UTM), 2005
ISBN 10: 0387230599
ISBN 13: 9780387230597
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Condición: Sehr gut. Formateinband: illustrierter Pappband / gebundene Ausgabe XXII, 539 S. (24 cm) 1st Edition; Sehr guter Zustand, lediglich kleiner Preiskleberrest am Hinterdeckel. Sprache: Englisch Gewicht in Gramm: 1200 [Stichwörter: Einführung Differentialgleichungen]. Nº de ref. del artículo: 73618
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An Introduction to Difference Equations (Undergraduate Texts in Mathematics)
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An Introduction to Difference Equations (Undergraduate Texts in Mathematics)
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An Introduction to Difference Equations
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Springer New York Mär 2005, 2005
ISBN 10: 0387230599
ISBN 13: 9780387230597
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In contemplating the third edition, I have had multiple objectives to achieve. The rst and foremost important objective is to maintain the - cessibility and readability of the book to a broad readership with varying mathematical backgrounds and sophistication. More proofs, more graphs, more explanations, and more applications are provided in this edition. The second objective is to update the contents of the book so that the reader stays abreast of new developments in this vital area of mathematics. Recent results on local and global stability of one-dimensional maps are included in Chapters 1, 4, and Appendices A and C. An extension of the Hartman-Grobman Theorem to noninvertible maps is stated in Appendix D. A whole new section on various notions of the asymptoticity of solutions and a recent extension of Perron's Second Theorem are added to Chapter 8. In Appendix E a detailed proof of the Levin-May Theorem is presented. In Chapters 4 and 5, the reader will nd the latest results on the larval- pupal-adult our beetle model. The third and nal objective is to better serve the broad readership of this book by including most, but certainly not all, of the research areas in di erence equations. As more work is being published in the Journal of Di erence Equations and Applications and elsewhere, it became apparent that a whole chapter needed to be dedicated to this enterprise. With the prodding and encouragement of Gerry Ladas, the new Chapter 5 was born. 540 pp. Englisch. Nº de ref. del artículo: 9780387230597
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An Introduction to Difference Equations
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Springer, NY, 2005
ISBN 10: 0387230599
ISBN 13: 9780387230597
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Hardcover. Condición: Very Fine. Third Edition. No markings. Nº de ref. del artículo: 00044281
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An Introduction to Difference Equations (Undergraduate Texts in Mathematics)
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Springer (edition 3rd), 2005
ISBN 10: 0387230599
ISBN 13: 9780387230597
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Hardcover. Condición: Very Good. 3rd. It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting. Nº de ref. del artículo: 0387230599-8-1
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An Introduction to Difference Equations
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - In contemplating the third edition, I have had multiple objectives to achieve. The rst and foremost important objective is to maintain the - cessibility and readability of the book to a broad readership with varying mathematical backgrounds and sophistication. More proofs, more graphs, more explanations, and more applications are provided in this edition. The second objective is to update the contents of the book so that the reader stays abreast of new developments in this vital area of mathematics. Recent results on local and global stability of one-dimensional maps are included in Chapters 1, 4, and Appendices A and C. An extension of the Hartman-Grobman Theorem to noninvertible maps is stated in Appendix D. A whole new section on various notions of the asymptoticity of solutions and a recent extension of Perron's Second Theorem are added to Chapter 8. In Appendix E a detailed proof of the Levin-May Theorem is presented. In Chapters 4 and 5, the reader will nd the latest results on the larval- pupal-adult our beetle model. The third and nal objective is to better serve the broad readership of this book by including most, but certainly not all, of the research areas in di erence equations. As more work is being published in the Journal of Di erence Equations and Applications and elsewhere, it became apparent that a whole chapter needed to be dedicated to this enterprise. With the prodding and encouragement of Gerry Ladas, the new Chapter 5 was born. Nº de ref. del artículo: 9780387230597
Cantidad disponible: 2 disponibles
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Introduction To Difference Equations
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Introduction To Difference Equations
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An Introduction to Difference Equations (Undergraduate Texts in Mathematics)
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