This new edition has been thoroughly updated and expanded to include more applications, examples, and exercises, all with solutions. It contains two new chapters on neural networks and simulation.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
"The text treats a remarkable spectrum of topics and has a little for everyone. It can serve as an introduction to many of the topics of dynamical systems, and will help even the most jaded reader, such as this reviewer, enjoy some of the interactive aspects of studying dynamics using Maple."
UK Nonlinear News (Review of First Edition)
"The book will be useful for all kinds of dynamical systems courses . [It] shows the power of using a computer algebra program to study dynamical systems, and, by giving so many worked examples, provides ample opportunity for experiments. [It] is well written and a pleasure to read, which is helped by its attention to historical background."
Mathematical Reviews (Review of First Edition)
Since the first edition of this book was published in 2001, Maple has evolved from Maple V into Maple 13. Accordingly, this new edition has been thoroughly updated and expanded to include more applications, examples, and exercises, all with solutions; two new chapters on neural networks and simulation have also been added. There are also new sections on perturbation methods, normal forms, Gröbner bases, and chaos synchronization.
The work provides an introduction to the theory of dynamical systems with the aid of Maple. The author has emphasized breadth of coverage rather than fine detail, and theorems with proof are kept to a minimum. Some of the topics treated are scarcely covered elsewhere. Common themes such as bifurcation, bistability, chaos, instability, multistability, and periodicity run through several chapters.
The book has a hands-on approach, using Maple as a pedagogical tool throughout. Maple worksheet files are listed at the end of each chapter, and along with commands, programs, and output may be viewed in color at the author s website. Additional applications and further links of interest may be found at Maplesoft s Application Center.
Dynamical Systems with Applications using Maple is aimed at senior undergraduates, graduate students, and working scientists in various branches of applied mathematics, the natural sciences, and engineering.
ISBN 978-0-8176-4389-8
§
Also by the author:
Dynamical Systems with Applications using MATLAB®, ISBN 978-0-8176-4321-8
Dynamical Systems with Applications using Mathematica®, ISBN 978-0-8176-4482-6
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Paperback. Condizione: new. Paperback. Since the ?rst edition of this book was published in 2001, the algebraic computa- tion package Maple has evolved from Maple V into Maple 13. Accordingly, the second edition has been thoroughly updated and new material has been added. In this edition, there are many more applications, examples, and exercises, all with solutions, and new chapters on neural networks and simulation have been added. Therearealsonewsectionsonperturbationmethods,normalforms,Groebnerbases, and chaos synchronization. This book provides an introduction to the theory of dynamical systems with the aid of the Maple algebraic manipulation package. It is written for both senior undergraduates and graduate students. The ?rst part of the book deals with c- tinuous systems using ordinary differential equations (Chapters 110 ), the second part is devoted to the study of discrete dynamical systems (Chapters 1115), and Chapters 1618 deal with both continuous and discrete systems. Chapter 19 lists examination-type questions used by the author over many years, one set to be used in a computer laboratory with access to Maple, and the other set to be used without access to Maple. Chapter 20 lists answers to all of the exercises given in the book. It should be pointed out that dynamical systems theory is not l- ited to these topics but also encompasses partial differential equations, integral and integro-differential equations, stochastic systems, and time delay systems, for instance. References [1][5] given at the end of the Preface provide more inf- mation for the interested reader. The ?rst part of the book deals with c- tinuous systems using ordinary differential equations (Chapters 110 ), the second part is devoted to the study of discrete dynamical systems (Chapters 1115), and Chapters 1618 deal with both continuous and discrete systems. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9780817643898
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Excellent reviews of the first edition (Mathematical Reviews, SIAM, Reviews, UK Nonlinear News, The Maple Reporter)New edition has been thoroughly updated and expanded to include more applications, examples, and exercises, all with solutionsTwo new chapters on neural networks and simulation have also been addedWide variety of topics covered with applications to many fields, including mechanical systems, chemical kinetics, economics, population dynamics, nonlinear optics, and materials scienceAccessible to a broad, interdisciplinary audience of readers with a general mathematical background, including senior undergraduates, graduate students, and working scientists in various branches of applied mathematics, the natural sciences, and engineeringAhands-on approach isused withMaple as a pedagogical tool throughout; Maple worksheet files are listed at the end of each chapter, and along with commands, programs, and output may be viewed in color at the author's website withadditional applications and further links of interest at Maplesoft's Application Center 500 pp. Englisch. Codice articolo 9780817643898
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