Dynamical Systems with Applications Using Mathematica® - Hardcover

Lynch, Stephen

Hardcover

ISBN 10: 3319614843 ISBN 13: 9783319614847

Verlag: Birkhauser Verlag AG, 2017

Inhaltsangabe

<P>THIS BOOK PROVIDES AN INTRODUCTION TO THE THEORY OF DYNAMICAL SYSTEMS WITH THE AID OF THE MATHEMATICA COMPUTER ALGEBRA PACKAGE. THE BOOK HAS A VERY HANDS-ON APPROACH AND TAKES THE READER FROM BASIC THEORY TO RECENTLY PUBLISHED RESEARCH MATERIAL. EMPHASIZED THROUGHOUT ARE NUMEROUS APPLICATIONS TO BIOLOGY, CHEMICAL KINETICS, ECONOMICS, ELECTRONICS, EPIDEMIOLOGY, NONLINEAR OPTICS, MECHANICS, POPULATION DYNAMICS, AND NEURAL NETWORKS. THEOREMS AND PROOFS ARE KEPT TO A MINIMUM. THE FIRST SECTION DEALS WITH CONTINUOUS SYSTEMS USING ORDINARY DIFFERENTIAL EQUATIONS, WHILE THE SECOND PART IS DEVOTED TO THE STUDY OF DISCRETE DYNAMICAL SYSTEMS.</P>

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Críticas:

“Lynch’s book provides a through and very readable introduction to the dynamical systems. It addresses all the topics that one would expect, including both continuous-time and discrete-time models and at a level appropriate for experienced undergraduates and early postgraduates.” (J.M Christian, Mathematics Today, Vol. 54 (04), August, 2018)

Reseña del editor:

This book provides an introduction to the theory of dynamical systems with the aid of the Mathematica® computer algebra package. The book has a very hands-on approach and takes the reader from basic theory to recently published research material. Emphasized throughout are numerous applications to biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics, and neural networks. Theorems and proofs are kept to a minimum. The first section deals with continuous systems using ordinary differential equations, while the second part is devoted to the study of discrete dynamical systems.

Über diese Auflage

• Verlag: Birkhauser Verlag AG
• Erscheinungsdatum: 2017
• ISBN 10: 3319614843
• ISBN 13: 9783319614847
• Einband: Tapa dura
• Auflage: 2
• Anzahl der Seiten: 604