This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors. A unique feature of the book is its emphasis on applications. These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with the mathematical theory. Richly illustrated, and with many exercises and worked examples, this book is ideal for an introductory course at the junior/senior or first-year graduate level. It is also ideal for the scientist who has not had formal instruction in nonlinear dynamics, but who now desires to begin informal study. The prerequisites are multivariable calculus and introductory physics.
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This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors. A unique feature of the book is its emphasis on applications. These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with the mathematical theory. Richly illustrated, and with many exercises and worked examples, this book is ideal for an introductory course at the junior/senior or first-year graduate level.It is also ideal for the scientist who has not had formal instruction in nonlinear dynamics, but who now desires to begin informal study. The prerequisites are multivariable calculus and introductory physics.
Über den Autor
Steven H. Strogatz is professor of applied mathematics at Cornell University. He received his Ph.D. from Harvard University in 1986. Professor Strogatz has been honored with several awards including MIT's highest teaching prize, the E.M. Baker Award for Excellence in Undergraduate Teaching, as well as a Presidential Young Investigator Award from the National Science Foundation. His research on a wide variety of nonlinear systems--from synchronized fireflies to small-world networks--has been featured in the pages of Scientific American, Nature, Discover, Business Week, and The New York Times .
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2 von 2 Kunden fanden die folgende Rezension hilfreich
Von Juergen Schwab
Format:Taschenbuch|Von Amazon bestätigter Kauf
Steven Strogatz schafft es, diese komplexe und unübersichtliche Materie präzise und anschaulich darzustellen. Weder verliert er sich im weiten Gebiet der Mathematik nichtlinearer Differentialgleichungen, noch ist er zu oberflächlich. Seine Beispiele sind sehr praxisnah und helfen, die zentralen Konzepte leicht zu verstehen. Vorbildlich ist der didaktische Aufbau von einfachen eindimensionalen bis zu mehrdimensionalen Systemen und zum Chaos. Die umfangreichen Übungsaufgaben sind sehr praxisnah und vertiefen Aspekte, die den Haupttext sonst überfrachten würden.
Jedem, der einen kompakten Zugang zur Theorie nichtlinearer dynamischer Systeme sucht, sei dieses Buch wärmstens empfohlen.
Jedem, der einen kompakten Zugang zur Theorie nichtlinearer dynamischer Systeme sucht, sei dieses Buch wärmstens empfohlen.
1 von 1 Kunden fanden die folgende Rezension hilfreich
Von Ein Kunde
Format:Gebundene Ausgabe
I'm currently taking an undergraduate course that is based on this book. This is really a very well-written and readable book. After struggling with many a dry textbook, reading this book is refreshing, and for once actually catches my interest!
1 von 1 Kunden fanden die folgende Rezension hilfreich
Von Ein Kunde
Format:Gebundene Ausgabe
It is an excellent introduction to nonlinear dynamics and also one of the most instructive and well written course book I ever read.
1 von 1 Kunden fanden die folgende Rezension hilfreich
Von Ein Kunde
Format:Gebundene Ausgabe
I recently took an undergrad course which used this book as the text. This book is very easy to follow, contains great explanations and diagrams, and is just plain interesting to read. Anyone who has had a basic calc/ODE class background could understand this book.
1 von 1 Kunden fanden die folgende Rezension hilfreich
Von Ein Kunde
Format:Gebundene Ausgabe
This book is an excellent introductory graduate level text on nonlinear dynamics for those who wish to understand the basic concepts before seeing the mathematical rigor at the heart of the subject. Strogatz avoids getting caught up in mathematical nuances which often cloud the big picture for non-math students, and thereby clearly impresses upon the reader the essence of nonlinear dynamics, eventually building up to chaos. The examples and problems are truly unique and inspiring. This book is an excellent starting place for someone who knows little or nothing about nonlinear dynamics but has done some basic work with linear differential equations and linear algebra.
1 von 1 Kunden fanden die folgende Rezension hilfreich
Von Ein Kunde
Format:Gebundene Ausgabe
A very good book. Recommended for all readers familiar or even vaguely familiar with Ordinary Differential Equations and Calculus. Its informal style helps a lot. The examples are clear and enough background information is given to understand them.
1 von 1 Kunden fanden die folgende Rezension hilfreich
Von Ein Kunde
Format:Gebundene Ausgabe
This is an excelent text with challenging problems (which you should work at for a while and not give up!)and clear explanations. The book explains a mostly geometric approach, and leaves the ananlytical side to you. Buy this book even if you've never heard of "Nonlinear Dynamics". You'll be glad you did!
Von Fliedner
Format:Taschenbuch|Von Amazon bestätigter Kauf
This book is simple and introductory and deals with the complex topic of nonlinear dynamics. Of course, to deal with this topic on a scientic research level you should read books like
Die Erforschung des Chaos: Eine Einführung in die Theorie nichtlinearer Systeme
John Argyris, Gunter Faust, Maria Haase und Rudolf Friedrich
But to get a first glimpse at this topic, Strogatz is the right choice.
Die Erforschung des Chaos: Eine Einführung in die Theorie nichtlinearer Systeme
John Argyris, Gunter Faust, Maria Haase und Rudolf Friedrich
But to get a first glimpse at this topic, Strogatz is the right choice.
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Fantastic Introduction to Nonlinear Dynamics and Chaos
Strogatz gradually introduces you into the analysis of Dynamics, their interpretation and Evaluation all that with just moderate Calculus, Basic Ordinary Differential Equations and... Lesen Sie weiter...
Am 15. Februar 1998 veröffentlicht
5.0 von 5 Sternen
Great book
It is an absolutely marvelous text. I was looking for a text which introduced nonlinear dynamics and all its interesting applications to professors and scientists whose common... Lesen Sie weiter...
Am 9. Januar 1998 veröffentlicht
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