The study of nonlinear dynamical systems has exploded in the past 25 years, and Robert L. Devaney has made these advanced research developments accessible to undergraduate and graduate mathematics students as well as researchers in other disciplines with the introduction of this widely praised book.In this second edition of his best-selling text, Devaney includes new material on the orbit diagram fro maps of the interval and the Mandelbrot set, as well as striking color photos illustrating both Julia and Mandelbrot sets.This book assumes no prior acquaintance with advanced mathematical topics such as measure theory, topology, and differential geometry, Assuming only a knowledge of calculus, Devaney introduces many of the basic concepts of modern dynamical systems theory and leads the reader to the point of current research in several areas. The first two chapters introduce the reader to a broad spectrum of fundamental topics in dynamics: hyperbolicity, symbolic dynamics, structural stability, stable and unstable manifolds and bifurcation theory. Readers familiar with linear algebra and complex analysis will be led to the brink of contemporary research in the book’s concluding chapter, but for anyone with a background in calculus, Devaney provides a comprehensive exploration into the mathematics of chaos.

An Introduction To Chaotic Dynamical Systems, Second Edition (Addison-Wesley Studies in Nonlinearity)

Science & Math

Devaney, Robert

Mathematics

CRC-Press

More than 30 schools adopted prepublication versions of this innovative new text before its release. The excitement is spreading - and your students should be a part of it! We are in the midst of a technological revolution, for which no other course on the mathematics curriculum is more significant than differential equations. Computers and graphing calculators can now rapidly graph approximate solutions that students must be prepared to interpret and evaluate for validity. Now more than ever, students must learn to think graphically as well as analytically, since graphical illustration of quantitative information shapes how we communicate today. There is also a "nonlinear revolution" occurring in the sciences, engineering, and mathematics. Approaches that embrace a multitude of perspectives are growing in popularity, finding a place alongside conventional linear thinking. In differential equations, this means students should emerge from a course of study able to distinguish the difference between linear and nonlinear phenomena. They must also be able to evaluate the validity of techniques applied to nonlinear systems as well as linear ones. If you've recognized the signals of this revolution in your department, you should take a look at the fresh new approach taken in this text.

Differential Equations, Preliminary Edition

Hall, Glen R.

Blanchard, Paul.

Brooks/Cole

The study of nonlinear dynamical systems has exploded in the past 25 years, and Robert L. Devaney has made these advanced research developments accessible to undergraduate and graduate mathematics students as well as researchers in other disciplines with the introduction of this widely praised book. In this second edition of his best-selling text, Devaney includes new material on the orbit diagram fro maps of the interval and the Mandelbrot set, as well as striking color photos illustrating both Julia and Mandelbrot sets. This book assumes no prior acquaintance with advanced mathematical topics such as measure theory, topology, and differential geometry. Assuming only a knowledge of calculus, Devaney introduces many of the basic concepts of modern dynamical systems theory and leads the reader to the point of current research in several areas.

An Introduction to Chaotic Dynamical Systems, 2nd Edition

Devaney, Robert L.

Incorporating an innovative modeling approach, this book for a one-semester differential equations course emphasizes conceptual understanding to help users relate information taught in the classroom to real-world experiences. Certain models reappear throughout the book as running themes to synthesize different concepts from multiple angles, and a dynamical systems focus emphasizes predicting the long-term behavior of these recurring models. Users will discover how to identify and harness the mathematics they will use in their careers, and apply it effectively outside the classroom.

Differential Equations (with DE Tools Printed Access Card)

Hall, Glen

Cengage Learning'

Fractals: A Tool Kit of Dynamics Activities Fractals reveals the complicated and rich geometry of natural objects and how these objects can often be modeled with fractals. Explore the gorgeous images known as Sierpinski triangles and Koch curves, as well as other fractal shapes. The book can be used in many mathematics courses, but is especially suited to a geometry class. Grades 7-College

Fractals: A Tool Kit of Dynamic Activities

Choate, Jonathan

Foster, Alice

Key Curriculum Press

Chaos: A Tool Kit of Dynamics Activities This book introduces and explores the mathematical phenomenon known as chaos. One of the major topics for discussion is the butterfly effect, where very small changes in the initial configuration of a system lead to great discrepancies down the road. To study this effect, youll use graphing calculators and spreadsheet software. While applicable to many mathematics courses, Chaos works especially well as a supplement to your algebra curriculum. Grades 7-12

Chaos (The Tool Kit of Dynamic Activities)

Computers & Technology

See the best price to sell, buy, or rent books by Devaney, Robert. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.