This text on differential equations seeks to strike a balance between analytic, numeric and graphical techniques, emphasizes modelling, stresses qualitative theory throughout the course, uses technology, presents linear and nonlinear systems in parallel, and includes an introduction to discrete models of dynamical systems.
A First Course in Chaotic Dynamical Systems: Theory and Experiment is the first book to introduce modern topics in dynamical systems at the undergraduate level. Accessible to readers with only a background in calculus, the book integrates both theory and computer experiments into its coverage of contemporary ideas in dynamics. It is designed as ...
Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. It explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the standard textbook for graduate courses in this area. The Second Edition now ...
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 ...
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, ...
In the last fifteen years, the Mandelbrot set has emerged as one of the most recognizable objects in mathematics. While there is no question of its beauty, relatively few people appreciate the fact that the mathematics behind such images is equally beautiful. This book presents lectures delivered during the AMS Short Course entitled 'Complex ...
Chaotic behavior of (even the simplest) iterations of polynomial maps of the complex plane was known for almost one hundred years due to the pioneering work of Farou, Julia, and their contemporaries. However, it was only twenty-five years ago that the first computer generated images illustrating properties of iterations of quadratic maps appeared. ...
- El enfasis sobre los aspectos de la interpretacion, la descripcion cualitativa, los informes de laboratorio y las explicaciones por escrito ayuda a los estudiantes a comprender los conceptos. El texto motiva a los estudiantes a pensar de manera grafica y analitica. - Un capitulo dedicado a los sistemas dinamicos discretos ofrece una relacion ...
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