A First Course in Discrete Dynamical Systems

Images of Mandelbrot and Julia sets abound in publications both mathematical and not. The mathematics behind the pictures are beautiful in their own right and are the subject of this text.

A First Course in Discrete Dynamical Systems

Given the ease with which computers can do iteration it is now possible for almost anyone to generate beautiful images whose roots lie in discrete dynamical systems. Images of Mandelbrot and Julia sets abound in publications both mathematical and not. The mathematics behind the pictures are beautiful in their own right and are the subject of this text. Mathematica programs that illustrate the dynamics are included in an appendix.

More Books:

A First Course in Discrete Dynamical Systems
Language: en
Pages: 223
Authors: Richard A. Holmgren
Categories: Mathematics
Type: BOOK - Published: 2012-09-05 - Publisher: Springer Science & Business Media

Given the ease with which computers can do iteration it is now possible for almost anyone to generate beautiful images whose roots lie in discrete dynamical systems. Images of Mandelbrot and Julia sets abound in publications both mathematical and not. The mathematics behind the pictures are beautiful in their own
A First Course in Discrete Dynamical Systems
Language: en
Pages: 244
Authors: Richard A Holmgren
Categories: Mathematics
Type: BOOK - Published: 1996-08-01 - Publisher:

Books about A First Course in Discrete Dynamical Systems
A First Course in Discrete Dynamical Systems
Language: en
Pages: 214
Authors: Richard A. Holmgren
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

An introduction to both topics in dynamical systems and mathematical thinking. In particular, the authors emphasize those parts of mathematical analysis necessary for understanding the intricacies of a discrete dynamical system. The organizing principle is the understanding of the parametrized family of functions h(x) = rx(1-x). Readers should have some
A First Course In Chaotic Dynamical Systems
Language: en
Pages: 318
Authors: Robert L. L. Devaney
Categories: Mathematics
Type: BOOK - Published: 2020-04-21 - Publisher: CRC Press

A First Course in Chaotic Dynamical Systems: Theory and Experiment, Second Edition The long-anticipated revision of this well-liked textbook offers many new additions. In the twenty-five years since the original version of this book was published, much has happened in dynamical systems. Mandelbrot and Julia sets were barely ten years
Discovering Discrete Dynamical Systems
Language: en
Pages: 116
Authors: Aimee Johnson, Kathleen Madden, Ayse Sahin
Categories: Mathematics
Type: BOOK - Published: 2017-12-31 - Publisher: American Mathematical Soc.

Discovering Discrete Dynamical Systems is a mathematics textbook designed for use in a student-led, inquiry-based course for advanced mathematics majors. Fourteen modules each with an opening exploration, a short exposition and related exercises, and a concluding project guide students to self-discovery on topics such as fixed points and their classifications,