Ebook: Fractals for the Classroom: Part Two: Complex Systems and Mandelbrot Set
- Tags: Mathematics general
- Year: 1992
- Publisher: Springer-Verlag New York
- Edition: 1
- Language: English
- pdf
Fractals for the Classroom breaks new ground as it brings an exciting branch of mathematics into the classroom. The book is a collection of independent chapters on the major concepts related to the science and mathematics of fractals. Written at the mathematical level of an advanced secondary student, Fractals for the Classroom includes many fascinating insights for the classroom teacher and integrates illustrations from a wide variety of applications with an enjoyable text to help bring the concepts alive and make them understandable to the average reader. This book will have a tremendous impact upon teachers, students, and the mathematics education of the general public. With the forthcoming companion materials, including four books on strategic classroom activities and lessons with interactive computer software, this package will be unparalleled.
Content:
Front Matter....Pages i-xii
Introduction....Pages 1-7
Recursive Structures: Growing of Fractals and Plants....Pages 9-65
Pascal’s Triangle: Cellular Automata and Attractors....Pages 67-115
Deterministic Chaos: Sensitivity, Mixing, and Periodic Points....Pages 117-193
Order and Chaos: Period-Doubling and its Chaotic Mirror....Pages 195-267
Strange Attractors: The Locus of Chaos....Pages 269-350
Julia Sets: Fractal Basin Boundaries....Pages 351-414
The Mandelbrot Set: Ordering the Julia Sets....Pages 415-473
Back Matter....Pages 475-500
Content:
Front Matter....Pages i-xii
Introduction....Pages 1-7
Recursive Structures: Growing of Fractals and Plants....Pages 9-65
Pascal’s Triangle: Cellular Automata and Attractors....Pages 67-115
Deterministic Chaos: Sensitivity, Mixing, and Periodic Points....Pages 117-193
Order and Chaos: Period-Doubling and its Chaotic Mirror....Pages 195-267
Strange Attractors: The Locus of Chaos....Pages 269-350
Julia Sets: Fractal Basin Boundaries....Pages 351-414
The Mandelbrot Set: Ordering the Julia Sets....Pages 415-473
Back Matter....Pages 475-500
....