Fractals for the Classroom: Part One Introduction to Fractals and Chaos

ISBN-13: 9781475721744 / Angielski / Miękka / 2012 / 450 str.

Heinz-Otto Peitgen;Hartmut Jurgens;Dietmar Saupe

Opis

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.

Spis treści

1 The Backbone of Fractals: Feedback and the Iterator.- 2 Classical Fractals and Self-Similarity.- 3 Limits and Self-Similarity.- 4 Length, Area and Dimension: Measuring Complexity and Scaling Properties.- 5 Encoding Images by Simple Transformations.- 6 The Chaos Game: How Randomness Creates Deterministic Shapes.- 7 Irregular Shapes: Randomness in Fractal Constructions.