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  • Textbook
  • © 1992

Fractals for the Classroom

Part Two: Complex Systems and Mandelbrot Set

Authors:

  1. Heinz-Otto Peitgen

    1. Institut für Dynamische Systeme, Universität Bremen, Bremen 33, Federal Republic of Germany
      Department of Mathematics, Florida Atlantic University, Boca Raton, USA

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  2. Hartmut Jürgens

    1. Institut für Dynamische Systeme, Universität Bremen, Bremen 33, Federal Republic of Germany

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  3. Dietmar Saupe

    1. Institut für Dynamische Systeme, Universität Bremen, Bremen 33, Federal Republic of Germany

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xii
    PDF

  2. Introduction

    • Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
    Pages 1-7

  3. Recursive Structures: Growing of Fractals and Plants

    • Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
    Pages 9-65

  4. Pascal’s Triangle: Cellular Automata and Attractors

    • Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
    Pages 67-115

  5. Deterministic Chaos: Sensitivity, Mixing, and Periodic Points

    • Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
    Pages 117-193

  6. Order and Chaos: Period-Doubling and its Chaotic Mirror

    • Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
    Pages 195-267

  7. Strange Attractors: The Locus of Chaos

    • Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
    Pages 269-350

  8. Julia Sets: Fractal Basin Boundaries

    • Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
    Pages 351-414

  9. The Mandelbrot Set: Ordering the Julia Sets

    • Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
    Pages 415-473

  10. Back Matter

    Pages 475-500
    PDF
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About this book

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.
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Keywords

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Authors and Affiliations

  • Institut für Dynamische Systeme, Universität Bremen, Bremen 33, Federal Republic of Germany

    Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe

  • Department of Mathematics, Florida Atlantic University, Boca Raton, USA

    Heinz-Otto Peitgen

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Bibliographic Information

  • Book Title: Fractals for the Classroom

  • Book Subtitle: Part Two: Complex Systems and Mandelbrot Set

  • Authors: Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe

  • DOI: https://doi.org/10.1007/978-1-4612-4406-6

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1992

  • Hardcover ISBN: 978-0-387-97722-5Published: 26 August 1992

  • Softcover ISBN: 978-1-4612-8758-2Published: 26 September 2011

  • eBook ISBN: 978-1-4612-4406-6Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XII, 500

  • Topics: Geometry

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Buy it now

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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