Fractal worlds : grown, built, and imagined / Michael Frame, Amelia Urry.

Format:

Book

Author/Creator:

Frame, Michael, Author.

Urry, Amelia, Author.

Language:

English

Subjects (All):

Fractals.

Physical Description:

1 online resource (536 p.)

Place of Publication:

New Haven, CT : Yale University Press, [2016]

Language Note:

In English.

Summary:

Fractal geometry is a uniquely fascinating area of mathematics, exhibited in a range of shapes that exist in the natural world, from a simple broccoli floret to a majestic mountain range. In this essential primer, mathematician Michael Frame-a close collaborator with Benoit Mandelbrot, the founder of fractal geometry-and poet Amelia Urry explore the amazing world of fractals as they appear in nature, art, medicine, and technology. Frame and Urry offer new insights into such familiar topics as measuring fractal complexity by dimension and the life and work of Mandelbrot. In addition, they delve into less-known areas: fractals with memory, the Mandelbrot set in four dimensions, fractals in literature, and more. An inviting introduction to an enthralling subject, this comprehensive volume is ideal for learning and teaching.

Contents:

Frontmatter

Contents

Foreword / Strogatz, Steven

Introduction

Chapter 1. What is the shape of the world around us?

Chapter 2. Self-similarity in geometry

Chapter 3. Self-similarity in the wild

Chapter 4. Manufactured fractals

Chapter 5. The Mandelbrot set: infinite complexity from a simple formula

Chapter 6. Quantifying fractals: What is fractal dimension?

Chapter 7. Further developments

Chapter 8. Valediction

Appendix A. A look under the hood: Some technical notes

Appendix B. Solutions to the problems

References

Acknowledgments

Figure credits

Index

Notes:

Includes index.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Feb 2020)

ISBN:

0-300-22070-7

OCLC:

953659210