Skip to main content

Part of the book series: Undergraduate Texts in Mathematics ((UTM))

Abstract

Next we come to the “Hausdorff dimension”. This is the dimension singled out by Mandelbrot when he defined “fractal”. It is perhaps a bit more difficult to define than some of the other kinds of dimension that have been (and will be) considered. But it is also the most useful of the fractal dimensions.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer Science+Business Media New York

About this chapter

Cite this chapter

Edgar, G.A. (1990). Hausdorff Dimension. In: Measure, Topology, and Fractal Geometry. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4134-6_6

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-4134-6_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4757-4136-0

  • Online ISBN: 978-1-4757-4134-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics