Skip to main content
SpringerLink
Log in

Introduction to Fractals

  • Conference paper
  • First Online:
Fractals, Wavelets, and their Applications

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 92))

  • 1918 Accesses

Abstract

This non-technical introduction tries to place fractal geometry into the development of contemporary mathematics. Fractals were introduced by Mandelbrot to model irregular phenomena in nature. Many of them were known before as mathematical counterexamples. The essential model assumption is self-similarity which makes it possible to describe fractals by parameters which are called dimensions or exponents. Most fractals are constructed from dynamical systems. Measures and probability theory play an important part in the study of fractals.

Workshop on Fractals and Wavelets at Rajagiri School, Kochi, India, 9 Nov 2013.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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

Purchases are for personal use only

Institutional subscriptions

References

  1. Barnsley, M.F.: Fractals Everywhere. Academic, Cambridge (1988)

    MATH  Google Scholar 

  2. Edgar, G.A.: Classics on Fractals. Addison-Wesley, Reading (1993)

    MATH  Google Scholar 

  3. Falconer, K.J.: Fractal Geometry: Mathematical Foundations and Applications. Wiley, Chichester (1990)

    MATH  Google Scholar 

  4. Hutchinson, J.E.: Fractals and self-similarity. Indiana Univ. Math. J. 30, 713–747 (1981)

    Article  MathSciNet  MATH  Google Scholar 

  5. Mandelbrot, B.B.: The Fractal Geometry of Nature. Freeman, San Francisco (1982)

    MATH  Google Scholar 

  6. Mandelbrot, B.B.: The Fractalist: Memoir of a Scientific Maverick. Pantheon, New York (2012)

    Google Scholar 

  7. Peitgen, H.O., Jürgens, H., Saupe, D.: Chaos and Fractals. Springer, New York (1992)

    Book  Google Scholar 

  8. Prusinkiewisz, P., Lindenmayer, A.: The Fractal Beauty of Plants. Springer, New York (1992)

    Google Scholar 

  9. Schroeder, M.R.: Fractals, Chaos, Power Laws. Freeman, New York (1991)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Mathematik und Informatik, Universität Greifswald, 17487, Greifswald, Germany

    Christoph Bandt

Authors
  1. Christoph Bandt
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Christoph Bandt .

Editor information

Editors and Affiliations

  1. Institut für Mathematik und Informatik, Universität Greifswald, Greifswald, Mecklenburg-Vorpomm., Germany

    Christoph Bandt

  2. Mathematical Sciences Institute, Australian National University, Canberra, Australia

    Michael Barnsley

  3. Math Department, Boston University, Boston, Massachusetts, USA

    Robert Devaney

  4. Mathematical Institute, University of St Andrews, St Andrews, Fife, United Kingdom

    Kenneth J. Falconer

  5. Department of Mathematics and Statistics, University of Hyderabad, Hyderabad, India

    V. Kannan

  6. Department of Basic Sciences & Humanities, Rajagiri School of Engineering & Technology, Kerala, India

    Vinod Kumar P.B.

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Bandt, C. (2014). Introduction to Fractals. In: Bandt, C., Barnsley, M., Devaney, R., Falconer, K., Kannan, V., Kumar P.B., V. (eds) Fractals, Wavelets, and their Applications. Springer Proceedings in Mathematics & Statistics, vol 92. Springer, Cham. https://doi.org/10.1007/978-3-319-08105-2_1

Download citation

Publish with us

Policies and ethics

Search

Navigation