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  • Book
  • © 2002

Mathematics and Art

Mathematical Visualization in Art and Education

Editors:

(view affiliations)
  • The first collection of successful experiments in teaching and communicating mathematics through arts

  • Offers a vast amount of examples and applications of beautiful mathematical objects arising from various mathematical fields, made by mathematicians as well as by artists

  • Includes supplementary material: sn.pub/extras

Part of the book series: Mathematics and Visualization (MATHVISUAL)

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eBook
USD 139.00
Price excludes VAT (USA)
  • ISBN: 978-3-662-04909-9
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 179.99
Price excludes VAT (USA)
Hardcover Book
USD 179.99
Price excludes VAT (USA)

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Table of contents (28 chapters)

  1. Front Matter

    Pages I-X
  2. Solid-Segment Sculptures

    • George W. Hart
    Pages 17-27
  3. Visualizing Mathematics — Online

    • Konrad Polthier
    Pages 29-42
  4. Machines for Building Symmetry

    • Maria Dedò
    Pages 61-77
  5. The Garden of Eden

    • Charles O. Perry
    Pages 89-90
  6. Visualization and Dynamical Systems

    • John Hubbard
    Pages 91-94
  7. Solving Polynomials by Iteration

    • Scott Crass
    Pages 95-104
  8. Mathematics and Art: The Film Series

    • Michele Emmer
    Pages 119-133
  9. Guided Tours of Buried Galleries (Inside a Computer)

    • Jean-François Colonna
    Pages 135-139
  10. Symbolic Sculptures

    • John Robinson
    Pages 149-152
  11. FORUM: How Art Can Help the Teaching of Mathematics?

    • Claude-Paul Bruter
    Pages 153-154
  12. Forum Discussion

    • Ronnie Brown
    Pages 155-159
  13. Forum Discussion: Presentation of the Atractor

    • Manuel Arala Chaves
    Pages 160-165
  14. Forum Discussion

    • Michele Emmer
    Pages 166-167
  15. Forum Discussion

    • Michael Field
    Pages 168-172

About this book

Recent progress in research, teaching and communication has arisen from the use of new tools in visualization. To be fruitful, visualization needs precision and beauty. This book is a source of mathematical illustrations by mathematicians as well as artists. It offers examples in many basic mathematical fields including polyhedra theory, group theory, solving polynomial equations, dynamical systems and differential topology. For a long time, arts, architecture, music and painting have been the source of new developments in mathematics. And vice versa, artists have often found new techniques, themes and inspiration within mathematics. Here, while mathematicians provide mathematical tools for the analysis of musical creations, the contributions from sculptors emphasize the role of mathematics in their work. This book emphasizes and renews the deep relation between Mathematics and Art. The Forum Discussion suggests to develop a deeper interpenetration between these two cultural fields, notably in the teaching of both Mathematics and Art.

Keywords

  • Art
  • Augmented Reality
  • Communication
  • Teaching
  • algebra
  • differential topology
  • equation
  • mathematics
  • topology
  • visualization

Reviews

From the reviews:

"This book gives a summary of a Colloquium held in Maubeuge (France) in September 2000. The Colloquium was based on the relations between Arts and Mathematics (in particular, on the art of visualization of mathematics), and contained a collection of 27 talks given by artists as well as mathematicians … . An Appendix of more than fifty pages at the end of the book shows beautiful pictures of models, sculptures and computer graphics linked to the papers discussed. A beautiful book!" (I. Pola, Nieuw Archief voor Wiskunde, Vol. 5/4 (4), 2003)

"This book contains the proceedings of a Colloquium on Mathematics and Art held in Maubeuge (France) in September 2000. … The References give a comprehensive list of sources for further study and most papers refer to websites which widen the reader’s appreciation of the topic. … Readers … will find some of the themes and related material developed in the book of interest. Some readers will find considerable value in having the book as a reference." (W. P. Galvin, The Australian Mathematical Society Gazette, Vol. 30 (2), 2003)

"This book must have been a delight to put together. It contains 28 essays by 25 authors from 8 countries, and covers at least 5 disciplines (mathematics and art, of course, but also computer science, film and music). … The strength of this collection of works is that it comes from a collection of talented people who have a lot to say on the subject of visualization in mathematics and art." (Annalisa Crannel, MAA Online, April, 2003)

Editors and Affiliations

  • Mathématiques, UER Sciences, Université Paris XII, Creteil Cedex, France

    Claude P. Bruter

Bibliographic Information

Buying options

eBook
USD 139.00
Price excludes VAT (USA)
  • ISBN: 978-3-662-04909-9
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 179.99
Price excludes VAT (USA)
Hardcover Book
USD 179.99
Price excludes VAT (USA)