Mathematics and Art

Mathematical Visualization in Art and Education

  • Claude P. Bruter

Part of the Mathematics and Visualization book series (MATHVISUAL)

Table of contents

  1. Front Matter
    Pages I-X
  2. George W. Hart
    Pages 17-27
  3. Konrad Polthier
    Pages 29-42
  4. Maria Dedò
    Pages 61-77
  5. Charles O. Perry
    Pages 89-90
  6. John Hubbard
    Pages 91-94
  7. Scott Crass
    Pages 95-104
  8. Michele Emmer
    Pages 119-133
  9. Jean-François Colonna
    Pages 135-139
  10. John Robinson
    Pages 149-152
  11. Claude-Paul Bruter
    Pages 153-154
  12. Ronnie Brown
    Pages 155-159
  13. Manuel Arala Chaves
    Pages 160-165
  14. Michele Emmer
    Pages 166-167
  15. Michael Field
    Pages 168-172
  16. Dick Termes
    Pages 173-177
  17. François Apéry
    Pages 179-200
  18. Stewart Dickson
    Pages 213-222
  19. Nathaniel A. Friedman
    Pages 223-232
  20. Philippe Charbonneau
    Pages 233-236
  21. Bruce Hunt
    Pages 237-266
  22. Richard S. Palais
    Pages 267-272
  23. Patrice Jeener
    Pages 273-274
  24. Back Matter
    Pages 275-337

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.


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

Editors and affiliations

  • Claude P. Bruter
    • 1
  1. 1.Mathématiques, UER SciencesUniversité Paris XIICreteil CedexFrance

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2002
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-07782-1
  • Online ISBN 978-3-662-04909-9
  • Series Print ISSN 1612-3786
  • Buy this book on publisher's site