Mathematics and Visualization

Mathematics and Art

Mathematical Visualization in Art and Education

Editors: Bruter, Claude (Ed.)

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  • ISBN 978-3-662-04909-9
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  • ISBN 978-3-540-43422-1
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Softcover $189.00
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  • ISBN 978-3-642-07782-1
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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.

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)


Table of contents (28 chapters)

  • Presentation of the Colloquium. The ARPAM Project

    Bruter, Claude-Paul

    Pages 1-15

  • Solid-Segment Sculptures

    Hart, George W.

    Pages 17-27

  • Visualizing Mathematics — Online

    Polthier, Konrad

    Pages 29-42

  • The Design of 2-Colour Wallpaper Patterns Using Methods Based on Chaotic Dynamics and Symmetry

    Field, Michael

    Pages 43-60

  • Machines for Building Symmetry

    Dedò, Maria

    Pages 61-77

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-3-662-04909-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-3-540-43422-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • ISBN 978-3-642-07782-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Mathematics and Art
Book Subtitle
Mathematical Visualization in Art and Education
Editors
  • Claude Bruter
Series Title
Mathematics and Visualization
Copyright
2002
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-04909-9
DOI
10.1007/978-3-662-04909-9
Hardcover ISBN
978-3-540-43422-1
Softcover ISBN
978-3-642-07782-1
Series ISSN
1612-3786
Edition Number
1
Number of Pages
X, 337
Number of Illustrations and Tables
131 b/w illustrations, 92 illustrations in colour
Topics