Mathematics and Art: Mathematical Visualization in Art and Education / Edition 1

Paperback (Print)
Buy New
Buy New from
Used and New from Other Sellers
Used and New from Other Sellers
from $137.21
Usually ships in 1-2 business days
(Save 27%)
Other sellers (Paperback)
  • All (9) from $137.21   
  • New (7) from $137.21   
  • Used (2) from $188.99   


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.

Read More Show Less

Editorial Reviews

From the Publisher
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)

Read More Show Less

Product Details

  • ISBN-13: 9783642077821
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 12/15/2010
  • Series: Mathematics and Visualization Series
  • Edition description: Softcover reprint of hardcover 1st ed. 2002
  • Edition number: 1
  • Pages: 337
  • Product dimensions: 0.72 (w) x 9.21 (h) x 6.14 (d)

Table of Contents

Presentation of the Colloquium. The ARPAM Project.- Solid-Segment Sculptures.- Visualizing Mathematics — Online.- The Design of 2-Colour Wallpaper Patterns Using Methods Based on Chaotic Dynamics and Symmetry.- Machines for Building Symmetry.- The Mathematics of Tuning Musical Instruments — a Simple Toolkit for Experiments.- The Garden of Eden.- Visualization and Dynamical Systems.- Solving Polynomials by Iteration.- Mathematical Aspects in the Second Viennese School of Music.- Mathematics and Art: The Film Series.- Guided Tours of Buried Galleries (Inside a Computer).- A Mathematical Interpretation of Expressive Intonation.- Symbolic Sculptures.- FORUM: How Art Can Help the Teaching of Mathematics?.- Forum Discussion.- Forum Discussion: Presentation of the Atractor.- Forum Discussion.- Forum Discussion.- Getting Out of the Box and Into the Sphere.- Constructing Wire Models.- Sphere Eversions: from Smale through “The Optiverse”.- Tactile Mathematics.- Hyperseeing, Knots, and Minimal Surfaces.- Ruled Sculptures.- A Gallery of Algebraic Surfaces.- The Mathematical Exploratorium.- Copper Engravings.- Appendix: Color Plates.

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)