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

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

by Claude Bruter
     
 

View All Available Formats & Editions

ISBN-10: 364207782X

ISBN-13: 9783642077821

Pub. Date: 12/15/2010

Publisher: Springer Berlin Heidelberg

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

Overview

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.

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
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.

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >