Mathematics and Art
Subtitle: Mathematical Visualization in Art and Education
By: edited by Claude P. Bruter
Series: Mathematics and Visualization; Mathematics and Visualization
Publisher: Springer Berlin Heidelberg
Published: 2002
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 337
ISBN-13: 9783642077821; 9783662049099
Subjects: Geometry; Mathematics; Computer vision; Visualization; Topology
Description: 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.
Notes: Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.
Table of contents: title: From the contents: C.P. BRUTER: Presentation of the Colloquium. The ARPAM Project; title: G. HART: Solid-Segment Sculptures; title: K. POLTHIER: Visualizing Mathematics Online; title: M. FIELD: The Design of 2-colour Wallpaper Patterns Using Methods Based on Chaotic Dynamics and Symmetry; title: M. DEDO: Machines for Building Symmetry; title: E. NEUWIRTH: The Mathematics of Tuning Musical Instruments; title: Ch.O. PERRY: The Garden of Eden; title: J. HUBBARD: Visualisation and Dynamical Systems; title: S. CRASS: Solving Polynomials by Iteration; title: C. SIMOES: Mathematical Aspects in the Second Viennese School of Music; title: M. EMMER: Mathematics and Art: the Films Series; title: J.-F. COLONNA: Guided Tours of Buried Galleries; title: Y. HELLEGOUARCH: A Mathematical Interpretation of Expressive Intonation; title: J. ROBINSON: Symbolic Sculpture - Forum: How Art Can Help the Teaching of Mathematics; title: D. TERMES: Getting out of the Box and into the Sphere; title: F. APERY: Constructing Wire Models; title: J. SULLIVAN: The Optiverse and Other Sphere Eversions.