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Mathematics and Art: Mathematical Visualization in Art and Education (Mathematics and Visualization)

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Mathematics and Art: Mathematical Visualization in Art and Education (Mathematics and Visualization) Cover

 

Synopses & Reviews

Publisher Comments:

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.

Table of Contents

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

Product Details

ISBN:
9783642077821
Author:
Bruter, Claude P.
Publisher:
Springer
Location:
Berlin, Heidelberg
Subject:
Graphic Methods
Subject:
Art
Subject:
Communication
Subject:
Mathematics
Subject:
Teaching
Subject:
Visualization
Subject:
Geometry
Subject:
Topology
Subject:
Computer Imaging, Vision, Pattern Recognition and Graphics
Subject:
Computer Imaging, Vision, Pattern Recognition and Graphics The first collection of successful experiments in teaching and communicating mathematics through arts<BR>Offers a vast amount of examples and applications of beautiful mathematical objects arising
Subject:
Mathematics - General
Subject:
B
Subject:
mathematics and statistics
Subject:
Computer Vision
Copyright:
Edition Description:
Softcover reprint of hardcover 1st ed. 2002
Series:
Mathematics and Visualization
Publication Date:
20101215
Binding:
TRADE PAPER
Language:
English
Pages:
347
Dimensions:
235 x 155 mm 524 gr

Related Subjects

Computers and Internet » Computers Reference » General
Science and Mathematics » Materials Science » General
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry

Mathematics and Art: Mathematical Visualization in Art and Education (Mathematics and Visualization) New Trade Paper
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Product details 347 pages Not Avail - English 9783642077821 Reviews:
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