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＜E-Book＞
Mathematics and Art : Mathematical Visualization in Art and Education / edited by Claude P. Bruter
(Mathematics and Visualization. ISSN:2197666X)

Edition	1st ed. 2002.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	2002
Language	English
Size	X, 337 p. 223 illus., 92 illus. in color : online resource
Authors	Bruter, Claude P editor SpringerLink (Online service)
Subjects	LCSH:Information visualization LCSH:Geometry LCSH:Topology LCSH:Image processing -- Digital techniques  All Subject Search LCSH:Computer vision FREE:Data and Information Visualization FREE:Geometry FREE:Topology FREE:Computer Imaging, Vision, Pattern Recognition and Graphics
Notes	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 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 HTTP:URL=https://doi.org/10.1007/978-3-662-04909-9

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