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Catalogue Information
Field name	Details
Dewey Class	004
Title	Mathematics and Art ([EBook]) : Mathematical Visualization in Art and Education / edited by Claude P. Bruter.
Added Personal Name	Bruter, Claude Paul
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 2002.
Physical Details	X, 337 pages : 223 illus., 92 illus. in color. : online resource.
Series	Mathematics and visualization 1612-3786
ISBN	9783662049099
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-662-04909-9
Links to Related Works	Subject References: Computer Graphics . Computer Imaging, Vision, Pattern Recognition and Graphics . Geometry . Mathematics . Topology . Visualization . Authors: Bruter, Claude Paul . Bruter, Claude Paul . editor . Corporate Authors: SpringerLink (Online service) . Series: Mathematics and visualization . Classification: 004 .

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Mathematics and Art: Mathematical Visualization in Art and Education

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