Description |
1 online resource (viii, 178 pages) : illustrations (some color) |
Series |
Springer proceedings in mathematics, 2190-5614 ; v. 18 |
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Springer proceedings in mathematics ; v. 18.
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Contents |
A Mathematician and an Artist. The Story of a Collaboration / Richard S. Palais -- Dimensions, a Math Movie / Aurélien Alvarez and Jos Leys -- Old and New Mathematical Models: Saving the Heritage of the Institut Henri Poincaré / François Apéry -- An Introduction to the Construction of Some Mathematical Objects / Claude Paul Bruter -- Computer, Mathematics and Art / Jean-François Colonna -- Structure of Visualization and Symmetry in Iterated Function Systems / Jean Constant -- M.C. Escher's Use of the Poincaré Models of Hyperbolic Geometry / Douglas Dunham -- Mathematics and Music Boxes / Vi Hart -- My Mathematical Engravings / Patrice Jeener -- Knots and Links As Form-Generating Structures / Dmitri Kozlov -- Geometry and Art from the Cordovan Proportion / Antonia Redondo Buitrago and Encarnación Reyes Iglesias -- Dynamic Surfaces / Simon Salamon -- Pleasing Shapes for Topological Objects / John M. Sullivan -- Rhombopolyclonic Polygonal Rosettes Theory / François Tard |
Summary |
The link between mathematics and art remains as strong today as it was in the earliest instances of decorative and ritual art. Arts, architecture, music and painting have for a long time been sources of new developments in mathematics, and vice versa. Many great painters have seen no contradiction between artistic and mathematical endeavors, contributing to the progress of both, using mathematical principles to guide their visual creativity, enriching their visual environment with the new objects created by the mathematical science. Owing to the recent development of the so nice techniques for visualization, while mathematicians can better explore these new mathematical objects, artists can use them to emphasize their intrinsic beauty, and create quite new sceneries. This volume, the content of the first conference of the European Society for Mathematics and the Arts (ESMA), held in Paris in 2010, gives an overview on some significant and beautiful recent works where maths and art, including architecture and music, are interwoven. The book includes a wealth of mathematical illustrations from several basic mathematical fields including classical geometry, topology, differential geometry, dynamical systems. Here, artists and mathematicians alike elucidate the thought processes and the tools used to create their work |
Analysis |
Mathematics |
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Computer science |
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Computer vision |
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Visualization |
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Geometry |
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Mathematics in Art and Architecture |
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Mathematics of Computing |
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Image Processing and Computer Vision |
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beeldverwerking |
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image processing |
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machine vision |
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computerwiskunde |
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computational mathematics |
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visualisatie |
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wiskunde |
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meetkunde |
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kunst |
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arts |
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architectuur |
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architecture |
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Mathematics (General) |
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Wiskunde (algemeen) |
Bibliography |
Includes bibliographical references and index |
Notes |
English |
Subject |
Mathematics in art -- Congresses
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Art -- Mathematics -- Congresses
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Arte -- Matemáticas
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Matemáticas en el arte -- Congresos
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Art -- Mathematics
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Mathematics in art
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Genre/Form |
proceedings (reports)
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Conference papers and proceedings
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Conference papers and proceedings.
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Actes de congrès.
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Form |
Electronic book
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Author |
Bruter, Claude Paul.
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ISBN |
9783642244971 |
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3642244971 |
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3642244963 |
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9783642244964 |
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