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Felipe Cucker - Manifold Mirrors, Häftad

Häftad, Engelska, 2013

Manifold Mirrors

The Crossing Paths of the Arts and Mathematics

Av Felipe Cucker

589 kr

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Beskrivning
Most works of art, whether illustrative, musical or literary, are created subject to a set of constraints. In many (but not all) cases, these constraints have a mathematical nature, for example, the geometric transformations governing the canons of J. S. Bach, the various projection systems used in classical painting, the catalog of symmetries found in Islamic art, or the rules concerning poetic structure. This fascinating book describes geometric frameworks underlying this constraint-based creation. The author provides both a development in geometry and a description of how these frameworks fit the creative process within several art practices. He furthermore discusses the perceptual effects derived from the presence of particular geometric characteristics. The book began life as a liberal arts course and it is certainly suitable as a textbook. However, anyone interested in the power and ubiquity of mathematics will enjoy this revealing insight into the relationship between mathematics and the arts.
Produktinformation
  • Utgivningsdatum: 2013-04-25
  • Mått: 174 x 247 x 20 mm
  • Vikt: 860 g
  • Format: Häftad
  • Språk: Engelska
  • Antal sidor: 424
  • Förlag: Cambridge University Press
  • ISBN: 9780521728768
  • Utmärkelser: Short-listed for PROSE Award for Mathematics 2013
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Mer information

Felipe Cucker is Chair Professor of Mathematics at the City University of Hong Kong. His research covers a variety of subjects including semi-algebraic geometry, computer algebra, complexity, emergence in decentralized systems (in particular, emergence of languages and flocking), learning theory, and foundational aspects of numerical analysis. He serves on the editorial board of several journals and is Managing Editor of the journal Foundations of Computational Mathematics, published by the society of the same name.

Recensioner i media

'Cucker [has] produced a pot au feu, an eclectic catch-all. There is much that can be learned from [his] presentation of the marriage of mathematics and art. I consider Manifold Mirrors Arcimboldesque in that it is an assemblage of many basic mathematical ideas and constructs, [adding] up to … well, to a unique work.' Philip J. Davis, SIAM News

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