Manifold Mirrors
The Crossing Paths of the Arts and Mathematics
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40 131 Ft
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Estimated delivery time: In stock at the publisher, but not at Prospero's office. Delivery time approx. 3-5 weeks.
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Product details:
- Publisher Cambridge University Press
- Date of Publication 25 April 2013
- ISBN 9780521429634
- Binding Hardback
- No. of pages426 pages
- Size 244x170x24 mm
- Weight 880 g
- Language English
- Illustrations 55 b/w illus. 100 colour illus. 30 music examples 0
Categories
Short description:
This fascinating book will interest anyone wanting to learn more about the relationship between mathematics and the arts.
MoreLong description:
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.
'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
Table of Contents:
Mathematics: user's manual; Appetizers; 1. Space and geometry; 2. Motions on the plane; 3. The many symmetries of planar objects; 4. The many objects with planar symmetries; 5. Reflections on the mirror; 6. A raw material; 7. Stretching the plane; 8. Aural wallpaper; 9. The dawn of perspective; 10. A repertoire of drawing systems; 11. The vicissitudes of perspective; 12. The vicissitudes of geometry; 13. Symmetries in non-Euclidean geometries; 14. The shape of the universe; Appendix: rule-driven creation; References; Acknowledgements; Index of symbols; Index of names; Index of concepts.
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