F. Cucker, Felipe Cucker

Manifold Mirrors

The Crossing Paths of the Arts and Mathematics

• Gebundenes Buch

Produktbeschreibung

This fascinating book will interest anyone wanting to learn more about the relationship between mathematics and the arts.

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Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 426
• Erscheinungstermin: 20. Juni 2014
• Englisch
• Abmessung: 250mm x 175mm x 27mm
• Gewicht: 910g
• ISBN-13: 9780521429634
• ISBN-10: 0521429633
• Artikelnr.: 38078010

Autorenporträt

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.

Inhaltsangabe

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.