Cucker Manifold Mirrors Paperback

ISBN 13: 9780521728768

Manifold Mirrors Paperback

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9780521728768: Manifold Mirrors Paperback

Felipe Cucker presents a unifying mathematical structure to explore the relationship between mathematics and the arts, including architecture, music, poetry and more. The book emerged from the author's undergraduate course, but requiring only basic high-school knowledge of mathematics it makes a fascinating read for anyone interested in the arts.

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Review:

'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

'… there is certainly something new to be discovered for every reader. The book grew out of a course, and so it is obviously possible to extract some interesting lectures from the material that is presented.' The European Mathematical Society (euro-math-soc.eu)

'The merits of this big, ambitious book greatly exceed its deficiencies. Felipe Cucker's immense learning, and his often densely technical presentation of mathematical complexities, are balanced by a pervasive lightness of tone and by a flair for offbeat allusions that range from Euripides to Busby Berkeley. His book is a joy for the eye and a feast for the mind.' Hardy Grant, MAA Reviews

'Mathematical material is complete and rigorous, at an upper-division undergraduate level, with statements of relevant theorems and their proofs … Highly recommended. Upper-division undergraduates and faculty.' C. A. Gorini, Choice

About the Author:

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.

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Cucker
Editorial: Cambridge University Press
ISBN 10: 0521728762 ISBN 13: 9780521728768
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Descripción Cambridge University Press. Paperback. Estado de conservación: new. BRAND NEW, Manifold Mirrors: The Crossing Paths of the Arts and Mathematics, Felipe Cucker, 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. Nº de ref. de la librería B9780521728768

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Cucker
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ISBN 10: 0521728762 ISBN 13: 9780521728768
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Descripción CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2013. Paperback. Estado de conservación: New. 250 x 174 mm. Language: English . Brand New Book. 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. Nº de ref. de la librería AAZ9780521728768

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Editorial: CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2013)
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Descripción CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2013. Paperback. Estado de conservación: New. 250 x 174 mm. Language: English . Brand New Book. 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. Nº de ref. de la librería AAZ9780521728768

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Descripción Cambridge University Press, 2013. PAP. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Nº de ref. de la librería IB-9780521728768

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Descripción Cambridge University Press, 2013. Estado de conservación: New. This fascinating book will interest anyone wanting to learn more about the relationship between mathematics and the arts. Num Pages: 424 pages, 55 b/w illus. 100 colour illus. 30 music examples. BIC Classification: ABA; PBW. Category: (U) Tertiary Education (US: College). Dimension: 248 x 186 x 23. Weight in Grams: 864. . 2013. 1st Edition. Paperback. . . . . Nº de ref. de la librería V9780521728768

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Descripción Cambridge University Press 2013-04-25, Cambridge, 2013. paperback. Estado de conservación: New. Nº de ref. de la librería 9780521728768

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Descripción Cambridge University Press, 2013. PAP. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería GB-9780521728768

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Descripción Cambridge University Press. Estado de conservación: New. This fascinating book will interest anyone wanting to learn more about the relationship between mathematics and the arts. Num Pages: 424 pages, 55 b/w illus. 100 colour illus. 30 music examples. BIC Classification: ABA; PBW. Category: (U) Tertiary Education (US: College). Dimension: 248 x 186 x 23. Weight in Grams: 864. . 2013. 1st Edition. Paperback. . . . . Nº de ref. de la librería V9780521728768

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Descripción Cambridge University Press, 2013. Paperback. Estado de conservación: New. Brand New Book. Shipping: Once your order has been confirmed and payment received, your order will then be processed. The book will be located by our staff, packaged and despatched to you as quickly as possible. From time to time, items get mislaid en route. If your item fails to arrive, please contact us first. We will endeavour to trace the item for you and where necessary, replace or refund the item. Please do not leave negative feedback without contacting us first. All orders will be dispatched within two working days. If you have any quesions please contact us. Nº de ref. de la librería V9780521728768

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Descripción Cambridge University Press, 2013. Estado de conservación: New. book. Nº de ref. de la librería ria9780521728768_rkm

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