Manifold Mirrors: The Crossing Paths of the Arts and Mathematics

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9780521728768: Manifold Mirrors: The Crossing Paths of the Arts and Mathematics

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.

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Book Description:

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.

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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1.

Felipe Cucker
Editorial: CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2013)
ISBN 10: 0521728762 ISBN 13: 9780521728768
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Descripción CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2013. Paperback. Estado de conservación: New. 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 AAA9780521728768

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Descripción 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 VM-9780521728768

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Descripción 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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Felipe Cucker
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Descripción CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2013. Paperback. Estado de conservación: New. 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 AAA9780521728768

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Felipe 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. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. 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 APE9780521728768

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Descripción Cambridge University Press. Paperback. Estado de conservación: New. New copy - Usually dispatched within 2 working days. Nº de ref. de la librería B9780521728768

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Descripción Cambridge University Press, 2013. Paperback. Estado de conservación: New. Never used!. Nº de ref. de la librería 0521728762

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Descripción Cambridge University Press 6/30/2013, 2013. Paperback or Softback. Estado de conservación: New. Manifold Mirrors: The Crossing Paths of the Arts and Mathematics. Book. Nº de ref. de la librería BBS-9780521728768

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Cucker, Felipe (City University of Hong Kong)
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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 FM-9780521728768

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Cucker, Felipe
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Descripción Cambridge Univ Pr, 2013. Paperback. Estado de conservación: Brand New. 432 pages. 9.84x6.85x0.94 inches. In Stock. Nº de ref. de la librería __0521728762

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