Inhaltsangabe:
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.
Críticas:
'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
'This is an impressive and ambitious book and is one well-worth taking time to work through.' Richard Talbot, Nexus Network Journal
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