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The Symmetries of Things

副标题: Symmetries of Things

ISBN: 9781568812205

出版社: A K Peters Ltd

出版年: 2008-5-2

页数: 448

定价: USD 75.00

装帧: Hardcover

内容简介


Start with a single shape. Repeat it in some way - translation, reflection over a line, rotation around a point - and you have created symmetry. Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described, and analyzed using mathematical concepts for a long time. Inspired by the geometric intuition of Bill Thurston and empowered by his own analytical skills, John Conway, with his coauthors, has developed a comprehensive mathematical theory of symmetry that allows the description and classification of symmetries in numerous geometric environments. This richly and compellingly illustrated book addresses the phenomenological, analytical, and mathematical aspects of symmetry on three levels that build on one another and will speak to interested lay people, artists, working mathematicians, and researchers.

关键词:The Symmetries of Things