This book will bring the beauty and fun of mathematics to the classroom. It offers serious mathematics in a lively, reader-friendly style. Included are exercises and many figures illustrating the main concepts. The first chapter presents the geometry and topology of surfaces. Among other topics, the authors discuss the Poincare-Hopf theorem on critical points of vector fields on surfaces and the Gauss-Bonnet theorem on the relation between curvature and topology (the Euler characteristic).The second chapter addresses ...
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This book will bring the beauty and fun of mathematics to the classroom. It offers serious mathematics in a lively, reader-friendly style. Included are exercises and many figures illustrating the main concepts. The first chapter presents the geometry and topology of surfaces. Among other topics, the authors discuss the Poincare-Hopf theorem on critical points of vector fields on surfaces and the Gauss-Bonnet theorem on the relation between curvature and topology (the Euler characteristic).The second chapter addresses various aspects of the concept of dimension, including the Peano curve and the Poincare approach. Also addressed is the structure of three-dimensional manifolds. In particular, it is proved that the three-dimensional sphere is the union of two doughnuts. This is the first of three volumes originating from a series of lectures given by the authors at Kyoto University (Japan). It is suitable for classroom use for high school mathematics teachers and undergraduate mathematics courses in the sciences and liberal arts. The second volume is available as Volume 20 in the AMS series, ""Mathematical World"". A third volume is forthcoming.
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Add this copy of A Mathematical Gift, 1: the Interplay Between Topology, to cart. $28.89, very good condition, Sold by BooksRun rated 5.0 out of 5 stars, ships from Philadelphia, PA, UNITED STATES, published 2004 by American Mathematical Society.
Add this copy of A Mathematical Gift, I: the Interplay Between Topology, to cart. $39.52, very good condition, Sold by Lake Country Books rated 5.0 out of 5 stars, ships from Excelsior, MN, UNITED STATES, published 2003 by American Mathematical Society.
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Near Fine in None as issued jacket. Size: 7x0x10; Excellent paperback textbook. Clean, solid with unmarked text. Cover has mild surface and edge wear. Binding is tight and square; no creases to spine. Books, box sets, and items other than standard jewel case CDs and DVDs that sell for $9 or more ship in a box; under $9 in a bubble mailer. Expedited and international orders may ship in a flat rate envelope rather than a box due to cost constraints. All US-addressed items ship with complimentary delivery confirmation.
Add this copy of A Mathematical Gift, 1: the Interplay Between Topology, to cart. $59.96, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2003 by American Mathematical Society.
Add this copy of A Mathematical Gift, 1: the Interplay Between Topology, to cart. $92.83, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2003 by American Mathematical Society.
