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A Mathematical Gift, 1: The Interplay Between Topology, Functions, Geometry, and Algebra (Mathematical World) (v. 1) - Softcover
Synopsis
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. <P>The first chapter presents the geometry and topology of surfaces. Among other topics, the authors discuss the Poincaré-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 Poincaré 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. <P>This is the first of three volumes originating from a series of lectures given by the authors at Kyoto University (Japan).
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Review
"With A Mathematical Gift, I, there is no reason why every undergraduate student should not be exposed to some topology ... accessible to even high school students ... beautiful illustrations and straightforward explanations of sophisticated ideas. Real world and concrete scenarios are used ... elegant explanations ... exercises ... are friendly and non-threatening ... the perfect choice for anyone who conducts summer workshops for high school students ... an ideal supplement for graduate students studying topology for the first time ... also excellent for undergraduate independent studies ... I enjoyed reading this book ... fun to look at ... instructive and motivating ... impressed ... wowed by the detail and clarity presented by the authors. Readers of A Mathematical Gift, I will want to read A Mathematical Gift, II." ---- MAA Online
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A Mathematical Gift, 1: The Interplay Between Topology, Functions, Geometry, and Algebra (Mathematical World) (v. 1)
Published by
American Mathematical Society, 2003
ISBN 10: 0821832824
ISBN 13: 9780821832820
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A Mathematical Gift, 1: The Interplay Between Topology, Functions, Geometry, and Algebra (Mathematical World) (v. 1)
Published by
American Mathematical Society, 2003
ISBN 10: 0821832824
ISBN 13: 9780821832820
Used
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A Mathematical Gift, 1: The Interplay Between Topology, Functions, Geometry, and Algebra (Mathematical World) (v. 1)
Published by
American Mathematical Society, 2003
ISBN 10: 0821832824
ISBN 13: 9780821832820
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A Mathematical Gift, 1: The Interplay Between Topology, Functions, Geometry, and Algebra (Mathematical World) (v. 1)
Published by
American Mathematical Society, 2003
ISBN 10: 0821832824
ISBN 13: 9780821832820
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A Mathematical Gift, I: The interplay between topology, functions, geometry, and algebra (Mathematical World, Volume 19)
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American Mathematical Society, 2003
ISBN 10: 0821832824
ISBN 13: 9780821832820
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Paperback. Condition: Near Fine. Dust Jacket Condition: None as issued. Excellent paperback textbook. Clean, solid with unmarked text. Cover has mild surface and edge wear. Binding is tight and square; no creases to spine. We are unable to ship oversize books and multi-volume sets internationally. Seller Inventory # IF62409090003
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A Mathematical Gift, Volume 1 The Interplay Between Topology, Functions, Geometry, and Algebra
Published by
Amer Mathematical Society, 2003
ISBN 10: 0821832824
ISBN 13: 9780821832820
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Paperback. Condition: Brand New. illustrated edition. 136 pages. 10.00x7.00x0.50 inches. In Stock. Seller Inventory # 0821832824
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