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Mathematics A Mathematical Gift, III: The Interplay Between Topology, Functions, Geometry, and Algebra (Mathematical World)
Posted on 2010-04-12
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More A Mathematical Gift, III: The Interplay Between Topology, Functions, Geometry, and Algebra (Mathematical World) This book brings 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 talks about the theory of manifolds. It includes discussion of smoothness, differentiability, and analyticity, the idea of local coordinates and coordinate transformation, and a detailed explanation of the Whitney imbedding theorem (both in weak and in strong form). The second chapter discusses the notion of the area of a figure on the plane and the volume of a solid body in space. It includes the proof of the Bolyai-Gerwien theorem about scissors-congruent polynomials and Dehn's solution of the Third Hilbert Problem. This is the third volume originating from a series of lectures given at Kyoto University (Japan). It is suitable for classroom use for high school mathematics teachers and for undergraduate mathematics courses in the sciences and liberal arts.
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Related Articles
 | A Mathematical Gift, 1: The Interplay Between Topology, Functions, Geometry, and Algebra (Mathematical World) A Mathematical Gift, 1: The Interplay Between Topology, Functions, Geometry, and Algebra (Mathematical World)Publisher: American Mathematical Society | English | ISBN: 0821832824 | 136 pages | 2003-10 | PDF | 6 MbThis book will bring the be ... |
| A Mathematical Gift, 1: The Interplay Between Topology, Functions, Geometry, and Algebra (Repost) A Mathematical Gift, 1: The Interplay Between Topology, Functions, Geometry, and Algebra Publisher: American Mathematical Society | ISBN: 0821832824 | edition 2003 | PDF | 136 pages | 10,2 mbThis book will bring the beauty and fun of mathe ... |
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| A Mathematical Gift, III: The Interplay Between Topology, Functions, Geometry, and Algebra A Mathematical Gift, III: The Interplay Between Topology, Functions, Geometry, and AlgebraPublisher: American Mathematical Society | ISBN: 0821832840 | edition 2005 | PDF | 129 pages | 14,6 mb This book brings the beauty and fun of ... |
| Technical A Mathematical Gift, III: The Interplay Between Topology, Functions, Geometry, and Algebra (Mathematical World) (v. 3) ISBN: 0821832840 Publisher: American Mathematical Society Author: Toshikazu Sunada Koju ShigaDescription:This book brings the beauty and fun of mathematics to the classroom. It offers serious mathematics in a lively, reader-friendly style. ... |
 | Mathematics A Mathematical Gift, II (Mathematical World) Author: Shigeyuki Morita, Koji Shiga, Kenji UenoPublisher: American Mathematical Society (2004)Binding: Paperback, 131 pagespricer: $29.00ISBN-10: 0821832832editorialreviewsThis book brings the beauty and fun of mathematics to the classroom ... |
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