Science/Engineering Topology of Surfaces, Knots, and Manifolds: Stephan C. Carlson (0471355445)

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Topology of Surfaces, Knots, and Manifolds: Stephan C. Carlson

Topology of Surfaces, Knots, and Manifolds offers an intuition-based and example-driven approach to the basic ideas and problems involving manifolds, particularly one- and two-dimensional manifolds. A blend of examples and exercises leads the reader to anticipate general definitions and theorems concerning curves, surfaces, knots, and links--the objects of interest in the appealing set of mathematical ideas known as "rubber sheet geometry." The result is a book that provides solid coverage of the mathematics underlying these topics.

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This book presents the topology of surfaces, manifolds and knots in a manner that is reachable for undergraduate students with only a knowledge of calculus. Some linear algebra might be helpful. The text is written in a style that is easy to follow and there are superfluous examples. The exercises in the text are well thought out and are not extremely difficult. The exercises complement the text very well. The text makes clear a lot of difficult concepts such as isotopic surfaces as opposed to homeomorphic surfaces. I particularly enjoyed the manner in which the topology of knots was explained. After reading this text, the reader should be able to better visualize the projective plain and even the Klein bottle as it exists in 4-dimensional space. I have not read a text on topology that I enjoyed reading as much since Munkres. This text is a must have for any topologist.

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	Science/Engineering Explorations in Topology: Map Coloring, Surfaces and Knots Publisher: AcademicLanguage: EnglishISBN: 0123708583Paperback: 352 pagesData: 2007Format: PDFDescription: This book gives students a rich experience with low-dimensional topology, enhances their geometrical and topological intuition, empow ...
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	Science/Engineering Explorations in Topology: Map Coloring, Surfaces and Knots Publisher: AcademicLanguage: EnglishISBN: 0123708583Paperback: 352 pagesData: 2007Format: PDFDescription: This book gives students a rich experience with low-dimensional topology, enhances their geometrical and topological intuition, empow ...
	Science/Engineering How Surfaces Intersect in Space: An Introduction to Topology, 2nd Edition (Series on Knots and Everything) J. Scott Carter, "How Surfaces Intersect in Space: An Introduction to Topology, 2nd Edition (Series on Knots and Everything)"World Scientific Publishing Company \| 1995-05-11 \| ISBN: 9810220820 \| 340 pages \| PDF \| 8,3 MBThis text presents pi ...
	Science/Engineering Gems, Computers and Attractors for 3-Manifolds (Series on Knots and Everything, Vol 5) Gems, Computers and Attractors for 3-Manifolds (Series on Knots and Everything, Vol 5)World Scientific Publishing Company \| ISBN: 9810219075 \| 1995-09 \| PDF \| 450 pages \| 13 Mb Another book in the series on Knots and Everything very usefull ...
	Science/Engineering Knots and Surfaces Knots and SurfacesBy N. D. Gilbert, T. PorterPublisher: Oxford University Press \| 1996 \| 280 Pages \| ISBN: 0198514905 \| PDF \| 9.37 MB“This highly readable text details the interaction between the mathematical theory of knots and the t ...
	Knots, Links, Braids and 3-Manifolds: An Introduction to the New Invariants in Low-Dimensional Topology Knots, Links, Braids and 3-Manifolds: An Introduction to the New Invariants in Low-Dimensional Topology Publisher: Amer Mathematical Society \| ISBN: 0821808982 \| edition 1997 \| PDF \| 250 pages \| 10,2 mbThis book is an introduction to the r ...
	Topology of Surfaces, Knots, and Manifolds Topology of Surfaces, Knots, and Manifolds: Stephan C. CarlsonWiley \| ISBN: 0471355445 \| 2001-01-01 \| djvu (ocr) \| 176 pages \| 17.16 MbTopology of Surfaces, Knots, and Manifolds offers an intuition-based and example-driven approach to the b ...

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