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Topology Now! by Robert Messer
Book DescriptionTopology is a branch of mathematics packed with intriguing concepts, fascinating geometrical objects, and ingenious methods for studying them. The authors have written this textbook to make the material accessible to undergraduate students without requiring extensive prerequisites in upper-level mathematics. The approach is to cultivate the intuitive ideas of continuity, convergence, and connectedness so students can quickly delve into knot theory, the topology of surfaces and three-dimensional manifolds, fixed points and elementary homotopy theory. The fundamental concepts of point-set topology appear at the end of the book when students can see how this level of abstraction provides a sound logical basis for the geometrical ideas that have come before. This organization exposes students to the exciting world of topology now(!) rather than later. Students using this textbook should have some exposure to the geometry of objects in higher-dimensional Euclidean spaces together with an appreciation of precise mathematical definitions and proofs.
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Book DetailsISBN: 9780883857441
(253mm x 177mm x 19mm)
Imprint: Mathematical Association of America
Publisher: Mathematical Association of America
Publish Date: 11-May-2006
Country of Publication: United States
Books By Author Robert Messer
Linear Algebra, Hardback (June 1994)» View all books by Robert Messer
This textbook resolves the conflict between the abstractions of linear algebra and the need and abilities of students who may have dealt only briefly with the theoretical aspects of previous courses. It combines many results of elementary linear algebra with computational techniques.
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