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Topology: Point-Set and Geometric Hardcover - 2007
by Shick, Paul L
- Used
- Good
- Hardcover
Description
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Details
- Title Topology: Point-Set and Geometric
- Author Shick, Paul L
- Binding Hardcover
- Edition [ Edition: first
- Condition Used - Good
- Pages 296
- Volumes 1
- Language ENG
- Publisher Wiley-Interscience, in Stock: we Ship at Once fr. IL USA;
- Date 2007-02-09
- Illustrated Yes
- Features Bibliography, Illustrated, Index
- Bookseller's Inventory # SKU0208244
- ISBN 9780470096055 / 0470096055
- Weight 1.34 lbs (0.61 kg)
- Dimensions 9.5 x 6.08 x 0.96 in (24.13 x 15.44 x 2.44 cm)
- Library of Congress subjects Algebraic topology, Point set theory
- Library of Congress Catalog Number 2006041362
- Dewey Decimal Code 514.2
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From the rear cover
Topology: Point-Set and Geometric presents an introduction to topology that begins with the axiomatic definition of a topology on a set, rather than starting with metric spaces or the topology of subsets of Rn. This approach includes many more examples, allowing students to develop more sophisticated intuition and enabling them to learn how to write precise proofs in a brand-new context, which is an invaluable experience for math majors.
Along with the standard point-set topology topics--connected and path-connected spaces, compact spaces, separation axioms, and metric spaces--Topology covers the construction of spaces from other spaces, including products and quotient spaces. This innovative text culminates with topics from geometric and algebraic topology (the Classification Theorem for Surfaces and the fundamental group), which provide instructors with the opportunity to choose which "capstone" best suits his or her students.
Topology: Point-Set and Geometric features:
- A short introduction in each chapter designed to motivate the ideas and place them into an appropriate context
- Sections with exercise sets ranging in difficulty from easy to fairly challenging
- Exercises that are very creative in their approaches and work well in a classroom setting
- A supplemental Web site that contains complete and colorful illustrations of certain objects, several learning modules illustrating complicated topics, and animations of particularly complex proofs
Media reviews
Citations
- Scitech Book News, 06/01/2007, Page 30