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"A mathematician named Klein Thought the Moebius band was divine. Said he: 'If you glue The edges of two, You'll get a weird bottle like mine.' " -- Stephen Barr In this lively book, the classic in its field, a master of recreational topology invites readers to venture into such tantalizing topological realms as continuity and connectedness via the Klein bottle and the Moebius strip. Beginning with a definition of topology and a discussion of Euler's theorem, Mr. Barr brings wit and clarity to these topics: New Surfaces (Orientability, Dimension, The Klein Bottle, etc.) The Shortest Moebius Strip The Conical Moebius Strip The Klein Bottle The Projective Plane (Symmetry) Map Coloring Networks (Koenigsberg Bridges, Betti Numbers, Knots) The Trial of the Punctured Torus Continuity and Discreteness ("Next Number," Continuity, Neighborhoods, Limit Points) Sets (Valid or Merely True? Venn Diagrams, Open and Closed Sets, Transformations, Mapping, Homotopy) With this book and a square sheet of paper, the reader can make paper Klein bottles, step by step; then, by intersecting or cutting the bottle, make Moebius strips. Conical Moebius strips, projective planes, the principle of map coloring, the classic problem of the Koenigsberg bridges, and many more aspects of topology are carefully and concisely illuminated by the author's informal and entertaining approach. Now in this inexpensive paperback edition, Experiments in Topology belongs in the library of any math enthusiast with a taste for brainteasing adventures in the byways of mathematics.Product Identifiers
PublisherDover Publications, Incorporated
ISBN-100486259331
ISBN-139780486259338
eBay Product ID (ePID)879455
Product Key Features
Educational LevelHigh School, Elementary School
Number of Pages210 Pages
Publication NameExperiments in Topology
LanguageEnglish
SubjectGeometry / General, General, Topology
Publication Year1989
FeaturesNew Edition
TypeStudy Guide
AuthorStephen Barr
Subject AreaScience, Mathematics
SeriesDover Books on Mathematics Ser.
FormatTrade Paperback
Dimensions
Item Height0.5 in
Item Weight8.3 Oz
Item Length8 in
Item Width5.4 in
Additional Product Features
LCCN88-031661
Dewey Edition19
Target AudienceElementary/High School
IllustratedYes
Dewey Decimal513.83
Edition DescriptionNew Edition
Lc Classification NumberQa611.B26
Table of Content1 What is Topology? Euler's Theorem 2 New Surfaces Orientability Dimension Two More Surfaces The Klein Bottle3 The Shortest Moebius Strip4 The Conical Moebius Strip5 The Klein Bottle6 The Projective Plane Symmetry7 Map Coloring8 Networks The Koenigsberg Bridges Betti Numbers Knots9 The Trial of the Punctured Torus10 Continuity and Discreteness "The "Next Number" Continuity Neighborhoods Limit Points11 Sets Valid or Merely True? Venn Diagrams Open and Closed Sets Transformations Mapping Homotopy In Conclusion Appendix Index
