Experiments in Topology by Stephen Barr

Experiments in Topology by Stephen Barr

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.

Stephen M. Barr grew up in Alameda, California, served in the Navy, and worked as a civil engineer/surveyor for the State of California (DOT) until his retirement in 1998. The author and his wife, Zoe, live in an old farmhouse they rebuilt in Windsor, California.

SKU	Nicht verfügbar
ISBN 13	9780486259338
ISBN 10	0486259331
Titel	Experiments in Topology
Autor	Stephen Barr
Serie	Dover Books On Mathema 14tics
Buchzustand	Nicht verfügbar
Bindungsart	Paperback
Verlag	Dover Publications Inc.
Erscheinungsjahr	2003-03-28
Seitenanzahl	238
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis	Nicht verfügbar