Experiments in Topology by Stephen Barr
A mathematician named KleinThought 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.
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The Thirteen Books of the Elements, Vol. 1
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The Stanford Mathematics Problem Book
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Excursions in Number Theory
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Elementary Number Theory
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An Introduction to the Calculus of Variations
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An An Adventurer's Guide to Number Theory
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Matrices and Linear Algebra
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One Hundred Great Problems of Elementary Mathematics
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Statistical Method from the Viewpoint of Quality Control
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Lectures on Classical Differential Geometry
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Elementary Theory of Numbers
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Topology
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Introduction to Topology
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The Works of Archimedes
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Introduction to Linear Algebra and Differential Equations
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An Introduction to Fourier Series and Integrals
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Arithmetic Refresher
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Mathematics and the Imagination
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A History of Greek Mathematics: from Aristarchus to Diophantus V.2
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Vector and Tensor Analysis with Applications
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Introduction to Logic
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Complex Analysis with Applications
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Lectures on Ordinary Differential Equations
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Introductory Graph Theory
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Advanced Euclidean Geometry
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The History of the Calculus and its Conceptual Development
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Advanced Mathematics for Engineers and Scientists
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Counterexamples in Topology
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Topology and Geometry for Physicists
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The Riemann Zeta-Function: Theory a
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A History of Greek Mathematics: From Thales to Euclid v.1
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The Elementary Theory of Analytic Functions of One or Several Complex Variables
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Playing with Infinity
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Proof in Geometry
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Practical Conic Sections
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Makers of Mathematics
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Fundamental Concepts of Algebra
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An Introduction to Lebesgue Integration and Fourier Series
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Boolean Reasoning
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Elementary Topology: Second Edition
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Introduction to Analysis
Stephen M.Barr grew raised in Alameda, California, served in the Navy, and worked for the State of California (DOT) as a civil engineer/surveyor until his retirement in 1998. The author and his wife, Zoe, live in Windsor, California, in an ancient farmhouse that they renovated.
| SKU | Unavailable |
| ISBN 13 | 9780486259338 |
| ISBN 10 | 0486259331 |
| Title | Experiments in Topology |
| Author | Stephen Barr |
| Series | Dover Books On Mathema 14tics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Dover Publications Inc. |
| Year published | 2003-03-28 |
| Number of pages | 238 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |