An excursion in diagrammatic algebra : turning a sphere from red to blue
Author(s)
Bibliographic Information
An excursion in diagrammatic algebra : turning a sphere from red to blue
（Series on knots and everything, v. 48）
World Scientific, c2012
Available at / 18 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Note
Includes bibliographical references (p. 271) and index
Description and Table of Contents
Description
The aim of this book is to give as detailed a description as is possible of one of the most beautiful and complicated examples in low-dimensional topology. This example is a gateway to a new idea of higher dimensional algebra in which diagrams replace algebraic expressions and relationships between diagrams represent algebraic relations. The reader may examine the changes in the illustrations in a leisurely fashion; or with scrutiny, the reader will become familiar and develop a facility for these diagrammatic computations.The text describes the essential topological ideas through metaphors that are experienced in everyday life: shadows, the human form, the intersections between walls, and the creases in a shirt or a pair of trousers. Mathematically informed reader will benefit from the informal introduction of ideas. This volume will also appeal to scientifically literate individuals who appreciate mathematical beauty.
Table of Contents
- A Sphere
- Surfaces, Folds, and Cusps
- The Inside and Outside
- Dimensions
- Immersed Surfaces
- Movies
- Movie Moves
- Taxonomic Summary
- How Not to Turn the Sphere Inside-Out
- A Physical Metaphor
- Sarah's Thesis
- The Eversion
- The Double Point and Fold Surfaces.
by "Nielsen BookData"