An excursion in diagrammatic algebra : turning a sphere from red to blue
著者
書誌事項
An excursion in diagrammatic algebra : turning a sphere from red to blue
（Series on knots and everything, v. 48）
World Scientific, c2012
大学図書館所蔵 件 / 全18件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. 271) and index
内容説明・目次
内容説明
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.
目次
- 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.
「Nielsen BookData」 より