Excursion In Diagrammatic Algebra, An: Turning A Sphere From Red To Blue
Author:   J Scott Carter (Univ Of South Alabama, Usa)
Publisher:   World Scientific Publishing Co Pte Ltd
Volume:   48
ISBN:  

9789814374491


Pages:   296
Publication Date:   09 December 2011
Format:   Hardback
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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Excursion In Diagrammatic Algebra, An: Turning A Sphere From Red To Blue


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Overview

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.

Full Product Details

Author:   J Scott Carter (Univ Of South Alabama, Usa)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   48
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 23.10cm
Weight:   0.567kg
ISBN:  

9789814374491


ISBN 10:   9814374490
Pages:   296
Publication Date:   09 December 2011
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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.

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