Excursion in Diagrammatic Algebra Turning a Sphere from Red to Blue |
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| Author:
| Carter, J. Scott |
| Series title: | Series on Knots and Everything Ser. |
| ISBN: | 978-981-4374-50-7 |
| Publication Date: | Dec 2011 |
| Publisher: | World Scientific Publishing Co Pte Ltd
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| Book Format: | Digital (delivered electronically) |
| List Price: | USD $151.00 |
Book Description:
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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...
More DescriptionThe 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.