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.
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EXCURSION IN DIAGRAMMATIC ALGEBRA, AN: Turning a Sphere from Red to Blue
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.
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EXCURSION IN DIAGRAMMATIC ALGEBRA, AN: Turning a Sphere from Red to Blue
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EXCURSION IN DIAGRAMMATIC ALGEBRA, AN: Turning a Sphere from Red to Blue
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Product Details
| ISBN-13: | 9789814397162 |
|---|---|
| Publisher: | World Scientific Publishing Company, Incorporated |
| Publication date: | 12/06/2011 |
| Series: | SERIES ON KNOTS AND EVERYTHING , #48 |
| Sold by: | Barnes & Noble |
| Format: | eBook |
| Pages: | 296 |
| File size: | 22 MB |
| Note: | This product may take a few minutes to download. |
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