An Excursion in Diagrammatic Algebra: Turning a Sphere from Red to Blue (Series on Knots and Everything)
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...
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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 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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- Edition:Illustrated
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- ISBN10:9814374490
- ISBN13:9789814374491
- kindle Asin:B00741CJFW
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