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An Excursion in Diagrammatic Algebra

An Excursion in Diagrammatic Algebra

Hardcover

Series: Knots and Everything, Book 48

AlgebraGeneral MathematicsGeometry

ISBN10: 9814374490
ISBN13: 9789814374491
Publisher: World Scientific Publishing Company
Published: Dec 19 2011
Pages: 296
Weight: 1.25
Height: 0.80 Width: 6.10 Depth: 9.10
Language: English
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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Carter J Scott

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Algebra