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An excursion in diagrammatic algebra : 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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
[Hackensack] N.J. :
World Scientific,
Ã2012.
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| Colección: | K & E series on knots and everything ;
v. 48. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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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| Descripción Física: | 1 online resource (xvi, 275 pages) : illustrations (chiefly color). |
| Bibliografía: | Includes bibliographical references and index. |
| ISBN: | 9814374504 9789814374507 |