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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Carter, J. Scott
Formato: Electrónico eBook
Idioma:Inglés
Publicado: [Hackensack] N.J. : World Scientific, Ã2012.
Colección:K & E series on knots and everything ; v. 48.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Carter, J. Scott. 
245 1 3 |a An excursion in diagrammatic algebra :  |b turning a sphere from red to blue /  |c J. Scott Carter. 
260 |a [Hackensack] N.J. :  |b World Scientific,  |c Ã2012. 
300 |a 1 online resource (xvi, 275 pages) :  |b illustrations (chiefly color). 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a K & E series on knots and everything ;  |v v. 48 
504 |a Includes bibliographical references and index. 
505 0 |a 1. A sphere -- 2. Surfaces, folds, and cusps -- 3. The inside and outside -- 4. Dimensions -- 5. Immersed surfaces -- 6. Movies -- 7. Movie moves -- 8. Taxonomic summary -- 9. How not to turn the sphere inside-out -- 10. A physical metaphor -- 11. Sarah's thesis -- 12. The eversion -- 13. The double point and fold surfaces. 
520 |a 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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650 6 |a Topologie de basse dimension. 
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830 0 |a K & E series on knots and everything ;  |v v. 48. 
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