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History of Topology.
Topology, for many years, has been one of the most exciting and influential fields of research in modern mathematics. Although its origins may be traced back several hundred years, it was Poincaré who "gave topology wings" in a classic series of articles published around the turn of the c...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Burlington :
Elsevier,
2006.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; History of Topology; Copyright Page; Preface; Acknowledgement of illustrations; Contents; Chapter 1. The emergence of topological dimension theory; Chapter 2. The concept of manifold, 1850-1950; Chapter 3. Development of the concept of homotopy; Chapter 4. Development of the concept of a complex; Chapter 5. Differential forms; Chapter 6. The topological work of Henri Poincaré; Chapter 7. Weyl and the topology of continuous groups; Chapter 8. By their fruits ye shall know them: Some remarks on the interaction of general Topology With Other Areas of Mathematics.
- Chapter 9. Absolute neighborhood retracts and shape theoryChapter 10. Fixed point theory; Chapter 11. Geometric aspects in the development of knot theory; Chapter 12. Topology and physics
- a historical essay; Chapter 13. Singularities; Chapter 14. One hundred years of manifold topology; Chapter 15. 3-dimensional topology up to 1960; Chapter 16. A short history of triangulation and related matters; Chapter 17. Graph theory; Chapter 18.