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Topology and Geometry for Physicists

  • 1 Edición - 4 de enero de 1988
  • Última edición
  • Autores: Charles Nash, Siddhartha Sen
  • Idioma: Inglés

Applications from condensed matter physics, statistical mechanics and elementary particle theory appear in the book. An obvious omission here is general relativity--we apologize… Leer más

Descripción

Applications from condensed matter physics, statistical mechanics and elementary particle theory appear in the book. An obvious omission here is general relativity--we apologize for this. We originally intended to discuss general relativity. However, both the need to keep the size of the book within the reasonable limits and the fact that accounts of the topology and geometry of relativity are already available, for example, in The Large Scale Structure of Space-Time by S. Hawking and G. Ellis, made us reluctantly decide to omit this topic.

De interès para

Advanced undergraduate and graduate students studying physics.

Índice

Preface. Basic Notions of Topology and the Value of Topological Reasoning. Differential Geometry. Manifolds and Differential Forms. The Fundamental Group. The Homology Groups. The Higher Homotopy Groups. Cohomology and De Rham Cohomology. Fibre Bundles and Further Differential Geometry. Morse Theory. Defects, Textures, and Homotopy Theory. Yang-Mills Theories. Instantons and Monopoles. Subject Index.

Detalles del producto

  • Edición: 1
  • Última edición
  • Publicado: 4 de enero de 1988
  • Idioma: Inglés

Sobre los autores

CN

Charles Nash

Afiliaciones y experiencia
St. Patrick's College, Maynooth, Ireland

SS

Siddhartha Sen

Afiliaciones y experiencia
Trinity College, Dublin, Ireland