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Topology and Geometry for Physicists

  • 1st Edition - January 4, 1988
  • Latest edition
  • Authors: Charles Nash, Siddhartha Sen
  • Language: English

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

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Description

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.

Readership

Advanced undergraduate and graduate students studying physics.

Table of contents

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.

Product details

  • Edition: 1
  • Latest edition
  • Published: January 28, 1988
  • Language: English

About the authors

CN

Charles Nash

Affiliations and expertise
St. Patrick's College, Maynooth, Ireland

SS

Siddhartha Sen

Affiliations and expertise
Trinity College, Dublin, Ireland