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Material Type: | Internet resource |
---|---|
Document Type: | Book, Internet Resource |
All Authors / Contributors: |
Robert Geroch |
ISBN: | 0226288625 9780226288628 0226288617 9780226288611 |
OCLC Number: | 12372471 |
Notes: | Includes index. |
Description: | vi, 351 pages : illustrations ; 23 cm. |
Contents: | Machine derived contents note: 1. Introduction -- 2. Categories -- 3. The Category of Groups -- 4. Subgroups -- 5. Normal Subgroups -- 6. Homomorphisms -- 7. Direct Products and Sums of Groups -- 8. Relations -- 9. The Category of Vector Spaces -- 10. Subspaces -- 11. Linear Mappings; Direct Products and Sums -- 12. From Real to Complex Vector Spaces and Back -- 13. Duals -- 14. Multilinear Mappings; Tensor Products -- 15. Example: Minkowski Vector Space -- 16. Example: The Lorentz Group -- 17. Functors -- 18. The Category of Associative Algebras -- 19. The Category of Lie Algebras -- 20. Example: The Algebra of Observables -- 21. Example: Fock Vector Space -- 22. Representations: General Theory -- 23. Representations on Vector Spaces -- 24. The Algebraic Categories: Summary -- 25. Subsets and Mappings -- 26. Topological Spaces -- 27. Continuous Mappings -- 28. The Category of Topological Spaces -- 29. Nets -- 30. Compactness -- 31. The Compact-Open Topology -- 32. Connectedness -- 33. Example: Dynamical Systems -- 34. Homotopy -- 35. Homology -- 36. Homology: Relation to Homotopy -- 37. The Homology Functors -- 38. Uniform Spaces -- 39. The Completion of a Uniform Space -- 40. Topological Groups -- 41. Topological Vector Spaces -- 42. Categories: Summary -- 43. Measure Spaces -- 44. Constructing Measure Spaces -- 45. Measurable Functions -- 46. Integrals -- 47. Distributions -- 48. Hilbert Spaces -- 49. Bounded Operators -- 50. The Spectrum of a Bounded Operator -- 51. The Spectral Theorem: Finite-dimensional Case -- 52. Continuous Functions of a Hermitian Operator -- 53. Other Functions of a Hermitian Operator -- 54. The Spectral Theorem -- 55. Operators (Not Necessarily Bounded) -- 56. Self-Adjoint Operators -- Index of Defined Terms. |
Series Title: | Chicago lectures in physics. |
Responsibility: | Robert Geroch. |
More information: |
Table of Contents:
by
chichriso (WorldCat user on 2007-10-26)
motion
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