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Mathematical physics

Author: Robert Geroch
Publisher: Chicago : University of Chicago Press, 1985.
Series: Chicago lectures in physics.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Mathematical Physics is an introduction to such basic mathematical structures as groups, vector spaces, topological spaces, measure spaces, and Hilbert space. Geroch uses category theory to emphasize  Read more...

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Details

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.
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Table of Contents:

by chichriso (WorldCat user on 2007-10-26)

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