数学物理
作者：罗伯特·杰勒西
出版社：世界图书出版公司
出版时间：2019-09-01
ISBN：9787519266448
定价：¥59.00
Chapter 1. Introduction
\nChapter 2. Categories
\nChapter 3. The Category of Groups
\nChapter 4. Subgroups
\nChapter 5. Normal Subgroups
\nChapter 6. Homomorphisms
\nChapter 7. Direct Products and Sums of Groups
\nChapter 8. Relations
\nChapter 9. The Category of Vector Spaces
\nChapter 10. Subspaces
\nChapter 11. Linear Mappings; Direct Products and Sums
\nChapter 12. From Real to Complex Vector Spaces and Back
\nChapter 13. Duals
\nChapter 14. Multilinear Mappings; Tensor Products
\nChapter 15. Example: Minkowski Vector Space
\nChapter 16. Example: The Lorentz Group
\nChapter 17. Functors
\nChapter 18. The Category of Associative Algebras
\nChapter 19. The Category of Lie Algebras
\nChapter 20. Example: The Algebra of Observables
\nChapter 21. Example: Fock Vector Space
\nChapter 22. Representations: General Theory
\nChapter 23. Representations on Vector Spaces
\nChapter 24. The Algebraic Categories: Summary
\nChapter 25. Subsets and Mappings
\nChapter 26. Topological Spaces
\nChapter 27. Continuous Mappings
\nChapter 28. The Category of Topological Spaces
\nChapter 29. Nets
\nChapter 30. Compactness
\nChapter 31. The Compact-Open Topology
\nChapter 32. Connectedness
\nChapter 33. Example: Dynamical Systems
\nChapter 34. Homotopy
\nChapter 35. Homology
\nChapter 36. Homology: Relation to Homotopy
\nChapter 37. The Homology Functors
\nChapter 38. Uniform Spaces
\nChapter 39. The Completion of a Uniform Space
\nChapter 40. Topological Groups
\nChapter 41. Topological Vector Spaces
\nChapter 42. Categories: Summary
\nChapter 43. Measure Spaces
\nChapter 44. Constructing Measure Spaces
\nChapter 45. Measurable Functions
\nChapter 46. Integrals
\nChapter 47. Distributions
\nChapter 48. Hilbert Spaces
\nChapter 49. Bounded Operators
\nChapter 50. The Spectrum of a Bounded Operator
\nChapter 51. The Spectral Theorem: Finite-dimensional Case
\nChapter 52. Continuous Functions of a Hermitian Operator
\nChapter 53. Other Functions of a Hermitian Operator
\nChapter 54. The Spectral Theorem
\nChapter 55. Operators (Not Necessarily Bounded)
\nChapter 56. Self-Adjoint Operators
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