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" Topics in contemporary mathematical physics / "
Kai S. Lam
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BL
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| Record Number
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595075
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| Doc. No
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b424294
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| Main Entry
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Lam, Kai S., (Kai Shue),1949-
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| Title & Author
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Topics in contemporary mathematical physics /\ Kai S. Lam
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| Page. NO
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xii, 604 pages :: illustrations ;; 26 cm
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| ISBN
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9812384049
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: 9789812384041
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| Bibliographies/Indexes
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Includes bibliographical references (pages 585-587) and index
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| Contents
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1. Vectors and Linear Transformations -- 2. Tensors -- 3. Symmetry and Conservation: the Angular Momentum -- 4. The Angular Momentum as Generators of Rotations: Lie Groups and Lie Algebras -- 5. Algebraic Structures -- 6. Basic Group Concepts -- 7. Basic Lie Algebra Concepts -- 8. Inner Products, Metrics, and Dual Spaces -- 9. SO(4) and the Hydrogen Atom -- 10. Adjoints and Unitary Transformations -- 11. The Lorentz Group and SL(2,C) -- 12. The Dirac Bracket Notation in Quantum Theory -- 13. The Quantum Mechanical Simple Harmonic Oscillator -- 14. Fourier Series and Fourier Transforms, the Dirac Delta Function, Green's Functions -- 15. The Continuous Spectrum and Non-normalizable States -- 16. Skew-Symmetric Tensors and Determinants -- 17. Eigenvalue Problems -- 18. Group Representation Theory -- 19. The Dihedral Group D6 and the Benzene Molecule --20. Representations of the Symmetric Groups and the General Linear Groups, Young Diagram -- 21. Irreducible Representations of U(n), SL(n), SU(n) and O(n) -- 22. Irreducible Representations of SU(2) and SO(3) -- 23. The Spherical Harmonics -- 24. The Structure of Semisimple Lie Algebras -- 25. The Representations of Semisimple Lie Algebras -- 26. SU(3) and the Strong Interaction -- 27. Clifford Algebras -- 28. Exterior Products -- 29. The Hodge-Star Operator -- 30. Differential Forms and Exterior Differentiation -- 31. Moving Frames and Curvilinear Coordinates in R3 -- 32. Integrals of Differential Forms and the Stokes Theorem -- 33. Homology and De Rham Cohomology -- 34. The Geometry of Lie Groups -- 35. Connections and Curvatures on a Vector Bundle -- 36. Yang-Mills Equations -- 37. Connections on a Principal Bundle -- 38. Magnetic Monopoles and Molecular Dynamics -- 39. Riemannian Geometry -- 40. Complex Manifolds -- 41. Characteristic Classes -- 42. Chern-Simons Forms -- 43. The Atiyay-Singer Index Theorem -- 44. Symplectic Structures and Hamiltonian Mechanics
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| Subject
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Mathematical physics
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| Dewey Classification
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530.15
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| LC Classification
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QC20.L14 2003
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| Parallel Title
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Contemporary mathematical physics
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