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" Mathematical methods in physics : "
Philippe Blanchard and Erwin Brüning.
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BL
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| Record Number
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719751
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b539444
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| Main Entry
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Philippe Blanchard and Erwin Brüning.
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| Title & Author
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Mathematical methods in physics : : distributions, Hilbert space operators, and variational methods\ Philippe Blanchard and Erwin Brüning.
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| Publication Statement
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Boston: Birkhäuser, ©2003.
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| Series Statement
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Progress in mathematical physics, v. 26.
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(xxii, 471 pages)
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| ISBN
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1461200490
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: 9781461200499
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| Contents
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I. Distributions --;1. Introduction --;2. Spaces of Test Functions --;3. Schwartz Distributions --;4. Calculus for Distributions --;5. Distributions as Derivatives of Functions --;6. Tensor Products --;7. Convolution Products --;8. Applications of Convolution --;9. Holomorphic Functions --;10. Fourier Transformation --;11. Distributions and Analytic Functions --;12. Other Spaces of Generalized Functions --;II. Hilbert Space Operators --;13. Hilbert Spaces: A Brief Historical Introduction --;14. Inner Product Spaces and Hilbert Spaces --;15. Geometry of Hilbert Spaces --;16. Separable Hilbert Spaces. 17. Direct Sums and Tensor Products --;18. Topological Aspects --;19. Linear Operators --;20. Quadratic Forms --;21. Bounded Linear Operators --;22. Special Classes of Bounded Operators --;23. Self-adjoint Hamilton Operators --;24. Elements of Spectral Theory --;25. Spectral Theory of Compact Operators --;26. The Spectral Theorem --;27. Some Applications of the Spectral Representation --;III. Variational Methods --;28. Introduction --;29. Direct Methods in the Calculus of Variations. 30. Differential Calculus on Banach Spaces and Extrema of Functions --;31. Constrained Minimization Problems (Method of Lagrange Multipliers) --;32. Boundary and Eigenvalue Problems --;33. Density Functional Theory of Atoms and Molecules --;IV. Appendix --;A. Completion of Metric Spaces --;B. Metrizable Locally Convex Topological Vector Spaces --;C. The Theorem of Baire --;D. Bilinear Functionals.
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| Abstract
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Aimed primarily at a broad community of graduate students in mathematics, mathematical physics, physics and engineering, as well as researchers in these disciplines.
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| Subject
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Mathematical physics.
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| Subject
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Mathematische Physik
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| Subject
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Physique mathématique.
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| LC Classification
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QC20.P455 2003
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| Added Entry
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Erwin Brüning
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Philippe Blanchard
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