عنوان

Mathematical methods in physics :

1461200490

9781461200499

b539444

Mathematical methods in physics :

[Book]

distributions, Hilbert space operators, and variational methods

Philippe Blanchard and Erwin Brüning.

Boston

Birkhäuser

©2003.

(xxii, 471 pages)

Progress in mathematical physics, v. 26.

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.

Aimed primarily at a broad community of graduate students in mathematics, mathematical physics, physics and engineering, as well as researchers in these disciplines.

Mathematical physics.

Mathematische Physik

Physique mathématique.

Philippe Blanchard and Erwin Brüning.

Erwin Brüning

Philippe Blanchard

[Book]

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