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Equations of the Mathematical Physics (en Inglés)
V.s. Vladimirov (Autor)
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Equations of the Mathematical Physics (en Inglés) - V.S. Vladimirov
Ciencia y matemáticas
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Reseña del libro "Equations of the Mathematical Physics (en Inglés)"
Encuadernación: rústicaPrefaceChapter I. Statement of Boundary Value Problems in Mathematical Physics1. Concepts and Propositions of Set Theory, the Theory of Functions, and the Theory of Operators2. The Basic Equations of Mathematical Physics3. Classification of Quasi-linear Second-order Differential Equations4. Statement of the Main Boundary Value Problems for Linear Second-order Differential EquationsChapter II. Generalized Functions5. Test and Generalized Functions6. Differentiation of Generalized Functions7. The Direct Product and Convolution of Generalized Functions8. Generalized Functions of Slow Growth9. The Fourier Transform of Generalized Functions of Slow Growth10. The Laplace Transform of Generalized Functions (Operational Calculus)Chapter III. Fundamental Solutions and the Cauchy Problem11. Fundamental Solutions of Linear Differential Operators12. The Wave Potential13. The Cauchy Problem for the Wave Equation14. Wave Propagation15. Riemann´s Method16. The Cauchy Problem for the Heat Conduction EquationChapter IV. Integral Equations17. Introduction18. The Method of Successive Approximations19. Fredhol`s Theorems20. Integral Equations with a Hermitian Kernel21. The Hilbert-Schmidt Theorem and its CorollariesChapter V. Boundary Value Problems for Equations of Elliptic Type22. The Eigenvalue Problem23. The Sturm-Liouville Problem24. The Bessel Functions25. Harmonic Functions26. Spherical Functions27. Foruer`s Method for Eigenvalue Problems28. The Newtonian Potential29. Boundary Value Problems for Laplace`s and Poisson`s Equations in Space30. Green`s Function of the Dirichlet Problem31. Helmholtz´s Equation32. Boundary Value Problems for Laplace`s Equation in a PlaneChapter VI. Mixed Problems33. Fourier`s Method34. A Mixed Problem for an Equation of Hyperbolic Type35. A Mixed Problem for an Equation of Parabolic TypeReferencesName indexSubject index
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