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catalog contributor b11643053.
catalog contributor b11643054.
catalog created "c1999.".
catalog date "1999".
catalog date "c1999.".
catalog dateCopyrighted "c1999.".
catalog description "1. First-order Partial Differential Equations -- 1. Introduction -- 2. Linear First-order Equations -- 3. The Cauchy Problem for First-order Quasi-linear Equations -- 4. General Solutions of Quasi-linear Equations -- 5. Fully-nonlinear First-order Equations -- 2. Second-order Partial Differential Equations -- 6. Linear equations -- 7. Classification and Canonical Forms of Equations in Two Independent Variables -- 8. Classification of Almost-linear Equations in R[superscript n] -- 3. One-Dimensional Wave Equation -- 9. The Wave Equation on the Whole Line. D'Alembert Formula -- 10. The Wave Equation on the Half-line. Reflection Method -- 11. Mixed Problem for the Wave Equation -- 12. Inhomogeneous Wave Equation -- 13. Conservation of the Energy -- 14. Weak Derivatives and Weak Solutions -- 4. One-Dimensional Diffusion Equation -- 15. Maximum-minimum Principle for the Diffusion Equation -- 16. The Diffusion Equation on the Whole Line -- 17. Diffusion on the Half-line -- 18. Inhomogeneous Diffusion Equation on the Whole Line -- 5. Shock Waves and Conservation Laws -- 19. Conservation laws -- 20. Burgers' Equation -- 21. Weak Solutions. Riemann Problem -- 22. Discontinuous Solutions of Conservation Laws. Rankine-Hugoniot Condition -- 6. The Laplace Equation -- 23. Harmonic functions. Maximum-minimum Principle -- 24. Green's Identities -- 25. Green's Functions -- 26. Green's Functions for a Half-space and Sphere -- 27. Harnack's Inequalities and Theorems -- 7. Fourier Series and Fourier Method for PDEs -- 28. Fourier Series -- 29. Orthonormal Systems. General Fourier series -- 30. Fourier Method for the Diffusion Equation -- 31. Fourier Method for the Wave Equation -- 32. Fourier Method for the Laplace Equation -- 8. Diffusion and Wave Equations in Higher Dimensions -- 33. Diffusion Equation in Three Dimensional Space -- 34. Fourier Method for the Diffusion Equation in Higher Dimensions -- 35. Kirchoff's Formula for the Wave Equation. Huygens' Principle.".
catalog description "Includes bibliographical references (p. 281-283) and index.".
catalog extent "x, 297 p. :".
catalog identifier "9810238916 (alk. paper)".
catalog issued "1999".
catalog issued "c1999.".
catalog language "eng".
catalog publisher "Singapore ; River Edge, N.J. : World Scientific,".
catalog subject "515/.353 21".
catalog subject "Differential equations, Partial.".
catalog subject "Maple (Computer file)".
catalog subject "Mathematica (Computer file)".
catalog subject "Mathematical physics.".
catalog subject "QA377 .S79 1999".
catalog tableOfContents "1. First-order Partial Differential Equations -- 1. Introduction -- 2. Linear First-order Equations -- 3. The Cauchy Problem for First-order Quasi-linear Equations -- 4. General Solutions of Quasi-linear Equations -- 5. Fully-nonlinear First-order Equations -- 2. Second-order Partial Differential Equations -- 6. Linear equations -- 7. Classification and Canonical Forms of Equations in Two Independent Variables -- 8. Classification of Almost-linear Equations in R[superscript n] -- 3. One-Dimensional Wave Equation -- 9. The Wave Equation on the Whole Line. D'Alembert Formula -- 10. The Wave Equation on the Half-line. Reflection Method -- 11. Mixed Problem for the Wave Equation -- 12. Inhomogeneous Wave Equation -- 13. Conservation of the Energy -- 14. Weak Derivatives and Weak Solutions -- 4. One-Dimensional Diffusion Equation -- 15. Maximum-minimum Principle for the Diffusion Equation -- 16. The Diffusion Equation on the Whole Line -- 17. Diffusion on the Half-line -- 18. Inhomogeneous Diffusion Equation on the Whole Line -- 5. Shock Waves and Conservation Laws -- 19. Conservation laws -- 20. Burgers' Equation -- 21. Weak Solutions. Riemann Problem -- 22. Discontinuous Solutions of Conservation Laws. Rankine-Hugoniot Condition -- 6. The Laplace Equation -- 23. Harmonic functions. Maximum-minimum Principle -- 24. Green's Identities -- 25. Green's Functions -- 26. Green's Functions for a Half-space and Sphere -- 27. Harnack's Inequalities and Theorems -- 7. Fourier Series and Fourier Method for PDEs -- 28. Fourier Series -- 29. Orthonormal Systems. General Fourier series -- 30. Fourier Method for the Diffusion Equation -- 31. Fourier Method for the Wave Equation -- 32. Fourier Method for the Laplace Equation -- 8. Diffusion and Wave Equations in Higher Dimensions -- 33. Diffusion Equation in Three Dimensional Space -- 34. Fourier Method for the Diffusion Equation in Higher Dimensions -- 35. Kirchoff's Formula for the Wave Equation. Huygens' Principle.".
catalog title "Partial differential equations : an introduction with Mathematica and MAPLE / Ioannis P. Stavroulakis, Stepan A. Tersian.".
catalog type "text".