Partial Differential Equations of Mathematical Physics
eBook - PDF

Partial Differential Equations of Mathematical Physics

International Series of Monographs in Pure and Applied Mathematics

  1. 440 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Partial Differential Equations of Mathematical Physics

International Series of Monographs in Pure and Applied Mathematics

About this book

Pure and Applied Mathematics, Volume 56: Partial Differential Equations of Mathematical Physics provides a collection of lectures related to the partial differentiation of mathematical physics. This book covers a variety of topics, including waves, heat conduction, hydrodynamics, and other physical problems.Comprised of 30 lectures, this book begins with an overview of the theory of the equations of mathematical physics that has its object the study of the integral, differential, and functional equations describing various natural phenomena. This text then examines the linear equations of the second order with real coefficients. Other lectures consider the Lebesgue–Fubini theorem on the possibility of changing the order of integration in a multiple integral. This book discusses as well the Dirichlet problem and the Neumann problem for domains other than a sphere or half-space. The final lecture deals with the properties of spherical functions.This book is a valuable resource for mathematicians.

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Yes, you can access Partial Differential Equations of Mathematical Physics by S. L. Sobolev, I. N. Sneddon,S. Ulam,M. Stark in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Pergamon
Year
2016
Print ISBN
9780080137209
eBook ISBN
9781483181363
Topic
Mathematics
Subtopic
Applied Mathematics
Index
Mathematics

Table of contents

  1. Front Cover
  2. Partial Differential Equations of Mathematical Physics
  3. Copyright Page
  4. Table of Contents
  5. TRANSLATON EDITOR'S PREFACE
  6. AUTHOR'S PREFACES TO THE FIRST AND THIRD EDITIONS
  7. LECTURE 1. DERTVATON OF THE FUNDAMENTAL EQUATONS
  8. LECTURE 2. THE FORMULATION OF PROBLEMS OF MATHEMATICAL PHYSICS HADAMARD'S EXAMPLE
  9. LECTURE 3. THE CLASSIFICATION OF LINEAR EQUATIONS OF THE SECOND ORDER
  10. LECTURE 4. THE EQUATION FOR A VIBRATING STRING AND ITS SOLUTION BY D'ALEMBERT'S METHOD
  11. LECTURE 5. RIEMANN'S METHOD
  12. LECTURE 6. MULTIPLE INTEGRALS: LEBESGUE INTEGRATION
  13. LECTURE 7. INTEGRALS DEPENDENT ON A PARAMETER
  14. LECTURE 8. THE EQUATION OF HEAT CONDUCTION
  15. LECTURE 9. LAPLACE'S EQUATION AND POISSON'S EQUATION
  16. LECTURE 10. SOME GENERAL CONSEQUENCES OF GREEN'S FORMULA
  17. LECTURE 11. POISSON'S EQUATION IN AN UNBOUNDED MEDIUM. NEWTONIAN POTENTIAL
  18. LECTURE 12. THE SOLUTION OF THE DIRICHLET PROBLEM FOR A SPHERE
  19. LECTURE 13. THE DIRICHLET PROBLEM AND THE NEUMANN PROBLEM FOR A HALF-SPACE
  20. LECTURE 14. THE WAVE EQUATION AND THE RETARDED POTENTIAL
  21. LECTURE 15. PROPERTIES OF THE POTENTIALS OF SINGLE AND DOUBLE LAYERS
  22. LECTURE 16. REDUCTION OF THE DIRICHLET PROBLEM AND THE NEUMANN PROBLEM TO INTEGRAL EQUATIONS
  23. LECTURE 17. LAPLACE'S EQUATON AND POISSON'S EQUATION IN A PLANE
  24. LECTURE 18. THE THEORY OF INTEGRAL EQUATIONS
  25. LECTURE 19. APPLICATION OF THE THEORY OF FREDHOLM EQUATIONS TO THE SOLUTION OF THE DIRICHLET AND NEUMANN PROBLEMS
  26. LECTURE 20. GREEN'S FUNCTION
  27. LECTURE 21. GREEN'S FUNCTION FOR THE LAPLACE OPERATOR
  28. LECTURE 22. CORRECTNESS OF FORMULATION OF THE BOUNDARY-VALUE PROBLEMS OF MATHEMATICAL PHYSICS
  29. LECTURE 23. FOURIER'S METHOD
  30. LECTURE 24. INTEGRAL EQUATONS WTIH REAL, SYMMETRIC KERNELS
  31. LECTURE 25. THE BILINEAR FORMULA AND THE HILBERT–SCHMIDT THEOREM
  32. LECTURE 26. THE INHOMOGENEOUS INTEGRAL EQUATION WTTH A SYMMETRIC KERNEL
  33. LECTURE 27. VIBRATIONS OF A RECTANGULAR PARALLELEPIPED
  34. LECTURE 28. LAPLACE'S EQUATON IN CURVILINEAR COORDINATES. EXAMPLES OF THE USE OF FOURIER'S METHOD
  35. LECTURE 29. HARMONIC POLYNOMIALS AND SPHERICAL FUNCTIONS
  36. LECTURE 30. SOME ELEMENTARY PROPERTIES OF SPHERICAL FUNCTIONS
  37. INDEX
  38. OTHER VOLUMES IN THIS SERIES