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Emphasis on applications to theoretical mechanics, mathematical physics, and applied mathematics
Presents a variety of techniques with extensive examples
Many physical problems that are usually solved by differential equation methods can be solved more effectively by integral equation methods. Such problems abound in applied mathematics, theoretical mechanics, and mathematical physics. This uncorrected softcover reprint of the second edition places the emphasis on applications and presents a variety of techniques with extensive examples. Originally published in 1971, Linear Integral Equations is ideal as a text for a beginning graduate level course. Its treatment of boundary value problems also makes the book useful to researchers in many applied fields.
Content Level »Graduate
Keywords »Differential Equations - Fredholm Theory - Integral Equations - Mixed Boundary Value Problems - Successive Approximations - Symmetric Kernels
Introduction.- Integral Equations with Separable Kernels.- Method Of Successive Approximations.- Classical Fredholm Theory.- Applications of Ordinary Differential Equations.- Applications of Partial Differential Equations.- Symmetric Kernels.- Singular Integral Equations.- Integral Transformation Methods.- Applications to Mixed Boundary Value Problems.- Integral Equations Perturbation Methods.- Appendix.- Bibliography.- Index.