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Linear Integral Equations [electronic resource] :Theory & Technique / by Ram P. Kanwal.

by Kanwal, Ram P [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Modern Birkhäuser Classics: Publisher: New York, NY : Springer New York : 2013.Description: XIII, 318 p. 13 illus. online resource.ISBN: 9781461460121.Subject(s): Mathematics | Integral equations | Integral Transforms | Differential Equations | Differential equations, partial | Mathematics | Integral Equations | Applications of Mathematics | Ordinary Differential Equations | Partial Differential Equations | Integral Transforms, Operational Calculus | Mathematical Applications in the Physical SciencesDDC classification: 515.45 Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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.
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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.

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.

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