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About this book :-
Integral Equations: A Practical Treatment, from Spectral Theory to Applications written by David Porter, David S. G. Stirling.
This book deals with linear integral equations, that is equations involving an unknown function which appear under an integral sign. Such equations occur widely in diverse areas of applied mathematics and physics. In this book the author offer a powerful technique for solving varienty of practical problems.
This book gives a rigorous and practical treatment of integral equations and aims to tackle the solution of integral equations using a blend of abstract structural results and more direct, down-to-earth mathematics. The interplay between these two approaches is a central feature of the text, and it allows a thorough account to be given of many of the types of integral equation that arise, particularly in numerical analysis and fluid mechanics. Because it is not always possible to find explicit solutions to the problems posed, much attention is devoted to obtaining qualitative information and approximations and the associated error estimates.
Book Detail :-
Title: Integral Equations: A Practical Treatment, from Spectral Theory to Applications
Author(s): David Porter, David S. G. Stirling
Publisher: Cambridge University Press
Series: Cambridge Texts in Applied Mathematics
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About Author :-
The Author David Porter was Senior Lecturer in Applied Mathematics, University of Reading, UK.
The Author David S. G. Stirling was Gemamn Math expert form University Stuttgart, INstitute fur Angewandte, Analysis und Numerische Simulation, Germany.
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Book Contents :-
Integral Equations: A Practical Treatment, from Spectral Theory to Applications written by David Porter, David S. G. Stirling cover the following topics.
1. Classification and examples of integral equations
2. Second Order Ordinary differential equations and integral equations
3. Integral equations of the second kind
4. Compact Operators
5. The spectrum of a compact self adjoint operator
6. Positive Operators
7. Approximation methods for eigenvalues and eigenvectors of self adjoint operators
8. Approximation Mathods for Inhomogeneous Integral Equations
9. Some Singular Integral Equations
Appendix A. Functional Analysis
Appendix B. Measure Theory and Integration
Appendix C. Miscellaneous Results
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