Integral Equations: A Practical Treatment, from Spectral Theory to Applications, Vol. 5
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...
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The book aims to tackle the solution of integral equations using a blend of abstract 'structural' results and more direct, down-to-earth mathematics.
Preface;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 methods for inhomogeneous integral equations; 9. Some singular integral equations; Appendixes; Notation index; Index.
