Integral Equations A Practical Treatment, from Spectral Theory to Applications

ISBN-10: 0521337429
ISBN-13: 9780521337427
Edition: 1990
List price: $69.99 Buy it from $3.55
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Description: 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  More...

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Book details

List price: $69.99
Copyright year: 1990
Publisher: Cambridge University Press
Publication date: 9/28/1990
Binding: Paperback
Pages: 388
Size: 5.75" wide x 8.75" long x 0.75" tall
Weight: 1.188
Language: English

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.

David Porter is the Tisch Family Distinguished Professor at Skidmore College. He is the author ofVirginia Woolf and the Hogarth Press: “Riding a Great Horse”andHorace’s Poetic Journey: A Reading of Odes 1–3.

Preface
Classification and examples of integral equations
Second order ordinary differential equations and integral equations
Integral equations of the second kind
Compact operators
The spectrum of a compact self-adjoint operator
Positive operators
Approximation methods for eigenvalues and eigenvectors of self-adjoint operators
Approximation methods for inhomogeneous integral equations
Some singular integral equations
Appendixes
Notation index
Index

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