Integral Equations: A Practical Treatment, from Spectral Theory to Applications (Cambridge Texts in Applied Mathematics, Series Number 5)

by: David Porter (Author),David S. G. Stirling(Author)

Publisher: Cambridge University Press
Edition: 1st

Publication Date: September 28, 1990

Language: English

Print Length: 388 pages

ISBN-10: 0521337429

ISBN-13: 9780521337427

Book 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 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.
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. Read more