Integral Equations: A Practical Treatment, From Spectral Theory To Applications (cambridge Texts In Applied Mathematics)
by David Porter /
1990 / English / PDF
11.5 MB Download
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.