Book Name: Functional Analysis: An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras
Author: Joseph Muscat
File size: 5.35 MB
File format: PDF
Functional Analysis: An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras Pdf Book Description:
This really is an introduction to practical analysis suited to final year undergraduates or beginning graduates. Its different uses of Hilbert spaces, such as least squares approximation, inverse problems, and Tikhonov regularization, should appeal not only to mathematicians interested in software, but also to researchers from related disciplines.
Functional Evaluation adopts a self indulgent strategy to Banach spaces and operator theory that covers the key themes, based upon the classical arrangement and function spaces and their operators. It assumes just a minimal of knowledge in basic linear algebra and real analysis; the latter is redone in the light of metric distances. It comprises over a million worked out examples and exercises, that constitute the primary body of this publication.