Introduction to Modern Analysis (Oxford Graduate Texts in Mathematics)

by Shmuel Kantorovitz

Overview

This text is based on lectures given by the author at the advanced undergaraduate and graduate levels in Measure theory, Functional Analysis, Bannach Algebras, Spectral Theory (of bounded and unbounded operators), Semigroups of Operators, Probability and Mathematical Statistics, and Partial Differential Equations. The first 10 chapters discuss theoretical methods in Measure Theory and Functional Analysis and contain over 120 end of chapter exercises. the final two chapters apply theory to applications in Probability Theory and Partial Differential Equations.

Product Details

ISBN-13:	9780198526568
Publisher:	OUP Oxford
Publication date:	02/28/2003
Series:	Oxford Graduate Texts in Mathematics Series
Edition description:	New Edition
Pages:	432
Product dimensions:	9.30(w) x 6.20(h) x 1.20(d)

About the Author

Bar-Ilan University

Table of Contents

Preface
1. Measures
2. Construction of Measures
3. Measure and Topology
4. Continuous Linear Functionals
5. Duality
6. Bounded Operators
7. Banach Algebras
8. Hilbert Spaces
9. Intergral Representation
10. Unbounded Operators
Application I:Probability
Application II: Distributions
Bibliography
Index