Introduction to Modern Analysis

by Shmuel Kantorovitz

Overview

This text is based on lectures given by the author at the advanced undergraduate 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:	9780199203154
Publisher:	Oxford University Press, USA
Publication date:	08/31/2006
Series:	Oxford Graduate Texts in Mathematics Series , #8
Edition description:	New Edition
Pages:	448
Product dimensions:	9.10(w) x 6.10(h) x 1.00(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

Editorial Reviews

Review from previous edition
"Here we have the distilled and refined essence of the fruits of world-renowned functional analyst Kantorovitz, who spent 40 years teaching functional analysis to aspiring students of that domain. Everything one might reasonably expect such a student to understand is here, masterfully presented ... A strong bibliography and thorough index nicely complement the main work ... Highly recommended." —F.E.J. Linton, Wesleyan University (Choice)

"... will be useful for advanced undergraduate and graduate students in mathematics."—Zentralblatt Math 11/02/2004

"The book can be viewed as a multi-purpose text for advanced undergraduate and graduate students."— EMS 26/08/2004

"The author offers a refreshingly unorthodox and lucid version of "modern analysis" ... All in all, this book is a valuable and pleasant contribution to the wide field of 'modern analysis'"."—MathSolNet (Mathematical Reviews on the Web) 11/03/2004

From the Publisher