Introduction to Modern Analysis

Shmuel Kantorovitz - Collection Oxford Graduate Texts in Mathematics

446 pages, parution le 29/06/2006

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Résumé

A comprehensive and lucid text covering the basic tools of modern analysis
Each chapter provides an ideal source for study and general reference
Contains over 120 end-of-chapter exercises
Solutions to exercises available on a companion website

This new-in-paperback text is based on lectures given by the author at the advanced undergraduate and graduate levels in Measure Theory, Functional Analysis, Banach 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 discuss applications in Probability Theory and Partial Differential Equations.

Solutions to the end of chapter exercises may be found on the companion website for this text.

Readership: Advanced undergraduate and graduate students and researchers in mathematics.

Sommaire

Measures
Construction of measures
Measure and topology
Continuous linear functionals
Duality
Bounded operators
Banach algebras
Hilbert spaces
Integral representation
Unbounded operators
Application I:Probability
Application II: Distributions

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	PAPIER
Éditeur(s)	Oxford University Press
Auteur(s)	Shmuel Kantorovitz
Collection	Oxford Graduate Texts in Mathematics
Parution	29/06/2006
Nb. de pages	446
Format	15,5 x 23
Couverture	Broché
Poids	670g
Intérieur	Noir et Blanc
EAN13	9780199203154
ISBN13	978-0-19-920315-4