Real Variables

by Alberto Torchinsky

Overview

A modern introduction to the theory of real variables and its applications to all areas of analysis and partial differential equations. The book discusses the foundations of analysis, including the theory of integration, the Lebesque and abstract integrals, the Radon-Nikodym Theorem, the Theory of Banach and Hilbert spaces, and a glimpse of Fourier series. All material is presented in a clear and motivational fashion.

Product Details

ISBN-13:	9780367091354
Publisher:	Taylor & Francis
Publication date:	06/13/2019
Pages:	416
Product dimensions:	6.00(w) x 9.00(h) x (d)

Table of Contents

* Cardinal Numbers * Ordinal Numbers * The Riemann-Stieltjes Integral * Abstract Measures * The Lebesgue Measure * Measurable Functions * Integration * More about L1 * Borel Measures * Absolute Continuity * Signed Measures * Lp Spaces * Fubinis Theorem * Normed Spaces and Functionals * The Basic Principles * Hilbert Spaces * Fourier Series * Remarks on Problems and Questions