Real Variables: 1st Edition (Paperback) book cover

Real Variables

1st Edition

By Alberto Torchinsky

CRC Press

416 pages

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Paperback: 9780201483277
pub: 1998-03-01
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Description

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.

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

Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General