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Real Variables de Alberto Torchinsky

Real Variables

Autor Alberto Torchinsky
en Limba Engleză Paperback – mar 1998
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.
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Specificații

ISBN-13: 9780201483277
ISBN-10: 0201483270
Pagini: 416
Dimensiuni: 156 x 234 x 22 mm
Greutate: 0.52 kg
Ediția:1
Editura: CRC Press
Colecția CRC Press

Cuprins

* 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

Descriere

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.