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Analysis

Foundations and Applications

Emmanuele DiBenedetto (Autor)

Buch | Hardcover

509 Seiten

2002 | 2002 ed.
Birkhauser Boston (Verlag)
978-0-8176-4231-0 (ISBN)

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A text in real analysis that provides a building block for research in analysis, PDEs, the calculus of variations, probability, and approximation theory. Covering the core topics such as a basic introduction to functional analysis, it discusses other topics including Radon measures, the Besicovitch covering Theorem, and the Rademacher theorem.

This graduate text in real analysis is a solid building block for research in analysis, PDEs, the calculus of variations, probability, and approximation theory. It covers all the core topics, such as a basic introduction to functional analysis, and it discusses other topics often not addressed including Radon measures, the Besicovitch covering Theorem, the Rademacher theorem, and a constructive presentation of the Stone-Weierstrass Theoroem.

Preface * Preliminaries * Topologies and Metric Spaces * Measuring Sets * The Lebesgue Integral * Topics on Measurable Functions of Real Variables * The L^p Spaces * Banach Spaces * Spaces of Continuous Functions, Distributions, and Weak Derivitives * Topics on Integrable Functions of Real Variables * Embedding of W ^1,p (E) into L^q (E) * References * Index

Erscheint lt. Verlag	1.4.2002
Reihe/Serie	Birkhäuser Advanced Texts / Basler Lehrbücher
Zusatzinfo	biography
Verlagsort	Berlin
Sprache	englisch
Maße	156 x 234 mm
Gewicht	896 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie
ISBN-10	0-8176-4231-5 / 0817642315
ISBN-13	978-0-8176-4231-0 / 9780817642310
Zustand	Neuware