Analysis
Foundations and Applications
Seiten
2002
|
2002 ed.
Birkhauser Boston (Verlag)
978-0-8176-4231-0 (ISBN)
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.
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 |
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