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- Startseite
Bücher Englische Bücher Real Analysis
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Beschreibung
This book is a self-contained introduction to real analysis assuming only basic notions on limits of sequences in ]RN, manipulations of series, their convergence criteria, advanced differential calculus, and basic algebra of sets. The passage from the setting in ]RN to abstract spaces and their topologies is gradual. Continuous reference is made to the ]RN setting, where most of the basic concepts… originated. The first seven chapters contain material forming the backbone of a basic training in real analysis. The remaining two chapters are more topical, relating to maximal functions, functions of bounded mean oscillation, rearrangements, potential theory, and the theory of Sobolev functions. Even though the layout of the book is theoretical, the entire book and the last chapters in particular concern applications of mathematical analysis to models of physical phenomena through partial differential equations. The preliminaries contain a review of the notions of countable sets and related examples. We introduce some special sets, such as the Cantor set and its variants, and examine their structure. These sets will be a reference point for a number of examples and counterexamples in measure theory (Chapter II) and in the Lebesgue differentiability theory of absolute continuous functions (Chapter IV). This initial chapter also contains a brief collection of the various notions of ordering, the Hausdorff maximal principle, Zorn's lemma, the well-ordering principle, and their fundamental connections. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Bis zu 50 % günstiger als neu
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Technische Daten
Erscheinungsdatum
29.10.2012
Sprache
Englisch
EAN
9781461266204
Herausgeber
Birkhäuser Boston
Serien- oder Bandtitel
Birkhäuser Advanced Texts Basler Lehrbücher
Sonderedition
Nein
Autor
Emmanuele DiBenedetto
Seitenanzahl
485
Auflage
1
Einbandart
Broschiert
Schlagwörter
Maxima, Maximum, analysis/pdes, applications of mathematics, bounded mean oscillation, calculus, differential equation, functional analysis, linear optimization, measure, measure theory, partial differential equations
Thema-Inhalt
PBW - Angewandte Mathematik
PBK - Mathematische Analysis, allgemein
PBKL - Integralrechnung und -gleichungen
PBKJ - Differentialrechnung und -gleichungen
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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