Foundations of Mathematical Analysis
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ISBN-13:
9780486477664
Veröffentl:
2010
Erscheinungsdatum:
20.05.2010
Seiten:
448
Autor:
Richard Johnsonbaugh
Gewicht:
460 g
Format:
217x139x23 mm
Sprache:
Englisch
Beschreibung:
Definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. More than 750 exercises; some hints and solutions. 1981 edition.
PrefacePreface to the Dover EditionI Sets and FunctionsII The Real Number SystemIII Set EquivalenceIV Sequences of Real NumbersV Infinite SeriesVI Limits of Real-Valued Functions and Continuous Functions on the Real LineVII Metric SpacesVIII Differential Calculus of the Real LineIX The Riemann-Stieltjes IntegralX Sequences and Series of FunctionsXI Transcendental FunctionsXII Inner Product Spaces and Fourier SpacesXIII Normed Linear Spaces and the Riesz Representation TheoremXIV The Lebesgue IntegralAppendix: Vector SpacesReferencesHints to Selected ExercisesIndexErrata
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