Real and Functional Analysis

AvSerge Lang

Inbunden, Engelska, 1993

Del 142 i serien Graduate Texts in Mathematics

588 kr

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Beskrivning

This book is meant as a text for a first year graduate course in analysis. Any standard course in undergraduate analysis will constitute sufficient preparation for its understanding, for instance, my Undergraduate Anal ysis. on Dirac sequence approximation and on Fourier analysis), and some material on functional analysis (e.g.

Produktinformation

Utgivningsdatum:1993-04-29
Mått:155 x 235 x 37 mm
Vikt:1 038 g
Format:Inbunden
Språk:Engelska
Serie:Graduate Texts in Mathematics
Antal sidor:580
Upplaga:3
Förlag:Springer-Verlag New York Inc.
ISBN:9780387940014

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Innehållsförteckning

I Sets.- II Topological Spaces.- III Continuous Functions on Compact Sets.- IV Banach Spaces.- V Hilbert Space.- VI The General Integral.- VII Duality and Representation Theorems.- VIII Some Applications of Integration.- IX Integration and Measures on Locally Compact Spaces.- X Riemann-Stieltjes Integral and Measure.- XI Distributions.- XII Integration on Locally Compact Groups.- XIII Differential Calculus.- XIV Inverse Mappings and Differential Equations.- XV The Open Mapping Theorem, Factor Spaces, and Duality.- XVI The Spectrum.- XVII Compact and Fredholm Operators.- XVIII Spectral Theorem for Bounded Hermltian Operators.- XIX Further Spectral Theorems.- XX Spectral Measures.- XXI Local Integration off Differential Forms.- XXII Manifolds.- XXIII Integration and Measures on Manifolds.- Table of Notation.