Real and Functional Analysis

Real and Functional Analysis

by Serge Lang

Paperback(3rd ed. 1993. Softcover reprint of the original 3rd ed. 1993)

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This book is meant as a text for a first-year graduate course in analysis. In a sense, it covers the same topics as elementary calculus but treats them in a manner suitable for people who will be using it in further mathematical investigations. The organization avoids long chains of logical interdependence, so that chapters are mostly independent. This allows a course to omit material from some chapters without compromising the exposition of material from later chapters.

Product Details

ISBN-13: 9781461269380
Publisher: Springer New York
Publication date: 10/23/2012
Series: Graduate Texts in Mathematics , #142
Edition description: 3rd ed. 1993. Softcover reprint of the original 3rd ed. 1993
Pages: 580
Sales rank: 1,269,119
Product dimensions: 6.10(w) x 9.25(h) x 0.05(d)

Table of Contents

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.

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