Kenneth Kuttler

Modern Analysis (1997) (eBook, ePUB)

• Format: ePub

Produktbeschreibung

Modern Analysis provides coverage of real and abstract analysis, offering a sensible introduction to functional analysis as well as a thorough discussion of measure theory, Lebesgue integration, and related topics.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 584
• Erscheinungstermin: 22. November 2017
• Englisch
• ISBN-13: 9781351359993
• Artikelnr.: 50918018

Autorenporträt

Kenneth Kuttler

Inhaltsangabe

Preface
Set Theory and General Topology
Compactness and Continuous Functions
Banach Spaces
Hilbert Spaces
Calculus in Banach Space
Locally Convex Topological Vector Spaces
Measures and Measurable Functions
The Abstract Lebesgue Integral
The Construction of Measures
Lebesgue Measure
Product Measure
The Lp Spaces
Representation Theorems
Fundamental Theorem of Calculus
General Radon Measures
Fourier Transforms
Probability
Weak Derivatives
Hausdorff Measures
The Area Formula
The Coarea Formula
Fourier Analysis in Rn
Integration for Vector Valued Functions
Convex Functions
Appendix 1: The Hausdorff Maximal Theorem
Appendix 2: Stone's Theorem and Partitions of Unity
Appendix 3: Taylor Series and Analytic Functions
Appendix 4: The Brouwer Fixed Point Theorem
References
Index