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Integration and Modern Analysis

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Cover of 'Integration and Modern Analysis'

Table of Contents

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    Book Overview
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    Chapter 1 Classical Real Variables
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    Chapter 2 Lebesgue Measure and General Measure Theory
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    Chapter 3 The Lebesgue Integral
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    Chapter 4 The Relationship between Differentiation and Integration on $$ \mathbb{R}$$
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    Chapter 5 Spaces of Measures and the Radon–Nikodym Theorem
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    Chapter 6 Weak Convergence of Measures
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    Chapter 7 Riesz Representation Theorem
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    Chapter 8 Lebesgue Differentiation Theorem on $$ \mathbb{R}^d $$
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    Chapter 9 Self-Similar Sets and Fractals
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    Chapter 10 Functional Analysis
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    Chapter 11 Fourier Analysis
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