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Real Analysis: Measures, Integrals and Applications

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Cover of 'Real Analysis: Measures, Integrals and Applications'

Table of Contents

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    Book Overview
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    Chapter 1 Measure
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    Chapter 2 The Lebesgue Measure
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    Chapter 3 Measurable Functions
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    Chapter 4 The Integral
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    Chapter 5 The Product Measure
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    Chapter 6 Change of Variables in an Integral
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    Chapter 7 Integrals Dependent on a Parameter
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    Chapter 8 Surface Integrals
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    Chapter 9 Approximation and Convolution in the Spaces
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    Chapter 10 Fourier Series and the Fourier Transform
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    Chapter 11 Charges. The Radon–Nikodym Theorem
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    Chapter 12 Integral Representation of Linear Functionals
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    Chapter 13 Appendices
Attention for Chapter 6: Change of Variables in an Integral
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