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Functional Analysis for the Applied Sciences

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Cover of 'Functional Analysis for the Applied Sciences'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Metric Spaces
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    Chapter 3 The Lebesgue Integral and L p Spaces
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    Chapter 4 Continuous Linear Operators and Functionals
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    Chapter 5 Distributions, Sobolev Spaces
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    Chapter 6 Hilbert Spaces
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    Chapter 7 Adjoint, Symmetric, and Self-adjoint Linear Operators
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    Chapter 8 Eigenvalues and Eigenvectors
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    Chapter 9 Semigroups of Linear Operators
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    Chapter 10 Solving Linear Evolution Equations by the Fourier Method
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    Chapter 11 Integral Equations
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    Chapter 12 Answers to Exercises
Attention for Chapter 3: The Lebesgue Integral and L p Spaces
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