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Introductory Functional Analysis : With Applications to Boundary Value Problems and Finite Elements

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Cover of 'Introductory Functional Analysis : With Applications to Boundary Value Problems and Finite Elements'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Sets
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    Chapter 3 Sets of functions and Lebesgue integration
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    Chapter 4 Vector spaces, normed, and inner product spaces
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    Chapter 5 Properties of normed spaces
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    Chapter 6 Linear operators
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    Chapter 7 Orthonormal bases and Fourier series
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    Chapter 8 Distributions and Sobolev spaces
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    Chapter 9 Elliptic boundary value problems
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    Chapter 10 Variational boundary value problems
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    Chapter 11 Approximate methods of solution
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    Chapter 12 The finite element method
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    Chapter 13 Analysis of the finite element method
Attention for Chapter 8: Distributions and Sobolev spaces
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