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Partial Differential Equations I : Basic Theory

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Cover of 'Partial Differential Equations I : Basic Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Basic Theory of ODE and Vector Fields
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    Chapter 2 The Laplace Equation and Wave Equation
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    Chapter 3 Fourier Analysis, Distributions, and Constant-Coefficient Linear PDE
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    Chapter 4 Sobolev Spaces
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    Chapter 5 Linear Elliptic Equations
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    Chapter 6 Linear Evolution Equations
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    Chapter 7 Outline of Functional Analysis
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    Chapter 8 Manifolds, Vector Bundles, and Lie Groups
Attention for Chapter 2: The Laplace Equation and Wave Equation
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