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I Motivating examples and major applications
1 Heat and diffusion
2 Waves and signals
3 Quantum mechanics
II General theory
4 Linear partial differential equations
5 Classification of PDEs and problem types
III Fourier series on bounded domains
6 Some functional analysis
7 Fourier sine series and cosine series
8 Real Fourier series and complex Fourier series
9 Multidimensional Fourier series
10 Proofs of the Fourier convergence theorems
IV BVP solutions via eigenfunction expansions
11 Boundary value problems on a line segment
12 Boundary value problems on a square
13 Boundary value problems on a cube
14 Boundary value problems in polar coordinates
15 Eigenfunction methods on arbitrary domains
V Miscellaneous solution methods
16 Separation of variables
17 Impulse-response methods
18 Applications of complex analysis
VI Fourier transforms on unbounded domains
19 Fourier transforms
20 Fourier transform solutions to PDEs
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Linear Partial Differential
Equations and Fourier Theory
Marcus Pivato
Equations and Fourier Theory
Marcus Pivato
Table of Contents
1 Heat and diffusion
2 Waves and signals
3 Quantum mechanics
II General theory
4 Linear partial differential equations
5 Classification of PDEs and problem types
III Fourier series on bounded domains
6 Some functional analysis
7 Fourier sine series and cosine series
8 Real Fourier series and complex Fourier series
9 Multidimensional Fourier series
10 Proofs of the Fourier convergence theorems
IV BVP solutions via eigenfunction expansions
11 Boundary value problems on a line segment
12 Boundary value problems on a square
13 Boundary value problems on a cube
14 Boundary value problems in polar coordinates
15 Eigenfunction methods on arbitrary domains
V Miscellaneous solution methods
16 Separation of variables
17 Impulse-response methods
18 Applications of complex analysis
VI Fourier transforms on unbounded domains
19 Fourier transforms
20 Fourier transform solutions to PDEs
Note: When you open MultiHost link below to MultiHost you can find 4 file hosting sites links in which you can download with your desired hosting site
Click Here To Download
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