Linear Partial Differential Equations and Fourier Theory
by Marcus Pivato
Publisher: Cambridge University Press 2005
ISBN/ASIN: 0521136598
ISBN-13: 9780521136594
Number of pages: 619
Description:
This is a textbook for an introductory course on linear partial differential equations and initial/boundary value problems. It also provides a mathematically rigorous introduction to basic Fourier analysis, which is the main tool used to solve linear PDEs in Cartesian coordinates. Finally, it introduces basic functional analysis. This is necessary to rigorously characterize the convergence of Fourier series, and also to discuss eigenfunctions for linear differential operators.
Download or read it online for free here:
Download link
(13MB, PDF)
Similar books
![Book cover: An elementary treatise on Fourier's series and spherical, cylindrical, and ellipsoidal harmonics](images/4038.jpg)
by William Elwood Byerly - Ginn and company
From the table of contents: Development in Trigonometric Series; Convergence of Fourier's Series; Solution of Problems in Physics by the Aid of Fourier's Integrals and Fourier's Series; Zonal Harmonics; Spherical Harmonics; Cylindrical Harmonics; ...
(17077 views)
![Book cover: Real Harmonic Analysis](images/11965.jpg)
by Pascal Auscher, Lashi Bandara - ANU eView
This book presents the material covered in graduate lectures delivered in 2010. Moving from the classical periodic setting to the real line, then to, nowadays, sets with minimal structures, the theory has reached a high level of applicability.
(5865 views)
![Book cover: Notes on Harmonic Analysis](images/6248.jpg)
by George Benthien
Tutorial discussing some of the numerical aspects of practical harmonic analysis. Topics include Historical Background, Fourier Series and Integral Approximations, Convergence Improvement, Differentiation of Fourier Series and Sigma Factors, etc.
(11276 views)
![Book cover: Harmonic Analysis](images/7187.jpg)
by S.R.S. Varadhan - New York University
Fourier Series of a periodic function. Fejer kernel. Convergence Properties. Convolution and Fourier Series. Heat Equation. Diagonalization of convolution operators. Fourier Transforms on Rd. Multipliers and singular integral operators. etc...
(10276 views)