Logo

Linear Partial Differential Equations and Fourier Theory

Large book cover: Linear Partial Differential Equations and Fourier Theory

Linear Partial Differential Equations and Fourier Theory
by

Publisher: Cambridge University Press
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: Harmonic AnalysisHarmonic Analysis
by - University of Kentucky
These notes are intended for a course in harmonic analysis on Rn for graduate students. The background for this course is a course in real analysis which covers measure theory and the basic facts of life related to Lp spaces.
(10256 views)
Book cover: An elementary treatise on Fourier's series and spherical, cylindrical, and ellipsoidal harmonicsAn elementary treatise on Fourier's series and spherical, cylindrical, and ellipsoidal harmonics
by - 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; ...
(17133 views)
Book cover: Nonlinear Fourier AnalysisNonlinear Fourier Analysis
by - arXiv
The nonlinear Fourier transform is the map from the potential of a one dimensional discrete Dirac operator to the transmission and reflection coefficients thereof. Emphasis is on this being a nonlinear variant of the classical Fourier series.
(9312 views)
Book cover: Lectures on Potential TheoryLectures on Potential Theory
by - Tata Institute of Fundamental Research
In the following we shall develop some results of the axiomatic approaches to potential theory principally some convergence theorems; they may be used as fundamental tools and applied to classical case as we shall indicate sometimes.
(9329 views)