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: 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; ...
(11210 views)
Book cover: Real Harmonic AnalysisReal Harmonic Analysis
by - 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.
(875 views)
Book cover: Lectures on Topics in Mean Periodic Functions and the Two-Radius TheoremLectures on Topics in Mean Periodic Functions and the Two-Radius Theorem
by - Tata Institute of Fundamental Research
Subjects treated: transmutations of singular differential operators of the second order in the real case; new results on the theory of mean periodic functions; proof of the two-radius theorem, which is the converse of Gauss's classical theorem.
(4846 views)
Book cover: Notes on Harmonic AnalysisNotes on Harmonic Analysis
by
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.
(6383 views)