Linear Partial Differential Equations and Fourier Theory

Linear Partial Differential Equations and Fourier Theory
by Marcus Pivato

Publisher: Cambridge University Press 2005
ISBN/ASIN: 0521136598
ISBN-13: 9780521136594
Number of pages: 431

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.