**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

**Lectures on Potential Theory**

by

**M. Brelot**-

**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.

(

**6148**views)

**Notes on Harmonic Analysis**

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.

(

**7699**views)

**Harmonic Analysis**

by

**Russell Brown**-

**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.

(

**6682**views)

**Lectures on Harmonic Analysis**

by

**Thomas Wolff**-

**American Mathematical Society**

An inside look at the techniques used and developed by the author. The book is based on a graduate course on Fourier analysis he taught at Caltech. It demonstrates how harmonic analysis can provide penetrating insights into deep aspects of analysis.

(

**7460**views)