**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 Topics in Mean Periodic Functions and the Two-Radius Theorem**

by

**J. Delsarte**-

**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.

(

**4638**views)

**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.

(

**4588**views)

**Introduction to the Theory of Fourier's Series and Integrals**

by

**H. S. Carslaw**-

**Macmillan and co.**

An introductory explanation of the theory of Fourier's series. It covers tests for uniform convergence of series, a thorough treatment of term-by-term integration and second theorem of mean value, enlarged sets of examples on infinite series, etc.

(

**1241**views)

**Real Harmonic Analysis**

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.

(

**641**views)