**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

**An elementary treatise on Fourier's series and spherical, cylindrical, and ellipsoidal harmonics**

by

**William Elwood Byerly**-

**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; ...

(

**11886**views)

**Harmonic Function Theory**

by

**Sheldon Axler, Paul Bourdon, Wade Ramey**-

**Springer**

A book about harmonic functions in Euclidean space. Readers with a background in real and complex analysis at the beginning graduate level will feel comfortable with the text. The authors have taken care to motivate concepts and simplify proofs.

(

**9965**views)

**Nonlinear Fourier Analysis**

by

**Terence Tao, Christoph Thiele**-

**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.

(

**5628**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.

(

**2101**views)