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

by H. S. Carslaw

**Publisher**: Macmillan and co. 1921**ISBN/ASIN**: 0486600483**Number of pages**: 346

**Description**:

As an introductory explanation of the theory of Fourier's series, this clear, detailed text is outstanding. It covers tests for uniform convergence of series, a thorough treatment of term-by-term integration and the second theorem of mean value, enlarged sets of examples on infinite series and integrals, and a section dealing with the Riemann Lebeague theorem and its consequences.

Download or read it online for free here:

**Download link**

(multiple formats)

## 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.

(

**9164**views)

**Spherical Harmonics in p Dimensions**

by

**Christopher Frye, Costas J. Efthimiou**-

**arXiv**

The authors prepared this booklet in order to make several useful topics from the theory of special functions, in particular the spherical harmonics and Legendre polynomials for any dimension, available to physics or mathematics undergraduates.

(

**9940**views)

**Chebyshev and Fourier Spectral Methods**

by

**John P. Boyd**-

**Dover Publications**

The text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, cardinal functions, etc.

(

**19263**views)

**Lectures on Mean Periodic Functions**

by

**J.P. Kahane**-

**Tata Institute of Fundamental Research**

Mean periodic functions are a generalization of periodic functions. The book considers questions such as Fourier-series, harmonic analysis, the problems of uniqueness, approximation and quasi-analyticity, as problems on mean periodic functions.

(

**9160**views)