**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 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.

(

**5537**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.

(

**6043**views)

**Linear Partial Differential Equations and Fourier Theory**

by

**Marcus Pivato**-

**Cambridge University Press**

Textbook for an introductory course on linear partial differential equations and boundary value problems. It also provides introduction to basic Fourier analysis and functional analysis. Written for third-year undergraduates in mathematical sciences.

(

**24049**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.

(

**7105**views)