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 Theoryby 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.
(11174 views)
Harmonic Analysisby S.R.S. Varadhan - New York University
Fourier Series of a periodic function. Fejer kernel. Convergence Properties. Convolution and Fourier Series. Heat Equation. Diagonalization of convolution operators. Fourier Transforms on Rd. Multipliers and singular integral operators. etc...
(11972 views)
Fourier Series and Systems of Differential Equations and Eigenvalue Problemsby Leif Mejlbro - BookBoon
This volume gives some guidelines for solving problems in the theories of Fourier series and Systems of Differential Equations and eigenvalue problems. It can be used as a supplement to the textbooks in which one can find all the necessary proofs.
(15325 views)
Lectures on Mean Periodic Functionsby 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.
(10969 views)