Fourier Series

This classic text features a sophisticated treatment of French mathematician Joseph Fourier’s pioneering method for expressing periodic functions as an infinite series of trigonometrical functions. The Fourier series, which was originally conceived in the course of research into the subject of heat con­duction, is now identified with the solution of boundary-value problems, and pertains to such natural phenomena as tides, sunspots, and the weather.

Geared toward mathematicians already familiar with the elements of Lebasque’s theory of integration, the book—based on the authors lectures at Cambridge University and elsewhere—is intended to serve its an introduc­tion to Sigmund’s standard treatise. Detailed discussions explore, among other topics, the Fourier series in Hilbert space, as well as their convergence and summability. In conclusion, the authors provide an in-depth look at the applications of previously outlined theorems, as well as a final chapter on general trigonometrical series.

Ideally suited both for individual and classroom study, this incisive text offers advanced undergraduate and graduate students in mathematics, physics. and engineering a valuable tool in understanding the essentials of the Fourier series.


1. Generalities
2. Fourier series in Hilbert space
3. Further properties of trigonometrical Fourier series
4. Convergence of Fourier series
5. Summability of Fourier series
6. Applications of the theorems of Chapter V
7. General trigonometrical series

Formato:  pdf Comprimido:  zip Peso:  112.29 MB Lenguaje:  Inglés

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