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## Compact Sets and Continuous Functions on Compact Sets

[latexpage] INTRODUTION In advance analysis, the notion of 'Compact set' is of paramount importance. In $\mathbb{R}$, Heine-Borel theorem provides a very simple characterization of compact sets. The definition and techniques used in connection with compactness of sets in $\mathbb{R}$ are...

## Fourier Series

INTRODUCTION The study of a special type of series whose terms are trigonometric functions of a variable was started in the 18th century when J.B.J. Fourier (1768-1830) was successful in his attempt to prove that an arbitrary function given in the interval $[-\pi,\pi]$ can be expressed under...