[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...

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## Fourier Series

by ms-academy | Math Learning, Math Lecture

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...