Introduction

UNIT II

FOURIER SERIES

Drichlet's conditions-General Fourier series Odd and even functions - Half range sine series - Half range cosine series Complex form of Fourier Series Parseval's identity - Harmonic Analysis.

INTRODUCTION

Fourier series, is named after the French Mathematician cum physicist Jean-Baptiste Joseph Fourier (1768 - 1830). He introduced Fourier Series in 1822, while he was investigating the problem of heat conduction. The series of sines and cosines are known after him.

Fourier Series are of cosine and e and sine terms terms and arise in the important practical task of representing general periodic functions. They constitute a very important tool in solving problems that involve ordinary and partial differential equations.

§ Use of Fourier Series:

Fourier series are particularly suitable for expansion of periodic functions. We come across many periodic functions in voltage, current, flux, density, applied force, potential and electromagnetic force in electricity. Hence, Fourier Series are very useful in electrical engineering problems.