Engineering Mathematics

CHAPTER 1: FOURIER SERIES

Fourier series is about expressing different functions as an infinite series involving terms containing sine and cosine functions. The following is a comparative of various forms under different conditions of interval domains along with the corresponding formulae to determine the coefficients of sine and cosine terms called the Euler’s formula and the coefficients themselves are known as Euler’s coefficients.

Parseval's Identity (Or Theorem)

Corollary to Parseval's Theorem:

Harmonic Analysis:

CHAPTER 2: LAPLACE TRANSFORMS

CHAPTER 3: FOURIER INTEGRAL AND FOURIER TRANSFORMS