Fourier Methods with Applications

Abstract

Fourier method or Fourier analysis is a branch of mathematics that was developed formally some 150 years after Newton’s and Leibniz’ calculus and heavily depended on integral and differential calculus. Jean Baptiste Joseph Fourier was born in 1768 in Auxerre, a town between Paris and Dijon. He became fascinated by mathematics at the age of 13 years. After the French revolution, Fourier taught in Paris, then accompanied Napoleon to Egypt and served as permanent secretary of the Institute of Egypt. He wrote a book on Egypt and in certain quarters he is famous as an Egyptologist rather than for his contributions to mathematics and physics.