Integral transform and the Fourier series are two important concepts in the field of science and engineering. The understanding of these concepts at the graduate level plays a significant role, especially in the electrical and electronic communication fields. Periodic functions frequently appear in the field of engineering and science. Fourier series is the result of their representation in terms of simple periodic functions like sine and cosine. In the context of issues involving partial differential equations, the Fourier series is a particularly useful instrument. The study of the Fourier series is important in the field of electrical engineering and electronic communication. This book is a text and a reference book for undergraduate students and readers of mathematics, science, and engineering. A concerted effort has been made to offer practically all of the standard content, as well as some new material. This book is intended to serve as a fresh resource for both classical and contemporary topics involving integral transforms and their applications. For more details, please visit https: //centralwestpublishing.com