Engineering mathematics, a branch of applied mathematics, focuses on employing mathematical methods and techniques in engineering and industrial applications. It serves as an interdisciplinary subject closely linked with fields like engineering physics and engineering geology. Major areas of study within engineering mathematics include real and complex analysis, differential equations, Fourier analysis, potential theory, approximation theory. Specializations within this field encompass engineering optimization and engineering statistics. Engineering statistics involves analyzing data pertaining to various manufacturing processes, such as tolerances, material types, and fabrication process control. Engineering optimization uses optimization techniques to achieve design objectives in engineering. This book provides significant information of this discipline to help develop a good understanding of engineering mathematics and related fields. While understanding the long-term perspectives of the topics, the book makes an effort in highlighting their impact as a modern tool for the growth of the discipline. It aims to serve as a resource guide for students and experts alike.