The methods and techniques used in the industry and engineering field are engineering mathematics or technomath. It is a branch of applied mathematics and it includes complex analysis, linear algebra, approximation theory, and Fourier analysis, etc. Engineering mathematics is further divided into two special sub-heads namely engineering statistics and engineering optimization. The book studies, analyses and uphold the pillars of engineering mathematics and its utmost significance in modern times. The various sub-fields of the subject along with technological progress that have future implications are glanced at in it. For someone with an interest and eye for detail, this textbook covers the most significant topics in the field of engineering mathematics.