Engineering Mathematics: v. 1

The book is designed to serve as a textbook for the students of engineering. The book spread in fifteen chapters broadly discusses: convergence and divergence of the infinite series; mean value theorems and expansions of functions; functions of several variables; curvature, evolutes and envelopes; curve tracing; lengths, curves, volumes and surfaces of revolution; multiple integrals; first order and first degree differential equations; orthogonal trajectories and other geometrical application; higher order differential equations; linear differential equations with constant coefficients; applications of differential equations; Laplace transforms; vector calculus, gradient, divergence and curl of functions; and, Green's, Gauss' and Stoke's theorems.