Engineering Mathematics

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.
• Green's, Gauss's and Stoke's theorems.

Contents:
Sequences series / Functions of single variable / Functions of several variables / Curvature, Evolutes and Envelopes / Curve Tracing / Integration and its applications - Lengths, Areas, Volumes and surface areas / Multiple integrals / Differential equations of first order and first degree / Orthogonal trajectories / Higher order linear differential equations / Linear differential equations with constant coefficients and applications of differential equations / Applications of differential equations / Laplace transforms / Vector calculus / Green's, Gauss's and stoke's theorems / Index