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