Engineering Mathematics

Foreword / Preface / Sequences and Infinite Series / Mean Value Theorems, Envelopes and Evolutes / Ordinary Differential Equations of First Order / Linear Differential Equations of Second and Higher Order / Laplace Transforms / Functions of Several Variables / Curve Tracing and Some Properties of Polar Curves / Lengths, Volumes, Surface Areas and Multiple Integrals / Vector Calculus / Matrices and Linear Systems / Eigen Values and Eigen Vectors / Fourier Series / Partial Differential Equations / Applications of Partial Differential Equations / Probability / Random Variables and Probability Distributions / Joint Distributions / Sampling Distributions / Statistical Estimation and Inference / Curve Fitting, Regression and Correlation / Fourier and Z-Transforms / Numerical Methods / Appendix / References / Index

Engineering Mathematics incorporates in one volume the material covered in the mathematics course of undergraduate programmes in engineering and technology. The topics discussed include sequences and series, mean value theorems, evolutes, functions of several variables, solutions of ordinary and partial differential equations, Laplace, Fourier and Z- transform with their applications. The book also contains chapters on vector calculus, matrices, Fourier series and numerical algorithms. The text is substantiated with about 450 worked-out examples and nearly an equal number of exercises.