This book has been written to meet the requirements of the undergraduate and the post-graduate students of Engineering. The students preparing the A.M.I.E., I.E.T.E., M.Sc. (physics) and M.Sc. mathematics examinations will also find this book highly useful. The subject-matter is presented in a simple and clear style. The theory in each chapter is logically developed and is self explanatory. Each chapter contains a large number of problems selected from various university examinations. Several problems selected from various university examinations. Several problems on each topic have been worked out to make the subject clear.
* Determinants and Matrices
* Co-ordinate Geometry of Three Dimensions
* Partial Differentiation
* Multiple Integrals
* Vector Algebra
* Vector Calculus
* Fourier Series and Harmonic Analysis
* Differential Equations of First Order
* Applications of First Order Differential Equations
* Linear Differential Equations
* Applications of Linear Differential Equations
* Improper Integrals and Special Functions
* Series Solution and Special Functions
* Partial Differential Equations
* Applications of Partial Differential Equations
* Laplace Transformations
* Functions of Complex Variables
* Integral Transforms
*Statistics and Probability
* Numerical Methods and Finite Differences.