The subject matter is presented in a very systematic and logical manner. Every endeavour has been made to make the contents as simple and lucid as possible. Emphasis has been laid on making the concepts clear. Lot of pains and concentration on the part of the author has gone in solving the examples in the best possible way. In providing the solution of the problems, care has been taken not to miss even minor step so that the students can follow the subject even without the guidance of the teacher.

The main features of the book are as follows:

1. The book contains fairly large number of solved examples from question papers of examinations recently conducted by different universities and Engineering Colleges.

2. More than 600 objective type questions are added in this Book.

1. ELEMENTARY ROW AND COLUMN TRANSFORMATION

2. RANK OF MATRIX

3. CONSISTENCY OF LINEAR SYSTEM OF EQUATIONS AND THEIR SOLUTION

4. EIGEN VALUES, EIGEN VECTOR, CAYLEY HAMILTON THEOREM, DIAGONALISATION

5. LEIBNITZ’S THEOREM

6. PARTIAL DIFFERENTIATION

7. CHANGE OF VARIABLES

8. CURVE TRACING

9. EXPANSION OF FUNCTION OF SEVERAL VARIABLES

10. JACOBIANS

11. APPROXIMATION AND ERRORS

12. EXTREMA OF FUNCTIONS OF SEVERAL VARIABLES, LAGRANGE’S METHOD OF MULTIPLIERS

13. DOUBLE INTEGRALS

14. CHANGE OF ORDER AND CHANGE OF VARIABLE

15. AREA AND VOLUME (By Double Integration)

16. TRIPLE INTEGRATION

17. GAMMA, BETA FUNCTION

18. VECTOR DIFFERENTIATION (POINT FUNCTION, GRADIENT, DIVERGENCE AND CURL OF A VECTOR AND THEIR PHYSICAL INTERPRETATIONS)

19. VECTOR INTEGRATION