Although a number of books dealing with various topics in Engineering Mathematics are available, I think there is a need of a comprehensive book dealing with the basic ideas of Applied Mathematics for the first year Engineering students. This book presented in two volumes is specially designed as a companion for the first and second semester Engineering students.
This book Useful for Engneering Mathematics.
Module-I : Differential Calculus
1. Curvature
2. Indeterminateforms
3. Partial Differentiation
4. Euler’Stheorem On Homogeneous Functions
5. Chain Rule Forpartial Differentiation
6. Jacobians
7. Taylor’S Seriesexpansion Of Functions Of Two Variables
8. Maxima Andminima Of Functions Of Two Variables
9. Error Andapproximation
10. Infinite Series Of Real Numbers
Module- II : Infinite Series
11. Series Of Function And Power Series
12. Successive Differentiation
13. Series Expansion Of differential Functions
Module - III : Matrices
14. Elementary Ideas Of Matrices
15. Rank Of A Matrix
16. Onsolving Systems Of Linear Equations
17. Eigen Values Andeigen Vectors
18. Real Quadratic Forms
Module IV : Fourierseries
19.Fourier Series Of 2P - Periodic Fractions
20. Fourierseries Of 2T - Periodic Fractions
21. Practical Harmonicanalysis
22. Sample Short Questions