Higher Engineering Mathematics – H. K. Dass, Er. Rajnish Verma – 1st Edition

1. Patrial differentiation
2. Total differentiation
3. Maxima and minima of functions (toe variables)
4. Errors
5. Jacobians
6. Taylor´s series for functions of two variables
7. Double integrals
8. Aplication of the double integrals
9. Triple integration
10. Aplication of triple integration
11. Diferential equations of first order
12. Diferential equations of second order
13. Cauchy-euler equations, method of variation of parameters
14. Simultaneous linear diferential equations
15. Diferential equation of other types
16. Aplications to diferential equations
17. Determinants
18. Algebra of matrices
19. Rank of matrix
20. Consistency of linears system of equations and their solutions
21. Eigen values, eigen vector, cayley hamilton theorem, diagonalisation
22. Review of vector algebra
23. Diferentiation of vector
24. Vector integration
25. Complex numbers
26. Expansion of trigonometric functions
27. Functions of complex variable, analityc fuction
28. Conformal transformation
29. Complex integration
30. Taylor´s and laurent´s series
31. The calculus of residues
32. Series solutions of second order differential equations
33. Bessel´s fuctions
34. Legendre fuctions
35. Hermite function
36. Lagguerre,s fuction
37. Chebyshev polynomials
38. Gama, beta fuctions
39. Infinite series
40. Fourier series
41. Integral transforms
42. Laplace transform
43. Inverse laplacace transforms
44. Z- transforms
45. Hankel transform
46. Hilbert transform
47. First order lagrange,s linear diferential equations
48. Linear partial differential equations with constant coefficients of 2dn order
49. Applications of partial differential equations
50. Algebraic an transcendental equations
51. Simultaneous linear equations
52. Numerical technique for solution of ordinary diferential equations
53. Numerical techniques for solutions of partial differential equation
54. Calculus of variation
55. Tensor analysis
56. Linear programming
57. Stastical technique
58. Method of least squares
59. Correlation and regression
60. Correlation an multiple regression analysos
61. Probability
62. Sampling methods
63. Binomial distribution
64. Poisson distribution
65. Normal distribution
66. Fuzy set
index