Mathematics for Higher Level Competitive Exams 13 Edition  (English, Paperback, Shantanu Roy, RPH Editorial Board)

Table of Contents

1. Set Theory
2. Relation and Functions
3. Number Theory
4. Complex Number
5. Theory of Equation
6. Progression
7. Exponential and Logarithmic Series
8. Permutation and Combination
9. Binomial Theorem
10. Inequality
11. Group
12. Ring and Field
13. Vector Space
14. Matrices
15. Determinant
16. Limit, Continuity and Differentiability
17. Rolle’s Mean Value, Taylor’s and Maclaurin’s Theorem
18. Tangents and normal
19. Maxima and Minima
20. Curvature and Asymptotes
21. Singular Points
22. Partial Differentiation
23. Indefinite Integral
24. Definite Integrals
25. Rectification, Quadrature, Volume and Surfaces
26. Multiple Integration
27. Differential Equation
28. Differential Equation of First order but not of first Degree
29. Linear differential equations with constant co=efficient
30. Convergence of Series and Sequence
31. Preliminary concepts in two Dimensional geometry
32. Pair of straight lines
33. The Circle
34. The Parabola
35. The Ellipse
36. The  Hyperbola
37. Preliminary Concepts in 3D
38. The plane
39. The Straight line
40. The sphere
41. The Cone
42. The cylinder
43. Trigonometry
44. Vector algebra
45. Measures of Central Tendency and Dispersion
46. Curve fitting and method of least square
47. Correlati9on and regression
48. Probability
49. Mathematical Expectation and generating functions
50. Binomial, Poisson and Normal Distribution
51.  Numerical Methods