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