Mathematics for degree students / by Mittal P.K.
Material type:
TextLanguage: English Publication details: S. Chand, 2012. New Delhi:Description: xi,1023pISBN: - 9788121932400
- 510 MIT-M
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| 510 AGA-M Mathematics and Statistics / | 510 KLI-M Mathematics for the nonmathematician | 510 MAC-M Mathematics and statistics for life scientists / | 510 MIT-M Mathematics for degree students / | 510 MIT-M Mathematics for degree students / | 510 MIT-M Mathematics for degree students / | 510 MIT-M Mathematics for degree students / |
Algebra--
1.Functions and relations--
2.Congruence of integers--
3.Elementary operations and inverse of a matrix --
4.Elementary operations and inverse of a matrix --
5.Linear dependence of vectors--
6.Rank of a matrix--
7.Linear equation--
8.Characteristic Roots and vectors --
9.Theory of equations--
10.Group--
11.Permutations --
12.Homomorphism and isomorphsm --
13.Normal sub-groups--
14.Rings and subrings--
15.Integral domain and field--
Trigonometry--
1.De movere's theorem and deductions
2. hyperbolic functions --
3.Incerse Hyperbollic Function--
4.Logarithms of complex quantities --
5.Gregory's series --
6.Trigonometrical expansions --
7.Summation of series.
Differential calculus--
1.Limits and continuity --
2. Differentiability --
3.Successive differntiation --
4.Expansion of functions--
5.Asymptotes --
6.Curvature --
7.Concavity, convexity and singular points--
8.Curve trcing--
Ordinary differential equations--
1.Differential equations : an introduction --
2.Differential equations of first order and not of first degree--
3.Differential equations of first order but and first degree--
4.Geometrical interpretation and orthogonal trajections --
5.Linear Differential equations with constant coefficients --
6.Homogeneous linear differential equations variable coefficients --
7.Linear differential equations of second order with variable coefficients--
8.Simultaneous ordinary differential equations.
Vector analysis--
1.Multiple products--
2.Differential of vectors--
3.Differential of Operators --
4.Integration of vectors --
5.Gaus's green's and stoke's theorem --
Geometry ---
Two Dimensional --
1.General equation of second degree and tracing of conics--
2.System of conics : confocal connics ---
3.Polar equations--
Three dimensional --
1.Systems of coordinates --
2.The plane --
3.The straight line --
4.The sphere --
5.Cones,cylinders ---
6.conincide --
7.Plane section of conicoids --
8.Generating lines of conicoids --
9.General equation of the second degree --
10.Confocla conicoids .
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