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Mathematics for degree students / by Mittal P.K.

By: Material type: TextTextLanguage: English Publication details: S. Chand, 2012. New Delhi:Description: xi,1023pISBN:
  • 9788121932400
Subject(s): DDC classification:
  • 510 MIT-M
Contents:
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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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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