TY - BOOK AU - Mittal, P.K. TI - Mathematics for degree students SN - 9788121932400 U1 - 510 PY - 2012/// CY - New Delhi PB - S. Chand KW - Algebra and trigonometry N1 - 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 ER -