MATHEMATICS-ADVANCED CALCULUS-IN HINDI: ADVANCED CALCULUS(HINDI)
About this ebook
Unit-2 Continuity of functions of single variable, sequential continuity. Properties of continuous functions. Uniform continuity, chain rule of differentiability. Mean value theorems and their geometrical interpretations. Darboux's intermediate value theorem for derivatives.
Unit-3 Limit and continuity of functions of two variables, Partial differentiation, Change of variables, Euler’s Theorem on homogeneous functions, Taylor’s theorem for functions of two variables, Jacobians.
Unit-4 Envelopes, Evolutes, Maxima and Minima of functions of two variables. Lagrange's multiplier method. Beta and Gamma functions.
Unit-5 Double and triple integrals, volumes and surfaces of solids of revolution, Dirichlet's integrals, change of order of integration in double integrals.
