ADVANCED CALCULUS & PARTIAL DIFFERENTIAL EQUATION - (IN HINDI)

Name : ADVANCED CALCULUS & PARTIAL DIFFERENTIAL EQUATION - (IN HINDI)

Author : THAKUR,KISHAN,UJJAINKAR,GUPTA

Book Format : Paperback

Genre : Higher Education Textbooks

ISBN : 9788195625147

Language : Hindi

Pages : 501-600 Pages

Publish Year : 2022

Publisher : RAM PRASAD PUBLICATIONS

Sub Genre : Mathematics Textbooks

–Unit-I– 1.1Historical background : 1.1.1A brief historical background of Calculus and partial differential equations in the context of India and Indian heritage and culture 1.1.2Abrief biography of Bodhayana 1.2Field structure and ordered structure of R, Intervals, Bounded and Unbounded sets, Supremum and Infimum, Completeness in R, Absolute value of a real number. 1.3Sequence of real numbers 1.4Limit of a sequence 1.5Bounded and Monotonic sequences 1.6Cauchy’s general principle of convergence 1.7Algebra of sequence and some important theorems –Unit-II– 2.1Series of non-negative terms 2.2Convergence of positive term series 2.3Alternating series and Leibnitz’s test 2.4Absolute and Conditional Convergence of Series of real terms 2.5Uniform continuity 2.6Chain rule of differentiability 2.7Mean value theorems and their geometrical interpretations –Unit-III– 3.1Limit and Continuity of functions of two variables 3.2Change of variables 3.3Euler’s theorem on homogeneous functions 3.4Taylor’s theorem for function of two variables 3.5Jacobians 3.6Maxima and Minima of functions of two variables 3.7Lagrange’s multiplier method 3.8Beta and Gamma Functions –Unit-IV– 4.1Partial differential equations of the first order 4.2Lagrange’s solution 4.3Some special types of equations which can be solved easily by methods other than the general method 4.4Charpit’s general method 4.5Partial differenti

Country of Origin : India