Advanced Calculus and Partial Differential Equations

Name : Advanced Calculus and Partial Differential Equations

Author : THAKUR.KISHAN,UJJAINKAR,GUPTA

Book Format : Paperback

Genre : Higher Education Textbooks

ISBN : 9788195625154

Language : English

Pages : 501-600 Pages

Publish Year : 2022

Publisher : RAM PRASAD PUBLICATIONS

Sub Genre : Mathematics Textbooks

as per nep Unit-I 0.Historical Background....i-iii 1.Field Structure and Ordered Structure of R, Intervals, Bounded and unbounded sets, Supremum and infimum, Completeness in R, Absolute value of a real Number....1-33 2.Sequence of Real Numbers, Limit of a Sequence, Bounded and Monotonic Sequences, Cauchy’s General Principle of Convergence, Algebra of Sequence and Some Important Theorems....34-80 Unit-II 3.Series of non-negative terms, Convergence of positive term series....81-146 4.Alternating Series and Leibrintr’s test, Absolute and conditional convergence of Series of real Terms....147-163 5.Uniform Continuity....164-185 6.Chain Rule of Differentiability....186-202 7.Mean Value Theorems and Their Geometrical Interpretations....203-228 Unit-III 8.Limit and continuity of functions of two variables....229-256 9.Change of Variables....257-280 10.Euler’s Theorem on Homogeneous Functions....281-294 11.Taylor’s Theorem For functions of two Variables....295-307 12.Jacobians....308-337 13.Maxima and Minima of Functions of Two Variables....338-354 14.Lagrange’s Multipliers Method....355-367 15.Beta and Gamma Functions....368-395 Unit-IV 16.Partial Differential Equations of The first order....396-415 17.Lagrange’s Solution....416-440 18.Some Special types of equations which can be solved easily by methods other than the general method....441-462 19.Charpit’s General Method....463-474 2

Country of Origin : India