Higher Engineering Mathematics 3 by NP Bali
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NP BALI Engineering Mathematics 9th Edition
NP BALI Engineering Mathematics 3 and 4 Sem.(Btech 2nd year)
A TEXTBOOK OF ENGINEERING MATHEMATICS N P BALI AND DR MANISH GOYAL PDF BOOK DETAILS AND INFORMATION
|Title||A Textbook of Engineering Mathematics|
|Publication||University Science Press|
|Author||N P Bali And Dr Manish Goyal|
|Pdf Size||16 mb|
Fourier series: Euler’s formulae, Orthogonality conditions for the Sine and Cosine functions, Dirichlet’s conditions, Fourier expansion of functions having points of discontinuity, Change of the interval, Odd and even functions, Half-range series. Fourier Transforms: Fourier integrals, Fourier transforms, Fourier Cosine and Sine transforms, Properties of Fourier transforms, Convolution theorem, Parseval’s identity, Fourier transforms of the derivative of a function, Application of transforms to boundary value problems (Heat conduction and vibrating string). UNIT-II Solution of linear programming problems: using Graphical and Simplex methods.
UNIT-III Theory of Complex Variables: A review of the concept of functions of a complex variable, Limit, continuity, differentiability, and analyticity of a function. Basic elementary complex functions (exponential functions, trigonometric & Hyperbolic functions, logarithmic functions) Cauchy-Riemann Equations. Line integral in the complex plane, the definition of the complex line integral, basic properties, Cauchy’s integral theorem, and Cauchy’s integral formula, brief of Taylor’s, Laurent’s, and Residue theorems (without proofs).
Probability theory: A review of concepts of probability and random variables: definitions of probability, addition rule, conditional probability, multiplication rule, Conditional Probability, Mean, median, mode and standard deviation, Bayes’ Theorem, Discrete and continuous random variables, probability mass, probability density and cumulative distribution functions, mathematical expectation, moments, moment generating function. Standard Distributions: Binomial, Poisson, and Normal distribution.