[PDF] NP BALI Higher Engineering Mathematics 3 Book Free Download

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[PDF] NP BALI Higher Engineering Mathematics 3 Book Free Download

Higher Engineering Mathematics 3 by NP Bali
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File Size :- 28MB
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Fourier series: Euler’s formulae, Orthogonality conditions for the Sine and
Cosine funtions, Dirichlet’s conditions, Fourier expansion of functions having
points of discontinuity, Change of 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 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 complex plane, 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.

Contents

Chapter 1: Fourier Series
Chapter 2 :Fourier Transform
Chapter 3 :Functions Of Complex Variables
Chapter 4: Probability Distribution
Chapter 5: Linear Programming(Graphical Method,Simplex Method)
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