Название: Krishna's BSc. Obj. Numerical Analysis & Programming in C
Автор: Manoj Garg, Mradul Dixit
Издательство: Krishna Prakashan Media Pvt Ltd
Год: 2021
Страниц: 188
Язык: английский
Формат: pdf (true)
Размер: 10.1 MB

C is a general purpose structured programming language that has much in common with the part of high level language. It contains certain addition features that allow it to be used at a lower level. C is free style language. Its main draw back is that it has poor error detection which can make it off putting to the beginner. The programmer written in C are portable. C is a small language consisting of only 32 English words called keywords and extadible to the users.

Contents:

Numerical Analysis
Unit 1
Shift operator, Forward and backward difference operators and their relationships, Fundamental theorem of
difference calculus, Interpolation, Newton-Gregory’s forward and backward interpolation formulae.
Unit 2
Divided differences, Newton’s divided difference formula, Lagrange’s interpolation formula, Central differences,
Formulae based on central differences : Gauss, Striling’s, Bessel’s and Everett’s interpolation formulae, Numerical
differentiation.
Unit 3
Numerical integration, General quadrature formula, Trapezoidal and Simpson’s rules, Weddle’s rule, Cote’s
formula, Numerical solution of first order differential equations : Euler’s method, Picard’s method, Runge-Kutta
method and Milne’s method, Numerical solution of linear, homogeneous and simultaneous difference equations,
Generating function method.
Unit 4
Solution of transcendental and polynomial equations by iteration, bisection, Regula-Falsi and Newton-Raphson
methods, Algebraic eigen value problems : Power method, Jacobi’s method, Given’s method, Householder’s
method and Q-R method, Approximation : Different types of approximations, Least square polynomial
approximation, Polynomial approximation using orthogonal polynomials, Legendre approximation,
Approximation with trigonometric functions, exponential functions, rational functions, Chebyshev polynomials.

Programming in C
Unit 5
Programmer’s model of computer, Algorithms, Data type, Arithmetic and input/out instruction, Decisions, Control
structures, Decision statements, Logical and conditional operators, Loop case control structures, Functions,
Recursion, Preprocessors, Arrays, Puppetting of strings Structures, Pointers, File formatting.