Krishna's BSc. Obj. Numerical Analysis & Programming in CКНИГИ » НАУКА И УЧЕБА
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.
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