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Description of  TB Numerical Methods , Edition-7th

SYLLABUS- NUMERICAL METHODS, Unit-1 Roots of Equations: Bisections Method, False Position Method, Newton's Raphson Method, Rate of convergence of Newton's method. Unit-2 Interpolation and Extrapolation: Finite Differences, The operator E, Newton's Forward and Backward Differences, Newton's divided differences formulae, Lagrange's Interpolation formula for unequal Intervals, Gauss's Interpolation formula, Starling formula, Bessel's formula, Laplace- Everett formula. Unit-3 Numerical Differentiation Numerical Integration: Introduction, direct methods, maxima and minima of a tabulated function, General Quadratic formula, Trapezoidal rule, Simpson's One third rule, Simpson's three- eight rule. Unit-4 Solution of Linear Equation: Gauss's Elimination method and Gauss's Siedel iterative method. Unit-5 Solution of Differential Equations: Euler's method, Picard's method, Fourth-order Runge-Kutta method.