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Numerical Mathematics

Contents

--------------->>> Number Theory <<<--------------- Systems (decimal, binary, octal, hexadecimal) Conversion and operation --------------->>> Root Finding <<<--------------- Bisection, Newton's and Secant methods Taylor and Tchebychev polynomials --------------->>> Finite Element and Difference <<<--------------- Forward, backward, central, sheft and mean operators Vectors, parameters and division Terr analysis --------------->>> Generalized Power <<<--------------- Power product and difference Divided difference --------------->>> Interpolations <<<--------------- Newton's interpolation formula (equally and unequally spaced) Gaussian interpolation formula Solution of homogeneous linear equations (first and high order) Bassage method of linear 2nd order equation Lagrange interpolation formula SPLine --------------->>> Non-linear System of Equations <<<--------------- Solution by Newton-Jacobean method Approximated iteration method --------------->>> Numerical Integration Methods <<<--------------- Pascal steps Simpson and Romberg methods Sequences (T, S, C, D, E) --------------->>> Solution of Differential Equations <<<--------------- Trapisoidal, Heun and Simpson rules Rung-Kutta method (1st, 2nd methods 4-equation, 5-equation) Gill, Merson, England, Hamming-predictor/corrector methods