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WHAT IS NUMEJCAL ANALYSIS ? THE COLLOCATIONPOLYNOMIAL FINITE DIFFERENCES FACTORIAL POLYNAOMIALS SUMMATION THE NEWTON FORMULA OPERATORS AND COLLOCATION POLYNOMIALS UNEQUALLY-SPACD ARGUMENTS DIVIDED DIFFERENCES OSCULATING POLYNOMIALS THE TAYLOR POLYNOMIAL INTERPOLATION AND PREDICTION INTERPOLATION AND PREDICTION NUMERICAL INTEGRATION GAUSSIAN INTEGRATION SINGULAR INTEGRALS SUMS AND SERIES DIFFERENCE EQUATIONS DIFFERENTIAL EQUATIONS DIFFERENTIAL PROBLEMS OF HIGHER ORDER LEAST-SQUATES POLYNOMIAL APPROXIMATION MIN-MAX POLYNOMIAL APPROXIMATION APPROXIMATION BY RATIONAL FUNCTIONS TRIGONOMETRIC APPROXIMATION NONLINEAR ALGEBRA LINEAR SYSTEMS LINEAR PROGRAMMING OVERDETERMINED SYSTEMS BOUNDARY VALUE PROBLEMS MONTE CARLO METHODS ANSWERS TO SUPPLEMENTARY PROBLEMS |