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WHY IS NUMERICAL ANALYSIS NECESSARY?:
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FLOATING POINT ARITHMETIC:
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LINEAR ALGEBRA:
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NORMS AND INNER PRODUCTS:
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LINEAR SYSTEMS/MATRIX DECOMPOSITION THEOREMS:
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POLYNOMIAL INTERPOLATION:
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CUBIC SPLINES (an elementary approach):
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B-SPLINES (Carl deBoor):
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PIECEWISE HERMIT CUBICS:
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FIXED POINTS and ZEROS of NONLINEAR FUNCTIONS:
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ORTHOGONAL POLYNOMIALS:
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NUMERICAL INTEGRATION (QUADRATURE):
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LEAST SQUARES APPROXIMATION:
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NUMERICAL DIFFERENTIATION:
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ORDINARY DIFFERENTIAL EQUATIONS:
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