Titlebook: Numerical Analysis; Ian Jacques,Colin Judd Book 1987 I. Jacques and C.J. Judd 1987 numerical analysis

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Numerical differentiation and integration,n ., known either explicitly or as a set of data points, is replaced by a simpler function. A polynomial . is the obvious choice of approximating function, since the operations of differentiation and integration are then easily performed.

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Ordinary differential equations: initial value problems,n function of two real variables and . is an unknown function of the independent variable .. The general solution of (7.1) contains an arbitrary constant. In order to determine the solution uniquely, it is necessary to impose an additional condition on .. This usually takes the form . for given numb

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ow the worked examples and to tackle the exercises accompanying each section. Familiarity with the basic results of analysis and linear algebra is assumed since these are normally taught in first courses on mathematical methods. For reference purposes a list of theorems used in the text is given in the appendix.978-94-010-7919-8978-94-009-3157-2

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Linear algebraic equations,Many important problems in science and engineering require the solution of systems of simultaneous linear equations of the form . where the coefficients . and the right hand sides . are given numbers, and the quantities . are the unknowns which need to be determined.

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Introduction,thods have been mainly used to solve problems in the physical sciences and engineering. However, they are finding increasing relevance in a much broader range of subjects including economics and business studies.