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Titlebook: Numerical Mathematics; Günther Hämmerlin,Karl-Heinz Hoffman Textbook 19911st edition Springer-Verlag New York Inc. 1991 Algebra.Approximat

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Integration,hich in turn led to a study of the number π and its computation. Using a numerical method involving the approximation of a circle by inscribed and circumscribed polygons, Archimedes (287–212 B.C.) was able to give the astonishingly good bounds .. For more on this, see Chap. 5 of the book . by H.-D. Ebbinghaus, et.al. [1990].
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Interpolation,tive theory of functions, and moreover, provide the basis for a wide variety of methods for numerical integration, numerical treatment of differential equations, and the discretization of general operator equations.
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Linear Systems of Equations,the iteration has to be stopped at some point. Although in this case we have both method and roundoff errors, iterative methods have their advantages. In this chapter we will primarily discuss direct methods. Iterative methods for linear system of equations will be discussed in Chapter 8.
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Computing, . numbers is needed. This in turn implies that for complicated algorithms, there may be an accumulation of errors, and hence it is essential to have a way of performing an . of our methods. In this connection there are several different kinds of error types, which in addition to the . mentioned above, include . and ..
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