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Titlebook: Basic Numerical Mathematics; Vol. 1: Numerical An John Todd Book 1979 Birkhäuser Verlag, Basel 1979 Calc.Volume.addition.approximation.boun

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期刊全称Basic Numerical Mathematics
期刊简称Vol. 1: Numerical An
影响因子2023John Todd
视频video
学科分类International Series of Numerical Mathematics
图书封面Titlebook: Basic Numerical Mathematics; Vol. 1: Numerical An John Todd Book 1979 Birkhäuser Verlag, Basel 1979 Calc.Volume.addition.approximation.boun
影响因子There is no doubt nowadays that numerical mathematics is an essential component of any educational program. It is probably more efficient to present such material after a strong grasp of (at least) linear algebra and calculus has already been attained -but at this stage those not specializing in numerical mathematics are often interested in getting more deeply into their chosen field than in developing skills for later use. An alternative approach is to incorporate the numerical aspects of linear algebra and calculus as these subjects are being developed. Long experience has persuaded us that a third attack on this problem is the best and this is developed in the present two volumes, which are, however, easily adaptable to other circumstances. The approach we prefer is to treat the numerical aspects separately, but after some theoretical background. This is often desirable because of the shortage of persons qualified to present the combined approach and also because the numerical approach provides an often welcome change which, however, in addition, can lead to better appreciation of the fundamental concepts. For instance, in a 6-quarter course in Calculus and Linear Algebra, the m
Pindex Book 1979
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Orders of Magnitude and Rates of Convergence, the same order (of magnitude) as”, “of smaller order than”. Calculations using these symbols correctly are useful preliminaries to numerical work but, we shall see, can be misleading if not interpreted properly.
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Recurrence Relations for Powers,shall discuss various sequences . whose limit is the solution sought and whose terms are defined by recurrence relations, usually of the form . where . is a polynomial, or the ratio of two polynomials. We shall be interested mainly in the relative rates of convergence of the sequences. In Chapter 4
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The Acceleration Processes of Aitken and Euler,on the fastest computer. This is the case of the logarithmic series . in which a crude estimate for the remainder after . terms is . so that 2 × 10. terms would be needed to get a value of log 2 correct to 6D.
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https://doi.org/10.1007/978-3-8349-8164-6. is a polynomial, or the ratio of two polynomials. We shall be interested mainly in the relative rates of convergence of the sequences. In Chapter 4 we shall discuss the general equation . and Newton’s Method, discussed there in general terms, provides a single source for the schemes studied in this chapter.
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0373-3149 ch, however, in addition, can lead to better appreciation of the fundamental concepts. For instance, in a 6-quarter course in Calculus and Linear Algebra, the m978-3-0348-7231-7978-3-0348-7229-4Series ISSN 0373-3149 Series E-ISSN 2296-6072
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