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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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书目名称Numerical Mathematics
编辑Günther Hämmerlin,Karl-Heinz Hoffman
视频video
丛书名称Undergraduate Texts in Mathematics
图书封面Titlebook: Numerical Mathematics;  Günther Hämmerlin,Karl-Heinz Hoffman Textbook 19911st edition Springer-Verlag New York Inc. 1991 Algebra.Approximat
描述"In truth, it is not knowledge, but learning, not possessing, but production, not being there, but travelling there, which provides the greatest pleasure. When I have completely understood something, then I turn away and move on into the dark; indeed, so curious is the insatiable man, that when he has completed one house, rather than living in it peacefully, he starts to build another. " Letter from C. F. Gauss to W. Bolyai on Sept. 2, 1808 This textbook adds a book devoted to applied mathematics to the series "Grundwissen Mathematik. " Our goals, like those of the other books in the series, are to explain connections and common viewpoints between various mathematical areas, to emphasize the motivation for studying certain prob­ lem areas, and to present the historical development of our subject. Our aim in this book is to discuss some of the central problems which arise in applications of mathematics, to develop constructive methods for the numerical solution of these problems, and to study the associated questions of accuracy. In doing so, we also present some theoretical results needed for our development, especially when they involve material which is beyond the scope of the us
出版日期Textbook 19911st edition
关键词Algebra; Approximation; Splines; algorithms; boundary element method; calculus; complexity; eigenvalue; inte
版次1
doihttps://doi.org/10.1007/978-1-4612-4442-4
isbn_softcover978-0-387-97494-1
isbn_ebook978-1-4612-4442-4Series ISSN 0172-6056 Series E-ISSN 2197-5604
issn_series 0172-6056
copyrightSpringer-Verlag New York Inc. 1991
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发表于 2025-3-21 23:10:23 | 显示全部楼层
Linear Systems of Equations,ge linear systems. Thus, the development of efficient algorithms to solve such systems is of central importance in numerical analysis. We differentiate between two types of methods. . solve the problem in a finite number of steps, and so are not subject to method error, although, of course, the resu
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Interpolation,approximation, but the subject deserves a separate and detailed treatment. The results of the theory of interpolation are a basic part of the constructive theory of functions, and moreover, provide the basis for a wide variety of methods for numerical integration, numerical treatment of differential
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Splines,choenberg [1946], although these kinds of functions had been used earlier by several other authors. For example, the Euler method for constructing a piecewise polynomial approximation to the solution of an initial-value problem for ordinary differential equations (and which is often used to establis
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Integration, the area of regions bounded by curved lines, has been around for thousands of years, long before the concept of integrals in the framework of analysis was developed in the 17th and 18th century. Certainly the best-known example of this problem was that of computing the area contained in a circle, w
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Undergraduate Texts in Mathematicshttp://image.papertrans.cn/n/image/669021.jpg
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https://doi.org/10.1007/978-1-4612-4442-4Algebra; Approximation; Splines; algorithms; boundary element method; calculus; complexity; eigenvalue; inte
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