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Titlebook: Mathematics as a Tool; Tracing New Roles of Johannes Lenhard,Martin Carrier Book 2017 Springer International Publishing AG 2017 Scientific

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发表于 2025-3-21 16:23:28 | 显示全部楼层 |阅读模式
书目名称Mathematics as a Tool
副标题Tracing New Roles of
编辑Johannes Lenhard,Martin Carrier
视频video
概述Shows another level in which the sciences, engineering, and mathematics are intertwined.Combines historical and philosophical accounts with a strong emphasis on practices.Covers material from ancient
丛书名称Boston Studies in the Philosophy and History of Science
图书封面Titlebook: Mathematics as a Tool; Tracing New Roles of Johannes Lenhard,Martin Carrier Book 2017 Springer International Publishing AG 2017 Scientific
描述.This book puts forward a new role for mathematics in the natural sciences. In the traditional understanding, a strong viewpoint is advocated, on the one hand, according to which mathematics is used for truthfully expressing laws of nature and thus for rendering the rational structure of the world. In a weaker understanding, many deny that these fundamental laws are of an essentially mathematical character, and suggest that mathematics is merely a convenient tool for systematizing observational knowledge. .The position developed in this volume combines features of both the strong and the weak viewpoint. In accordance with the former, mathematics is assigned an active and even shaping role in the sciences, but at the same time, employing mathematics as a tool is taken to be independent from the possible mathematical structure of the objects under consideration. Hence the tool perspective is .contextual. rather than ontological. Furthermore, tool-use has to respect conditions like suitability, efficacy, optimality, and others. There is a spectrum of means that will normally differ in how well they serve particular purposes. The tool perspective underlines the inevitably .provisional.
出版日期Book 2017
关键词Scientific Practice; Mathematical instrument; Computer Modelling; Mathematical practice; Simulation; Math
版次1
doihttps://doi.org/10.1007/978-3-319-54469-4
isbn_softcover978-3-319-85400-7
isbn_ebook978-3-319-54469-4Series ISSN 0068-0346 Series E-ISSN 2214-7942
issn_series 0068-0346
copyrightSpringer International Publishing AG 2017
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发表于 2025-3-21 22:23:59 | 显示全部楼层
Johannes Lenhard,Martin Carriern Kinetic Theory.- P.L.Lions: Global Solutions of Kinetic Models and RelatedProblems.- P.A. Markowich: KineticModels forSemiconductors.- S.R.S. Varadhan: Entropy MethodsinHydrodynamic Scaling.978-3-540-56945-9978-3-540-47832-4Series ISSN 0075-8434 Series E-ISSN 1617-9692
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Ann Johnsonn Kinetic Theory.- P.L.Lions: Global Solutions of Kinetic Models and RelatedProblems.- P.A. Markowich: KineticModels forSemiconductors.- S.R.S. Varadhan: Entropy MethodsinHydrodynamic Scaling.978-3-540-56945-9978-3-540-47832-4Series ISSN 0075-8434 Series E-ISSN 1617-9692
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发表于 2025-3-22 16:54:09 | 显示全部楼层
Ido Yavetzmethod was later developed further by Grad [2], in particular, for the Boltzmann equation. The Chapman—Enskog method and the moment method give rise to identical linear transport coefficients although higher order results are not necessarily the same. The linear transport coefficients so calculated
发表于 2025-3-22 20:58:48 | 显示全部楼层
Henrik Kragh Sørensenynamic variables and the statistical mechanical mean values for the variables, all the statistical mechanical mean values are expressible in terms of the canonical partition function, and it is possible to implement equilibrium statistical thermodynamics by means of the distribution function alone,
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发表于 2025-3-23 02:32:31 | 显示全部楼层
Hans Hasse,Johannes Lenhardd generated a potential step at each NS interface, and thus produced an additional boundary resistance. However, the first quantitative understanding of charge imbalance arose from experiments in which electrons were injected via a tunnel junction into a superconducting film (Clarke 1972); at the ti
发表于 2025-3-23 05:43:14 | 显示全部楼层
Miles MacLeodn transport coefficients which are explicitly determined by considering the so-called first Sonine approximation. As an application of the previous results, thermal diffusion segregation of an intruder immersed in a granular suspension is analyzed and compared with previous theoretical attempts wher
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