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Titlebook: Mathematical Modeling; Christof Eck,Harald Garcke,Peter Knabner Textbook 2017 Springer International Publishing AG 2017 Differential Equat

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发表于 2025-3-21 19:48:22 | 显示全部楼层 |阅读模式
书目名称Mathematical Modeling
编辑Christof Eck,Harald Garcke,Peter Knabner
视频video
概述Provides a well-structured introduction to the modeling process using mathematical structures as ordering principle.Contains a wealth of examples from applications in the natural and engineering scien
丛书名称Springer Undergraduate Mathematics Series
图书封面Titlebook: Mathematical Modeling;  Christof Eck,Harald Garcke,Peter Knabner Textbook 2017 Springer International Publishing AG 2017 Differential Equat
描述.Mathematical models are the decisive tool to explain and predict phenomena in the natural and engineering sciences. With this book readers will learn to derive mathematical models which help to understand real world phenomena. At the same time a wealth of important examples for the abstract concepts treated in the curriculum of mathematics degrees are given. An essential feature of this book is that mathematical structures are used as an ordering principle and not the fields of application.. .Methods from linear algebra, analysis and the theory of ordinary and partial differential equations are thoroughly introduced and applied in the modeling process. Examples of applications in the fields electrical networks, chemical reaction dynamics, population dynamics, fluid dynamics, elasticity theory and crystal growth are treated comprehensively..
出版日期Textbook 2017
关键词Differential Equations; Continuum Mechanics; Mathematical Modeling; Free Boundary Problems; Thermodynami
版次1
doihttps://doi.org/10.1007/978-3-319-55161-6
isbn_softcover978-3-319-55160-9
isbn_ebook978-3-319-55161-6Series ISSN 1615-2085 Series E-ISSN 2197-4144
issn_series 1615-2085
copyrightSpringer International Publishing AG 2017
The information of publication is updating

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Continuum Mechanics,angular momentum in their pointwise form are systematically derived. It is demonstrated how the second law of thermodynamics, the principle of frame difference and symmetries restrict the form of constitutive relations. Finally, several examples for concrete theories are given.
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Christof Eck,Harald Garcke,Peter KnabnerProvides a well-structured introduction to the modeling process using mathematical structures as ordering principle.Contains a wealth of examples from applications in the natural and engineering scien
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