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Titlebook: An Introduction to Multivariable Analysis from Vector to Manifold; Piotr Mikusiński,Michael D. Taylor Textbook 2002 Springer Science+Busin

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发表于 2025-3-21 18:06:17 | 显示全部楼层 |阅读模式
期刊全称An Introduction to Multivariable Analysis from Vector to Manifold
影响因子2023Piotr Mikusiński,Michael D. Taylor
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图书封面Titlebook: An Introduction to Multivariable Analysis from Vector to Manifold;  Piotr Mikusiński,Michael D. Taylor Textbook 2002 Springer Science+Busin
影响因子Multivariable analysis is an important subject for mathematicians, both pure and applied. Apart from mathematicians, we expect that physicists, mechanical engi­ neers, electrical engineers, systems engineers, mathematical biologists, mathemati­ cal economists, and statisticians engaged in multivariate analysis will find this book extremely useful. The material presented in this work is fundamental for studies in differential geometry and for analysis in N dimensions and on manifolds. It is also of interest to anyone working in the areas of general relativity, dynamical systems, fluid mechanics, electromagnetic phenomena, plasma dynamics, control theory, and optimization, to name only several. An earlier work entitled An Introduction to Analysis: from Number to Integral by Jan and Piotr Mikusinski was devoted to analyzing functions of a single variable. As indicated by the title, this present book concentrates on multivariable analysis and is completely self-contained. Our motivation and approach to this useful subject are discussed below. A careful study of analysis is difficult enough for the average student; that of multi variable analysis is an even greater challenge. Somehow th
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Vector Analysis on Manifolds,amiliär with the classical theorems of vector analysis, Green’s theorem, Gauss’ divergence theorem, and Stokes’ theorem. He or she perhaps knows something of their importance in such fields as fluid mechanics and electromagnetism.
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Zusammenfassung der Untersuchungsergebnisseamiliär with the classical theorems of vector analysis, Green’s theorem, Gauss’ divergence theorem, and Stokes’ theorem. He or she perhaps knows something of their importance in such fields as fluid mechanics and electromagnetism.
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