An Introduction to Multivariable Analysis from Vector to Manifold:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2002
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 the intuitions that served so well in dimension I grow weak, even useless, as one moves into the alien territory of dimension N. Worse yet, the very useful machinery of differential forms on manifolds presents particular difficulties; as one reviewer noted, it seems as though the more precisely one presents this machinery, the harder it is to understand |
| Beschreibung: | 1 Online-Ressource (X, 295 p) |
| ISBN: | 9781461200734 9781461266006 |
| DOI: | 10.1007/978-1-4612-0073-4 |
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Datensatz im Suchindex
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| indexdate | 2024-07-10T01:21:04Z |
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| isbn | 9781461200734 9781461266006 |
| language | English |
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| spelling | Mikusiński, Piotr Verfasser aut An Introduction to Multivariable Analysis from Vector to Manifold by Piotr Mikusiński, Michael D. Taylor Boston, MA Birkhäuser Boston 2002 1 Online-Ressource (X, 295 p) txt rdacontent c rdamedia cr rdacarrier 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 the intuitions that served so well in dimension I grow weak, even useless, as one moves into the alien territory of dimension N. Worse yet, the very useful machinery of differential forms on manifolds presents particular difficulties; as one reviewer noted, it seems as though the more precisely one presents this machinery, the harder it is to understand Mathematics Global analysis (Mathematics) Differential equations, partial Global differential geometry Analysis Several Complex Variables and Analytic Spaces Applications of Mathematics Differential Geometry Mathematik Analysis (DE-588)4001865-9 gnd rswk-swf Vektoranalysis (DE-588)4191992-0 gnd rswk-swf Globale Analysis (DE-588)4021285-3 gnd rswk-swf Mehrere Variable (DE-588)4277015-4 gnd rswk-swf Analysis (DE-588)4001865-9 s Mehrere Variable (DE-588)4277015-4 s 1\p DE-604 Globale Analysis (DE-588)4021285-3 s 2\p DE-604 Vektoranalysis (DE-588)4191992-0 s 3\p DE-604 Taylor, Michael D. Sonstige oth https://doi.org/10.1007/978-1-4612-0073-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Mikusiński, Piotr An Introduction to Multivariable Analysis from Vector to Manifold Mathematics Global analysis (Mathematics) Differential equations, partial Global differential geometry Analysis Several Complex Variables and Analytic Spaces Applications of Mathematics Differential Geometry Mathematik Analysis (DE-588)4001865-9 gnd Vektoranalysis (DE-588)4191992-0 gnd Globale Analysis (DE-588)4021285-3 gnd Mehrere Variable (DE-588)4277015-4 gnd |
| subject_GND | (DE-588)4001865-9 (DE-588)4191992-0 (DE-588)4021285-3 (DE-588)4277015-4 |
| title | An Introduction to Multivariable Analysis from Vector to Manifold |
| title_auth | An Introduction to Multivariable Analysis from Vector to Manifold |
| title_exact_search | An Introduction to Multivariable Analysis from Vector to Manifold |
| title_full | An Introduction to Multivariable Analysis from Vector to Manifold by Piotr Mikusiński, Michael D. Taylor |
| title_fullStr | An Introduction to Multivariable Analysis from Vector to Manifold by Piotr Mikusiński, Michael D. Taylor |
| title_full_unstemmed | An Introduction to Multivariable Analysis from Vector to Manifold by Piotr Mikusiński, Michael D. Taylor |
| title_short | An Introduction to Multivariable Analysis from Vector to Manifold |
| title_sort | an introduction to multivariable analysis from vector to manifold |
| topic | Mathematics Global analysis (Mathematics) Differential equations, partial Global differential geometry Analysis Several Complex Variables and Analytic Spaces Applications of Mathematics Differential Geometry Mathematik Analysis (DE-588)4001865-9 gnd Vektoranalysis (DE-588)4191992-0 gnd Globale Analysis (DE-588)4021285-3 gnd Mehrere Variable (DE-588)4277015-4 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Differential equations, partial Global differential geometry Analysis Several Complex Variables and Analytic Spaces Applications of Mathematics Differential Geometry Mathematik Vektoranalysis Globale Analysis Mehrere Variable |
| url | https://doi.org/10.1007/978-1-4612-0073-4 |
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