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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Geometrie An Introduction to Multivariable Analysis from Vector to Manifold
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An Introduction to Multivariable Analysis from Vector to Manifold
Piotr Mikusinski, Michael D. Taylor (Broschiert, Englisch)
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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. 53,49 €
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Technische Daten
Erscheinungsdatum
23.10.2012
Sprache
Englisch
EAN
9781461266006
Herausgeber
Birkhäuser Boston
Sonderedition
Nein
Autor
Piotr Mikusinski, Michael D. Taylor
Seitenanzahl
295
Einbandart
Broschiert
Schlagwörter
Mathematica, applied mathematics, calculus, differential geometry, ksa, measure theory, multivariable analysis, theoretical physics
Thema-Inhalt
PBM - Geometrie
PBK - Mathematische Analysis, allgemein
PBKD - Komplexe Analysis, komplexe Variablen, Funktionentheorie
PBW - Angewandte Mathematik
PBMP - Differentielle und Riemannsche Geometrie
Höhe
235 mm
Breite
15.5 cm
Hersteller: Birkhäuser, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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