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OverviewDas Buch bietet eine moderne Darstellung der Differential- und Integralrechnung für Funktionen in einer und mehreren reellen Veränderlichen sowie in einer komplexen Variablen. Die elementaren Funktionen werden über komplexe Potenzreihen definiert und die Logarithmusfunktion auf ihrer Riemannschen Fläche betrachtet. Nachdem die eindimensionale Integration mittels reeller und komplexer Stammfunktionen durchgeführt ist, wird über das uneigentliche n-dimensionale Riemannsche Integral die Integration auf Mannigfaltigkeiten mit Hilfe von Differentialformen vorgestellt. Mit dem Lebesgueschen Integral und dessen Maßtheorie werden die Banachräume p-fach integrierbarer Funktionen eingeführt. Es werden für gewöhnliche Differentialgleichungen systematisch Existenz-, Eindeutigkeits- und Stabilitätsfragen behandelt. In einem Kapitel zur Variationsrechnung wird direkt über die Untersuchung von Geodätischen der Riemannsche Raum und sein Krümmungsbegriff vorgestellt. Full Product DetailsAuthor: Friedrich SauvignyPublisher: Springer Fachmedien Wiesbaden Imprint: Springer Spektrum Edition: 2014 ed. Dimensions: Width: 16.80cm , Height: 2.70cm , Length: 24.00cm Weight: 0.886kg ISBN: 9783642415067ISBN 10: 3642415067 Pages: 512 Publication Date: 10 December 2013 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In stock  We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Language: German Table of ContentsDas System der reellen und komplexen Zahlen.- Differential- und Integralrechnung in einer Veränderlichen.- Die elementaren Funktionen als Potenzreihen.- Partielle Differentiation und differenzierbare Mannigfaltigkeiten im Rn .- Riemannsches Integral im Rn mit Approximations- und Integralsätzen.- Gewöhnliche Differentialgleichungen.- Eindimensionale Variationsrechnung.- Maß- und Integrationstheorie.- Literaturverzeichnis.- Sachverzeichnis.ReviewsFrom the book reviews: The textbook provides a comprehensive overview of the foundations of mathematical analysis. Primarily intended for students of mathematics at universities, it may also be used by students of non-mathematical fields using mathematics. The problems to solve at the end of each chapter are valuable parts of the textbook. the reader will be rewarded by obtaining a very good overview of the basic methods and results of mathematical analysis. (Josef Diblik, zbMATH, Vol. 1296, 2014) From the book reviews: The textbook provides a comprehensive overview of the foundations of mathematical analysis. Primarily intended for students of mathematics at universities, it may also be used by students of non-mathematical fields using mathematics. The problems to solve at the end of each chapter are valuable parts of the textbook. the reader will be rewarded by obtaining a very good overview of the basic methods and results of mathematical analysis. (Josef Diblik, zbMATH, Vol. 1296, 2014) From the book reviews: The textbook provides a comprehensive overview of the foundations of mathematical analysis. Primarily intended for students of mathematics at universities, it may also be used by students of non-mathematical fields using mathematics. The problems to solve at the end of each chapter are valuable parts of the textbook. the reader will be rewarded by obtaining a very good overview of the basic methods and results of mathematical analysis. (Josef Diblik, zbMATH, Vol. 1296, 2014) From the book reviews: The textbook provides a comprehensive overview of the foundations of mathematical analysis. Primarily intended for students of mathematics at universities, it may also be used by students of non-mathematical fields using mathematics. ... The problems to solve at the end of each chapter are valuable parts of the textbook. ... the reader will be rewarded by obtaining a very good overview of the basic methods and results of mathematical analysis. (Josef Dibl�k, zbMATH, Vol. 1296, 2014) From the book reviews: The textbook provides a comprehensive overview of the foundations of mathematical analysis. Primarily intended for students of mathematics at universities, it may also be used by students of non-mathematical fields using mathematics. The problems to solve at the end of each chapter are valuable parts of the textbook. the reader will be rewarded by obtaining a very good overview of the basic methods and results of mathematical analysis. (Josef Diblik, zbMATH, Vol. 1296, 2014) From the book reviews: The textbook provides a comprehensive overview of the foundations of mathematical analysis. Primarily intended for students of mathematics at universities, it may also be used by students of non-mathematical fields using mathematics. The problems to solve at the end of each chapter are valuable parts of the textbook. the reader will be rewarded by obtaining a very good overview of the basic methods and results of mathematical analysis. (Josef Diblik, zbMATH, Vol. 1296, 2014) Author InformationProf. Dr. Friedrich Sauvigny, Lehrstuhl Mathematik, insbesondere Analysis der Brandenburgische Technische Universität Cottbus - Senftenberg Tab Content 6Author Website:Countries AvailableAll regions |
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