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Analysis in historischer Entwicklung

Author: Ernst Hairer; Gerhard Wanner
Publisher: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011.
Series: Springer-Lehrbuch
Edition/Format:   eBook : Document : GermanView all editions and formats
Publication:Analysis in historischer Entwicklung.
Summary:
Diese Einführung in die Analysis orientiert sich in ihrem Aufbau an der zeitlichen Entwicklung der Themen. Die ersten zwei Kapitel schlagen den Bogen von historischen Berechnungsmethoden praktischer Problemen hin zu unendlichen Reihen, Differential- und Integralrechnung und zu Differentialgleichungen. Das Etablieren einer mathematisch stringenten Denkhaltung im 19. Jahrhundert für Analysis ein und mehrerer  Read more...
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Genre/Form: History
Lehrbuch
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Ernst Hairer; Gerhard Wanner
ISBN: 9783642137679 3642137679
OCLC Number: 700444364
In: Hairer, Ernst
Description: 1 online resource (Online-Ressource.).
Series Title: Springer-Lehrbuch
Responsibility: von Ernst Hairer, Gerhard Wanner.

Abstract:

Diese Einführung in die Analysis orientiert sich in ihrem Aufbau an der zeitlichen Entwicklung der Themen. Die ersten zwei Kapitel schlagen den Bogen von historischen Berechnungsmethoden praktischer Problemen hin zu unendlichen Reihen, Differential- und Integralrechnung und zu Differentialgleichungen. Das Etablieren einer mathematisch stringenten Denkhaltung im 19. Jahrhundert für Analysis ein und mehrerer Variablen wird in den Kapiteln III und IV behandelt. Viele Beispiele, Berechnungen und Bilder ergänzen das Buch und machen es zu einem Lesevergnügen für Studierende, Lehrer und Forscher. Aus den Besprechungen: The aim of this interesting new contribution to the series Readings in Mathematics is an attempt to restore the historical order in the presentation of basic mathematical analysis ... such a historical approach can provide a very fruitful and interesting approach to mathematical analysis. Jean Mawhin, Zentralblatt The authors include a large number of once-traditional subjects which have now vanished from the analysis curriculum. ... The work is very well illustrated. The book is definitely an analysis text, rather than a history, but a great deal of reliable historical material is included. For those seeking an alternative to the traditional approach, it seems to me to be of great interest. Thomas Archibald, Mathematical Reviews The authors ... have assembled an impressive array of annotated results, quotations, tables, charts, figures and drawings, many copied from original documents ... they write with great enthusiasm and with evident affection for both analysis and history. John Troutman, American Mathematical Monthly.

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