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Gewöhnliche Differentialgleichungen: Einführung in Lehre Und Gebrauch by Harro Heuser

Gewöhnliche Differentialgleichungen: Einführung in Lehre Und Gebrauch

by Harro Heuser
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Book cover type: Paperback
  • ISBN13: 9783519122272
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Vieweg+teubner Verlag
  • Publisher Imprint: Vieweg+teubner Verlag
  • Publication Date:
  • Pages: 628
  • Original Price: EUR 51.39
  • Language: German
  • Edition: 2. Aufl. 1989
  • Item Weight: 994 grams
  • BISAC Subject(s): Engineering (General)

Dieses Buch ist aus Vorlesungen und Übungen entstanden, die ich mehrfach an der Universität Karlsruhe für Mathematiker, Physiker, Ingenieure und Informati- ker gehalten habe. Es ist so geschrieben, da es zum Selbststudium dienen kann: Die Gedankengänge sind ausgiebig motiviert, die Beweise detailliert, und an durchgerechneten Beispielen und gelösten Aufgaben herrscht kein Mangel. Bei der Abfassung schwebte mir vor, nicht nur ein theoretisches Gerüst aufzubau- en, sondern auch eine Brücke zu den Anwendungen zu schlagen. Damit wollte ich zweierlei erreichen: erstens wollte ich ganz nüchtern und pragmatisch den Stu- denten der Mathematik auf seine spätere Zusammenarbeit mit Naturwissenschaft- lern und Ingenieuren einstimmen und im gleichen Atemzug auch dem "Anwen- der" den Zugang zu den Differentialgleichungen erleichtern. Zweitens wollte ich - weniger nüchtern und weniger pragmatisch - den Leser auf etwas hinweisen, das zu den Wundern und Kraftquellen unserer Kultur gehört: auf die Tatsache, da "reines" Denken, "Hirn-Gespinst" - eben Mathematik - die reale Welt nach- zeichnen und umgestalten kann. Das Staunen hierüber hat denn auch alle Philo- sophen ergriffen, die nicht blo Schwadroneure waren. Und noch Einstein fragte verwundert: "Wie ist es möglich, da die Mathematik, letztlich doch ein Produkt menschlichen Denkens, unabhängig von der Erfahrung, den wirklichen Gegeben- heiten so wunderbar entspricht?" Die wissenschaftliche Revolution, die uns noch immer treibt und drängt und drückt, diese sehr revolutionäre Revolution, hat im 17. Jahrhundert begonnen, und ihre Bastillestürmer waren "Hirngespinste" par ex- cellence: Newtonsche Fluxionen und Leibnizsche Differentiale.

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