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Lehrbuch Der Analysis Teil 1

Lehrbuch Der Analysis Teil 1

          
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About the Book

Dieses Buch ist der erste Teil eines zweibändigen Werkes über Analysis. Es ist aus Vorlesungen, Übungen und Seminaren erwachsen, die ich mehrfach an den Universitäten Mainz und Karlsruhe gehalten habe, und so angelegt, daß es auch zum Selbststudium dienen kann. Ich widerstehe der Versuchung, dem Studenten, der jetzt dieses Vorwort liest, ausführlich die Themen zu beschreiben, die ihn erwarten; denn dazu müßte ich Worte gebrauchen, die er doch erst nach der Lektüre des Buches verstehen kann-nach der Lektüre aber sollte er selbst wissen, was gespielt worden ist. Den Kenner hingegen wird ein Blick auf das Inhaltsverzeichnis und ein rasches Durchblättern ausreichend orientieren. Dennoch halte ich es für möglich, anknüpfend an Schulkenntnisse und Alltagser- fahrung auch dem Anfänger verständlich zu machen, was der rote Faden ist, der dieses Buch durchzieht und in welchem Geist es geschrieben wurde und gelesen werden möchte. Der rote Faden, das ständig aufklingende Leitmotiv und energisch vorwärts- treibende Hauptproblem ist die Frage, wie man das Änderungsverhalten einer Funktion verstehen, beschreiben und beherrschen kann, schärfer: Welche Be- griffe eignen sich am besten dazu, die Änderung einer Funktion "im Kleinen" (also bei geringen Änderungen ihrer unabhängigen Variablen) zu erfassen, was kann man über die Funktion "im Großen", über ihren Gesamtverlauf sagen, wenn man Kenntnisse über ihr Verhalten "im Kleinen" hat, geben uns diese Kenntnisse vielleicht sogar die Funktion gänzlich in die Hand ode{ besser: Wie tief müssen diese "lokalen Kenntnisse" gehen, um uns die Funktion "global" vollständig auszuliefern.


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Product Details
  • ISBN-13: 9783519322313
  • Publisher: Vieweg+teubner Verlag
  • Publisher Imprint: Vieweg+teubner Verlag
  • Edition: 10
  • Language: German
  • Returnable: Y
  • Spine Width: 33 mm
  • Width: 156 mm
  • ISBN-10: 3519322315
  • Publisher Date: 01 Dec 1992
  • Binding: Paperback
  • Height: 234 mm
  • No of Pages: 644
  • Series Title: Mathematische Leitfäden
  • Weight: 892 gr


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