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Einführung in Die Analytische Geometrie Der Ebene Und Des Raumes

Einführung in Die Analytische Geometrie Der Ebene Und Des Raumes

          
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About the Book

Zwischen schulmaBiger und h6herer Betrachtung besteht in der analytischen Geometrie vielleicht ein starkerer Gegensatz als in irgend einem anderen Gebiet der Mathematik. Seine Uberwindung soUte man den Studierenden m6glichst erleichtern; am besten so, daB sie selbst die Wandlung ihrer Denkweise innerlich mitschaffend vollziehen. Dem habe ich Rechnung zu tragen gesucht. Die mir bekannten neueren Lehrbucher verfahren freilich zumeist etwas anders. Die projektive Denkweise beherrscht fUr sie von vornherein und in einheitlicher Dar- stellung den Aufbau; was zugleich den baldigsten Gebrauch homogener Koordinaten mit sich bringt. Die methodische Konsequenz dieses Ver- fahrens kann nicht bestritten werden. Fur das vorliegende Lehrbuch ist jedoch auBer den gebieterischen Forderungen der Wissenschaft auch die Rucksicht auf die ebenfalls gebieterischen Bedurfnisse des Lernen- den bestimmend gewesen. Dies gilt insbesondere auch von der Anord- nung des Stoffes. Ich hielt es fUr richtig, die sachlichen und me tho- dischen Grundgedanken dem Studierenden zunachst in der inhomogenen analytischen Sprache zu vermitteln, die er mitzubringen pflegt. Immer wird ein KompromiB personlich gefarbt sein. Ich stehe nicht an zu sagen, daB ich mich wesentlich auf die Seite der Lernenden ge- steUt habe; ein einfUhrendes Lehrbuch soll in erster Linie ein Lern- buch sein. Unter dem Gesichtspunkt des wissenschaftlichen Aufbaues mag allerdings manches in ihm als ein Mangel erscheinen, worin ich selbst eine padagogische Notwendigkeit sehe. Von diesem Gesichts- punkt aus bitte ich den kritischen Leser, Plan und AusfUhrung meiner Arbeit zu beurteilen.


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Product Details
  • ISBN-13: 9783642889981
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Edition: Softcover Reprint of the Origi ed.
  • Language: German
  • Returnable: N
  • Spine Width: 17 mm
  • Width: 152 mm
  • ISBN-10: 3642889980
  • Publisher Date: 01 Jan 1925
  • Binding: Paperback
  • Height: 229 mm
  • No of Pages: 307
  • Series Title: Grundlehren Der Mathematischen Wissenschaften
  • Weight: 430 gr


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