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Approximationstheorie by Lothar Collatz, Werner Krabs

Approximationstheorie

by Lothar Collatz , Werner Krabs
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Book cover type: Paperback
  • ISBN13: 9783519020417
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Vieweg+teubner Verlag
  • Publisher Imprint: Vieweg+teubner Verlag
  • Publication Date:
  • Pages: 209
  • Original Price: EUR 46.72
  • Language: German
  • Edition: 1973
  • Item Weight: 250 grams
  • BISAC Subject(s): Engineering (General)

In neuerer Zeit sind so viele Lehrbücher über Approximationstheorie erschienen, da man nach der Berechtigung eines weiteren Buches fragen mag. Die Motivie- rung ergab sich aus der Tatsache, da sowohl in der Zeitschriftenliteratur über Approximationstheorie als auch in den meisten Lehrbüchern relativ wenig auf die Anwendungen eingegangen wird. Es scheint in der heutigen Zeit eine gewisse Diskrepanz zu bestehen zwischen manchen viel von Mathematikern bearbeiteten Gebieten und den Gebieten, deren mathematische Untersuchung von seiten der Anwendungen aus dringend erwünscht wäre. Die in physikalischen und technischen Fragestellungen auftretenden Approximationsprobleme sind, im Zug der fort- schreitenden Entwicklung, so vielseitig und oft andersartig als in der bisher ge- wöhnlich betrachteten Theorie und dabei zugleich häufig mathematisch sehr interessant und tiefliegend, so da sich hier ein au erordentlich reiches Betäti- gungsfeld für die mathematische Forschung ergibt. Sehr oft sind wir von Studen- ten, Diplomanden, Doktoranden nach Themen aus der Approximationstheorie gefragt worden, die zugleich praktische Bedeutung haben, und da hierüber viel- fach nicht genügend bekannt zu sein scheint, versucht dieses Büchlein, die Lücke zwischen Theorie und Anwendungen ein wenig aufzufüllen. Da bei den Anwen- dungen von den verschiedenen Approximationsarten die Tschebyscheffsche Approximation, kurz T. A., die anderen Typen an Bedeutung weit zu übertreffen scheint, befa t sich das Buch vorwiegend mit der T. A., und zwar sowohl mit der Theorie als auch mit den Anwendungen. Der Brücke zwischen bei den dienen auch verschiedene Übungsaufgaben am Schlu des Buches.

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