Operatorenrechnung: Mit Anwendungen Auf Technische Probleme

Name: Operatorenrechnung: Mit Anwendungen Auf Technische Probleme
Brand: Springer
SKU: 9783642877117
Price: 2608.0 INR
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by Jacobus P. Schouten

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ISBN13: 9783642877117
Binding: Paperback
Subject: N/A
Publisher: Springer
Publisher Imprint: Springer
Publication Date: March 29, 2012
Pages: 225
Original Price: EUR 35.5
Language: German
Edition: Softcover Repri
Item Weight: 336 grams
BISAC Subject(s): Engineering (General)

About The Book

Dieses Bueh ist aus dem Bedlirfnis entstanden, die wahrend einer mehrjahrigen Lehrtatigkeit des Verfassers auf dem Gebiet der Opera- torenrechnung gesammelten Ergebnisse didaktiseher und wissensehaft- lieher Art zusammenzufassen. Die Operatorenreehnung findet in der Elektrotechnik bei der Be- handlung von Ausgleichsvorgangen Verwendung. Sie gibt dem Ingenieur ein wichtiges Werkzeug in die Hand, urn komplizierte Vorgange in elektrisehen Netzwerken leicht zu libersehen und den Verlauf dieser Vorgange beim Entwurf seiner Sehaltungen vorauszubereehnen. Wir haben versucht, mit einfachen Beispielen anfangend, die Opera- torenrechnung im Geiste von OLIVER HEAVISIDE aufzubauen. Dabei haben wir uns bemliht, dem Ingenieur zu zeigen, wie die Regeln und Rechenvorschriften, die HEAVISIDE gegeben und angewendet hat, ohne Furcht vor Fehlern benutzt werden konnen, wenn man sie nur passend ergiinzt. Selbstverstiindlich haben wir bei der Darstellung ausgiebigen Gebraueh gemacht von den Untersuchungen vieler Mathematiker, Ingenieure und Physiker, die in der Literatur zu finden sind. Dabei clenken wir an die grundlegenden Arbeiten von WAGNER, BROMWICH, CARSON, LEVY, VAN DER POL und vielen anderen. Es zeigt sieh, dal3 aIle Regeln und Theoreme, die HEAVISIDE angegeben hat, soweit sie bei den Anwendungen zur Geltung kommen, mittels der funktionen- theoretischen Methode bewiesen werden konnen. Auch der Umkehrsatz ist auf diese Weise begrlindet worden. Wir hoffen sehr, dal3 Ingenieure anderer Faehrichtungen ebenfalls unser Bucll zur Hand nehmen werden, weil das gebotene Verfahren mit Vorteil auf allen Gebieten angewandt werden kann, bei denen sich die Vorgange mittels linearer Differentialgleiehungen oder mit Integral- es soweit dies gleichungen einfacher Art besehreiben lassen.

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