Moderne Mathematische Methoden in Der Technik

Name: Moderne Mathematische Methoden in Der Technik
Brand: Atlantic Books
SKU: 9783034858540
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ISBN13: 9783034858540
Binding: Paperback
Subject: N/A
Publisher: Birkhauser
Publisher Imprint: Birkhauser
Publication Date: August 23, 2014
Pages: 409
Original Price: EUR 56.07
Language: German
Edition: Softcover Repri
Item Weight: 654 grams
BISAC Subject(s): Life Sciences / General

About The Book

Es ist eine charakteristische Erscheinung unserer Tage, daB mathematische Methoden nicht nur in der Technik, sondern mehr und mehr auch in anderen Lebensbereichen verwendet werden und in die verschiedensten Wissenschaften eindringen. Aber auch in der Technik selbst wird heute die Mathematik bei Problemen angewendet, die bis vor kurzem der Empirie der Praktiken tiberlassen wurden. Die unerhort rasche Entwicklung der Technik und der Naturwissen- schaften hat ihrerseits Inhalt und Verfahrensweise der sogenannten angewandten Mathematik weitgehend vedindert. Noch vor 25-30 Jahren benotigte man zur Losung technischer Probleme kaum andere mathematische Hilfsmittel als diejenigen, die in der Analysis und der Geometrie bis zum Ende des 19. Jahrhunderts bereitgestellt waren. Heute werden, und nicht nur wegen der Verbreitung elektronischer Rechenanlagen u. a., auch Ideen der mathematischen Logik, Satze der abstrakten Algebra, Begriffe der Funktionalanalysis benutzt. Es mag noch erwahnt werden, daB die Nachrichtentechnik ohne graphentheoretische Dberlegungen nicht mehr aus- kommt. Auch die Wahrscheinlichkeitsrechnung, die mathematische Statistik, die Informationstheorie sind wichtige Hilfsmittel in der modernen Technologie, Qualitatsprtifung, Chemie und chemische Industrie geworden. Ein auBerst wichtiger Zweig der Mathematik, dessen Bedeutung in den Anwendungen von Tag zu Tag wachst, ist die Funktionalanalysis. Die exakte Begrtindung der Operatorenrechnung, die Theorie der Integraltransformationen, die moderne Potentialtheorie, die neuartige Behandlung der Differentialgleichungen und die Theorie der Distributionen, urn nur einige Beispiele aufzuzahlen, konnen auf die Methoden der Funktionalanalysis kaum verzichten.

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