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Funktionalanalysis: Im Hinblick Auf Anwendungen in Der Physik
Paperback
CalculusGeneral MathematicsPhysics
ISBN13: 9783658024017
Publisher: Springer Spektrum
Published: Sep 10 2014
Pages: 344
Weight: 1.28
Height: 0.76 Width: 6.69 Depth: 9.61
Language: German
Dieses Lehrbuch legt besonderen Wert auf eine motivierende und sorgfältig begründende Darstellung, auf eine den Leser anleitende Entwicklung eines für die Anwendungen in der Physik besonders wichtigen Gebietes. Funktionalanalysis findet in sehr vielen Bereichen Anwendung und gehört deshalb zum mathematischen Standard-Rüstzeug. Saubere und prägnante Formulierungen erleichtern eine optimale Erarbeitung des Stoffes, auch im Selbststudium, auch für Prüfungen. Der Text konzentriert sich auf das, was für das Studium tatsächlich benötigt wird, aber auch während des Studiums bewältigt werden kann.
Das Erlernen von notwendigen mathematischen Grundlagen ist eine wichtige Basis für ein erfolgreiches Studium der Physik. Sie stellen das Handwerkszeug des Physikers dar. Neben der Vektorrechnung, den Differentialgleichungen und der Gruppentheorie ist besonders die Funktionalanalysis für die Physik von besonderer Bedeutung. Man benötigt sie immer wieder, z. B. in der Quantenphysik, in der Elektrodynamik, in der Statistischen Physik usw. - Dieses viel gelesene und bewährte Buch, jetzt in 5., komplett überarbeiteter Auflage vorgelegt, basiert auf langjähriger praktischer Erfahrung des Autors mit der Vermittlung dieses mathematischen Stoffes für Studierende der Physik, aber auch der Mathematik und weiterer benachbarter Fächer. Es werden nur geringe physikalische Kenntnisse vorausgesetzt, denn gerade dem Training für den Gebrauch in der Physik soll dieses Lehrbuch dienen. Oft werden konkrete Hinweise gegeben, in welcher Form die gerade untersuchten mathematischen Ergebnisse physikalische Anwendung finden. Dieser Text ist sowohl für Anfänger als auch für Fortgeschrittene von Nutzen.
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