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Grundkurs Analysis 2: Differentiation Und Integration in Mehreren Veranderlichen; Fur Bachelor Und Diplom

Grundkurs Analysis 2: Differentiation Und Integration in Mehreren Veranderlichen; Fur Bachelor Und Diplom

          
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About the Book

Am Anfang des zweiten Teils des Grundkurses Analysis steht die Differentialrechnung von mehreren VerAnderlichen. Es werden alle klassischen Themen behandelt, einschlieAlich des Satzes A1/4ber implizite Funktionen und der Bestimmung von Extremwerten unter Nebenbedingungen. Dabei wird viel Wert auf eine klare Darstellung gelegt, auch bei schwierigeren oder lAngeren Beweisen soll der Leser das Ziel nie aus den Augen verlieren. Am Lebesgue-Integral fA1/4hrt in der Mathematik kein Weg vorbei. Bei seiner EinfA1/4hrung wird hier ein Weg gewAhlt, der fA1/4r Studenten nachvollziehbar und in PrA1/4fungen reproduzierbar ist. Um den mehr technisch-naturwissenschaftlich interessierten Lesern entgegenzukommen, wird zum Vergleich das mehrdimensionale Riemann-Integral eingefA1/4hrt. GegenA1/4berstellungen machen die Gemeinsamkeiten und Unterschiede, z. B. bei den GrenzwertsAtzen, deutlich. Am Ende des zweiten Kapitels verfA1/4gt der Leser A1/4ber ein Grundwissen in Analysis, das ihn zum Besuch weiterfA1/4hrender Vorlesungen (wie Numerik, Funktionalanalysis, Differentialgleichungen oder Differentialgeometrie) befAhigt. ErgAnzend werden im letzten Kapitel die IntegralsAtze von Green, GauA und Stokes in der klassischen Form fA1/4r Vektorfelder behandelt, mit einem Ausblick auf die Theorie der Differentialformen. Entscheidender Bestandteil des didaktischen Konzepts ist die zweifarbige Strukturierung des Stoffes, begleitet von zahlreichen Illustrationen, Beispielen und Aufgaben. Das Buch wendet sich an Bachelor-, Lehramts- und Diplomstudierende in Mathematik, Physik, Informatik und Informationstechnologie, aber auch an Ingenieure mit groAem Bedarf an Mathematik. Es ist geeignet zum Selbststudium, alsBegleitlektA1/4re und ganz besonders auch zur PrA1/4fungsvorbereitung.

(Autor) Klaus Fritzsche (Titel) Grundkurs Analysis 2 (Untertiel) Differentiation und Integration in mehreren Veranderlichen (USP) Optimal zur Prufungsvorbereitung (copy) Am Anfang des zweiten Teils des Grundkurses Analysis steht die Differentialrechnung von mehreren Veranderlichen Dabei wird viel Wert auf eine klare Darstellung gelegt. Am Ende des zweiten Kapitels verfugt der Leser uber ein Grundwissen in Analysis, das ihn zum Besuch weiterfuhrender Vorlesungen (wie Numerik, Funktionalanalysis, Differentialgleichungen oder Differentialgeometrie) befahigt. Erganzend werden im letzten Kapitel die Integralsatze von Green, Gau und Stokes in der klassischen Form fur Vektorfelder behandelt, mit einem Ausblick auf die Theorie der Differentialformen.


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Product Details
  • ISBN-13: 9783827416872
  • Publisher: Spektrum Akademischer Verlag
  • ISBN-10: 3827416876


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