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By Forster Otto

Der vorliegende Band stellt den dritten Teil eines Analysis-Kurses für Studenten der Mathematik und Physik dar und behandelt die Integralrechnung im $R^n$ mit Anwendungen. In einem ersten Teil wird das Lebesguesche necessary im $R^n$ eingeführt und es werden die wichtigsten Sätze dieser Theorie bewiesen. Als Anwendungen werden u.a. die $L_p$-Räume und die Fouriertransformation behandelt. Als nächstes wird der Gaußsche Integralsatz bewiesen, der dann zum Studium der Potentialgleichung und zur Konstruktion von Fundamental-Lösungen einiger anderer partieller Differentialgleichungen benützt wird. In einem letzten Teil wird schließlich der Differentialformenkalkül eingeführt. Dieser Teil enthält auch eine Theorie der Kurvenintegrale sowie den allgemeinen Stokesschen Integralsatz für Untermannigfaltigkeiten des R^n mit Anwendungen auf die Integralsätze für holomorphe Funktionen einer und mehrerer Variablen.

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Heygster, and R. Ezraty. 2003. Improving sea ice type discrimination by the simultaneous use of SSM/I and scatterometer data. Polar Research 22:35–42. C. Comiso. 1992. The ice thickness distribution inferred using remote sensing techniques. D. Carsey. Washington DC: American Geophysical Union. R. Davis. 2000. Further evidence of sea ice thinning in the Arctic Ocean. Geophysical Research Letters 27 (24):3973–3976. B. B. N. C. R. Davis. 1992. Relationship between sea ice freeboard and draft in the Arctic Basin, and implications for thickness monitoring.

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Analysis 3 by Forster Otto


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