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 crucial 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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Extra info for Analysis 3
2, SeaWiFS has eight spectral bands which are optimized for ocean chlorophyll detection and the necessary atmospheric corrections. 1 km and the swath-width 2,800 km. Due to the wide swath-width, the revisit time is once per day. Physical oceanography satellites Most studies of climate change require physical data as well as biological information. As described in Chapter 10, radar and thermal infrared sensors are available on aircraft and satellites for measuring and mapping the physical properties of land and ocean features and processes.
3). 5). 1 Remote sensing systems used to collect multispectral and hyperspectral imagery. In electro-optical multispectral sensors, the visible region is divided into many bands, whereas aerial photography uses blue, green, and red bands plus one reflected band in the near-infrared. 1 illustrates the operation of an analogue frame camera and two types of multispectral scanners – the cross-track or whisk-broom and the along-track or push-broom types. 2). , 2006). 2 Components of a multispectral scanner.
SAR is also effective for monitoring ocean surface features, including oil spills. 1, passive microwave radiometers can also provide a wide range of information, including water salinity, temperature, water vapour, soil moisture, etc. , 2003; Martin, 2004). 6 Existing image archives Many Earth observation systems are operated for profit, and hence the data must be purchased. This is particularly true for high spatial resolution visible and radar data delivered by commercial (as opposed to government) satellite systems.
Analysis 3 by Forster Otto
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