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Wege zur Analysis

Wege zur Analysis

Brand
Springer Nature
Manufacturer
N/A
Part Number
0
GTIN
9783540420323
Condition
New
Product Description

Gedacht als Ergnzung zu den blichen Standardvorlesungen der Analysis, richtet sich dieses Buch vornehmlich an Studierende des Lehramtstudienganges, aber auch an solche, die sich fr deren historische Entwicklung interessieren. Es werden Themen vorgestellt, die wesentlichen Einflu auf die Entstehung der Analysis hatten z.B. die Theorie der Kettenbrche (blicherweise in der Zahlentheorie angesiedelt), die gewhnlichen Differentialgleichungen und die elementare Differentialgeometrie. Besonders widmet sich das Buch der mehrdimensionalen Differentialrechnung, deren Eigenschaften am Beispiel der Kartierung der Erde illustriert und transparent gemacht werden. Abgeschlossen wir das Buch mit dem ersten globalen Resultat der Differentialgeometrie der Flchen, dem Satz von Gau-Bonnet. Zahlreiche Abbildungen, Kurzbiographien von 31 Mathematikern sowie 100 bungsaufgaben mit Lsungen bzw. Lsungshinweisen runden die inhaltliche Darstellung ab.

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