Hans-Heinrich Körle: Infinite Series in a History of Analysis, Kartoniert / Broschiert

Beschreibung

Für die Entwicklungsgeschichte der Analysis sind die unendlichen Reihen nicht nur ein roter Faden; seit dem 17. Jahrhundert untrennbar mit der Infinitesimalrechnung verbunden, bilden sie geradezu ihr Rückgrat. In Struktur und Anschaulichkeit sind sie ein dankbares Objekt der Didaktik. Rückblicke, Einsichten, Ausblicke sind geeignet, das Verständnis für den Lehrstoff "Analysis" zu vertiefen.

Klappentext

"Higher mathematics" once pointed towards the involvement of infinity. This we label analysis. The ancient Greeks had helped it to a first high point when they mastered the infinite. The book traces the history of analysis along the risky route of serial procedures through antiquity. It took quite long for this type of mathematics to revive in our region. When and where it did, infinite series proved the driving force. Not until a good two millennia had gone by, would analysis head towards Greek rigor again. To follow all that trial, error and final accomplishment, is more than studying history: It provides touching, worthwhile access to advanced calculus. Moreover, some steps beyond convergence show infinite series to naturally fit a wider frame.