"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.
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