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Körle, Hans-Heinrich

Infinite Series in a History of Analysis

Stages up to the Verge of Summability

Series:De Gruyter Textbook

DE GRUYTER OLDENBOURG

    300,00 € / $420.00 / £272.50*

    eBook (PDF)
    Publication Date:
    September 2015
    Copyright year:
    2015
    ISBN
    978-3-11-035983-1
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    Overview

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    Aims and Scope

    "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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    Details

    24.0 x 17.0 cm
    x, 132 pages
    23 Fig.
    DE GRUYTER OLDENBOURG
    Language:
    English
    Type of Publication:
    Professional Book
    Keyword(s):
    Readership:
    For mathematics students and anyone who is delighted by mathematics

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    Hans-Heinrich Körle, form.University of Marburg, Germany.

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