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Infinite series in a history of analysis : stages up to the verge of summability /

"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 to...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Körle, Hans-Heinrich
Format: Electronic eBook
Language:Inglés
Published: Berlin : De Gruyter Oldenbourg, [2015]
Series:De Gruyter textbook.
Subjects:
Online Access:Texto completo
Table of Contents:
  • Frontmatter
  • Foreword
  • Contents
  • 1. The Greek era: Speculation, ideas and the comet of rigor
  • 2. Successful experiments on infinite summation
  • 3. Series of functions: the prototypes
  • 4. Series seriously: the Greek comet reappears
  • 5. On the verge of summability
  • Appendixes (of notes, proofs, exercises)
  • Life Data
  • References
  • Index.