Cargando…

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...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Körle, Hans-Heinrich
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin : De Gruyter Oldenbourg, [2015]
Colección:De Gruyter textbook.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.