Vai al contenuto principale della pagina

Infinite series in a history of analysis : stages up to the verge of summability / / Hans-Heinrich Körle



(Visualizza in formato marc)    (Visualizza in BIBFRAME)

Autore: Körle Hans-Heinrich <1934-> Visualizza persona
Titolo: Infinite series in a history of analysis : stages up to the verge of summability / / Hans-Heinrich Körle Visualizza cluster
Pubblicazione: Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter Oldenbourg, , 2015
©2015
Descrizione fisica: 1 online resource (142 p.)
Disciplina: 515/.243
Soggetto topico: Series, Infinite
Mathematics - Philosophy - History
Classificazione: SG 500-SG 600
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: 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
Sommario/riassunto: "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.
Titolo autorizzato: Infinite series in a history of analysis  Visualizza cluster
ISBN: 3-11-035983-9
3-11-039916-4
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910797800903321
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Serie: De Gruyter textbook.