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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin :
De Gruyter Oldenbourg,
[2015]
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| Colección: | De Gruyter textbook.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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|---|---|---|---|
| 001 | EBSCO_ocn930487588 | ||
| 003 | OCoLC | ||
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| 020 | |z 3110399164 | ||
| 020 | |z 9783110343724 | ||
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| 049 | |a UAMI | ||
| 100 | 1 | |a Körle, Hans-Heinrich. | |
| 245 | 1 | 0 | |a Infinite series in a history of analysis : |b stages up to the verge of summability / |c Hans-Heinrich Körle. |
| 264 | 1 | |a Berlin : |b De Gruyter Oldenbourg, |c [2015] | |
| 300 | |a 1 online resource (150 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter Studium | |
| 588 | 0 | |a Print version record. | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | 0 | |t Frontmatter -- |t Foreword -- |t Contents -- |t 1. The Greek era: Speculation, ideas and the comet of rigor -- |t 2. Successful experiments on infinite summation -- |t 3. Series of functions: the prototypes -- |t 4. Series seriously: the Greek comet reappears -- |t 5. On the verge of summability -- |t Appendixes (of notes, proofs, exercises) -- |t Life Data -- |t References -- |t Index. |
| 520 | |a "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. | ||
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Series, Infinite. | |
| 650 | 0 | |a Mathematics |x Philosophy |x History. | |
| 650 | 6 | |a Séries infinies. | |
| 650 | 6 | |a Mathématiques |x Philosophie |x Histoire. | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Mathematics |x Philosophy |2 fast | |
| 650 | 7 | |a Series, Infinite |2 fast | |
| 655 | 7 | |a History |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Körle, Hans-Heinrich, 1934- |t Infinite series in a history of analysis : stages up to the verge of summability. |d Berlin, [Germany] ; Boston, [Massachusetts] : De Gruyter Oldenbourg, ©2015 |h x, 132 pages |k De Gruyter textbook. |z 9783110343724 |
| 830 | 0 | |a De Gruyter textbook. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1076622 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH26829129 | ||
| 938 | |a Askews and Holts Library Services |b ASKH |n AH26072724 | ||
| 938 | |a De Gruyter |b DEGR |n 9783110359831 | ||
| 938 | |a EBL - Ebook Library |b EBLB |n EBL4006805 | ||
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| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n cis27537309 | ||
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