Nonstandard-Analysis : : In der Hochschul-Didaktik, Logik und Philosophie / / Karl Kuhlemann.
How can there be infinitesimally real and infinitely large natural numbers? And how can we use these numbers to teach analysis while also providing interesting insights into the principles of mathematics? This volume provides detailed answers. Nonstandard analysis is not just for teaching but is als...
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| Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2024 Part 1 |
|---|---|
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2023] ©2024 |
| Year of Publication: | 2023 |
| Language: | German |
| Online Access: | |
| Physical Description: | 1 online resource (XVIII, 222 p.) |
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| LEADER | 04171nam a2200769Ia 4500 | ||
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| 001 | 9783111229027 | ||
| 003 | DE-B1597 | ||
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| 100 | 1 | |a Kuhlemann, Karl, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Nonstandard-Analysis : |b In der Hochschul-Didaktik, Logik und Philosophie / |c Karl Kuhlemann. |
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2023] | |
| 264 | 4 | |c ©2024 | |
| 300 | |a 1 online resource (XVIII, 222 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | 0 | |t Frontmatter -- |t Vorwort -- |t Inhalt -- |t Abbildungsverzeichnis -- |t Tabellenverzeichnis -- |t 1 Einleitung -- |t 2 Elemente einer vorlesungsergänzenden Veranstaltung -- |t 3 Ein Überblick zur Nonstandard-Analysis -- |t 4 Zur Praxis und Akzeptanz in der Lehre -- |t 5 Philosophische Fragen und mathematische Herausforderungen -- |t 6 Aus den mathematischen Grundlagen: Zum Status der Nichtstandardzahlen -- |t 7 Schlussbetrachtung -- |t Literatur -- |t Stichwortverzeichnis |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a How can there be infinitesimally real and infinitely large natural numbers? And how can we use these numbers to teach analysis while also providing interesting insights into the principles of mathematics? This volume provides detailed answers. Nonstandard analysis is not just for teaching but is also especially valuable for understanding standard analysis and mathematics in general. | ||
| 520 | |a Wie kann es unendlich kleine reelle und unendlich große natürliche Zahlen geben? Und wie können wir solche Zahlen für die Lehre der Analysis nutzen und gleichzeitig Reflexionen über die Grundlagen der Mathematik anregen? Dieses Werk gibt detailliert Antworten und zeigt, dass die Nonstandard-Analysis nicht nur für die Lehre, sondern auch für das Verständnis der Standard-Analysis und der Mathematik insgesamt außerordentlich wertvoll ist. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In German. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 02. Jun 2024) | |
| 650 | 4 | |a Analysis. | |
| 650 | 4 | |a Grundlagen der Mathematik. | |
| 650 | 4 | |a Infinitesimalkalkül. | |
| 650 | 4 | |a Nichtstandardanalysis. | |
| 650 | 4 | |a Philosophien der Mathematik. | |
| 650 | 7 | |a MATHEMATICS / Mathematical Analysis. |2 bisacsh | |
| 653 | |a . | ||
| 653 | |a Foundations of Mathematics. | ||
| 653 | |a Infinitesimal Calculus. | ||
| 653 | |a Nonstandard Analysis. | ||
| 653 | |a Philosophy of Mathematics. | ||
| 653 | |a Teaching of Analysis. | ||
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DG Plus DeG Package 2024 Part 1 |z 9783111332192 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2023 |z 9783111318912 |o ZDB-23-DGG |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2023 |z 9783111318608 |o ZDB-23-DMA |
| 776 | 0 | |c EPUB |z 9783111230214 | |
| 776 | 0 | |c print |z 9783111224251 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9783111229027 |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9783111229027 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9783111229027/original |
| 912 | |a 978-3-11-133219-2 DG Plus DeG Package 2024 Part 1 |b 2024 | ||
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