Analysis mit dem Computer
Language: German
Published by Vieweg+Teubner Verlag, Vieweg+Teubner Verlag, 1985
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 43.58
Quantity: 1 available
Add to basketItem description from seller
Druck auf Anfrage Neuware - Printed after ordering - Analysis stellt in der mathematischen Wissenschaft eine 1m 19. Jahrhundert mit großer Strenge entwickelte Theorie dar. Ihre Fundamente ruhen auf dem Grenz wertbegriff und den axiomatischen Eigenschaften der reellen Zahlen. In der Schule, die sich auf wissenschaftliche Grundbildung beschränken muß, sind m der Analysis explizite Lösungen oft nicht erreichbar, weil hierzu aufwendige Termumformungen oder Abschätzungen nötig sind. Auch erschließt sich auf der Schule nicht die volle Systematik der Satzzusammenhänge und einschlägigen Be griffe, weil die notwendigen Beweistechniken nicht zur Verfügung stehen. Es wird nicht überraschen, daß der Computer Grenzen dieser Art auch nicht über winden kann. Allgemeingültige Aussagen auf der Grundmenge der reellen Zahlen kann er grundsätzlich nicht treffen, da ihm nur eine Teilmenge der rationalen Zahlen zur Verfügung steht. Die Feinstruktur einer überall stetigen und nirgendwo differenzierbaren Funktion kann kein Plotter zeichnen und Konvergenz oder Diver genz einer allgemeinen Folge kann kein Rechenwerk entscheiden. Analysis mit dem Computer gewinnt erst in anderer Sicht ihr Recht. Viele Anwendungsprobleme führen auf empirische Funktionen, welche zu interpolieren, zu approximieren oder auszugleichen sind. Ihre Nullstellen werden ebenso interessieren wie ihre Integrale. Für alle diese Ziele sind seit langem numerische Verfahren bekannt, deren al go rithmischer und numerischer Aufwand relativ hoch ist. Über das Entlastungsinstru ment Computer werden diese Verfahren erstmals leicht der Schule zugänglich; zu gleich gewinnt man damit eine Anwendungsorientierung, welche hoch erwünscht ist, weil sie Mathematik beziehungshaltig macht.…
Seller Inventory # 9783519025283
- Title
- Analysis mit dem Computer
- Author
- Alexandra Otto
- Publisher
- Vieweg+Teubner Verlag, Vieweg+Teubner Verlag
- Publication year
- 1985
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- German
- ISBN 10
- 3519025280
- ISBN 13
- 9783519025283
- Item weight
- 429 grams
- Dimensions
- 244x170x14 mm
"Synopsis" may belong to another edition of this title.
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| Item | 30 to 40 business days | 7 to 14 business days |
|---|---|---|
| First item | £ 52.61 | £ 61.07 |
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