Zur Startseite gehen
0,00 €*
Cover: 9783111428871 | Nonstandard Analysis | In Higher Education, Logic and Philosophy
Dekorationsartikel gehören nicht zum Leistungsumfang.
Nonstandard Analysis
In Higher Education, Logic and Philosophy
Taschenbuch von Karl Kuhlemann
Sprache: Englisch

83,30 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Lieferzeit 2-3 Wochen

Kategorien:
Beschreibung
Currently, nonstandard analysis is barely considered in university teaching. The author argues that nonstandard analysis is valuable not only for teaching, but also for understanding standard analysis and mathematics itself. An axiomatic approach wich pays attention to different language levels (for example, in the distinction between sums of ones and the natural numbers of the theory) leads naturally to a nonstandard theory. For motivation historical ideas of Leibniz can be taken up. The book contains an elaborated concept that follows this approach and is suitable, for example, as a basis for a lecture-supplementary course.

The monograph part presents all major approaches to nonstandard analysis and discusses logical, model-theoretic, and set-theoretic investigations to reveal possible mathematical reasons that may lead to reservations about nonstandard analysis. Also various foundational positions as well as ontological, epistemological, and application-related issues are addressed. It turns out that the one-sided preference for standard analysis is justified neither from a didactic, mathematical nor philosophical point of view.

Thus, the book is especially valuable for students and instructors of analysis who are also interested in the foundations of their subject.

Currently, nonstandard analysis is barely considered in university teaching. The author argues that nonstandard analysis is valuable not only for teaching, but also for understanding standard analysis and mathematics itself. An axiomatic approach wich pays attention to different language levels (for example, in the distinction between sums of ones and the natural numbers of the theory) leads naturally to a nonstandard theory. For motivation historical ideas of Leibniz can be taken up. The book contains an elaborated concept that follows this approach and is suitable, for example, as a basis for a lecture-supplementary course.

The monograph part presents all major approaches to nonstandard analysis and discusses logical, model-theoretic, and set-theoretic investigations to reveal possible mathematical reasons that may lead to reservations about nonstandard analysis. Also various foundational positions as well as ontological, epistemological, and application-related issues are addressed. It turns out that the one-sided preference for standard analysis is justified neither from a didactic, mathematical nor philosophical point of view.

Thus, the book is especially valuable for students and instructors of analysis who are also interested in the foundations of their subject.

Details
Erscheinungsjahr: 2024
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: XVIII
216 S.
8 s/w Illustr.
1 farbige Illustr.
20 s/w Tab.
8 b/w and 1 col. ill.
20 b/w tbl.
ISBN-13: 9783111428871
ISBN-10: 3111428877
Sprache: Englisch
Ausstattung / Beilage: Großformatiges Paperback. Klappenbroschur
Autor: Kuhlemann, Karl
Hersteller: De Gruyter
Verantwortliche Person für die EU: Walter de Gruyter GmbH, De Gruyter GmbH, Genthiner Strasse 13, D-10785 Berlin, productsafety@degruyterbrill.com
Abbildungen: 8 b/w and 1 col. ill., 20 b/w tbl.
Maße: 15 x 169 x 243 mm
Von/Mit: Karl Kuhlemann
Erscheinungsdatum: 16.12.2024
Gewicht: 0,39 kg
Artikel-ID: 129919953
Details
Erscheinungsjahr: 2024
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: XVIII
216 S.
8 s/w Illustr.
1 farbige Illustr.
20 s/w Tab.
8 b/w and 1 col. ill.
20 b/w tbl.
ISBN-13: 9783111428871
ISBN-10: 3111428877
Sprache: Englisch
Ausstattung / Beilage: Großformatiges Paperback. Klappenbroschur
Autor: Kuhlemann, Karl
Hersteller: De Gruyter
Verantwortliche Person für die EU: Walter de Gruyter GmbH, De Gruyter GmbH, Genthiner Strasse 13, D-10785 Berlin, productsafety@degruyterbrill.com
Abbildungen: 8 b/w and 1 col. ill., 20 b/w tbl.
Maße: 15 x 169 x 243 mm
Von/Mit: Karl Kuhlemann
Erscheinungsdatum: 16.12.2024
Gewicht: 0,39 kg
Artikel-ID: 129919953
Sicherheitshinweis

Ähnliche Produkte

Diese Website verwendet Cookies, um eine bestmögliche Erfahrung bieten zu können. Mehr Informationen ...