Felix Klein
Elementary Mathematics from a Higher Standpoint
Volume II: Geometry
Ebook (PDF Format)
These three volumes constitute the first complete English translation of Felix Klein's seminal series Elementarmathematik vom höheren Standpunkte aus. Complete has a twofold meaning here: First, there now exists a translation of volume III into English, while until today the only translation had been into Chinese. Second, the English versions of volume I and II had omitted several, even extended parts of the original, while we now present a complete revised translation into modern English.The volumes, first published between 1902 and 1908, are lecture notes of courses that Klein offered to future mathematics teachers, realizing a new form of…
Mehr
Beschreibung
These three volumes constitute the first complete English translation of Felix Klein's seminal series Elementarmathematik vom höheren Standpunkte aus. Complete has a twofold meaning here: First, there now exists a translation of volume III into English, while until today the only translation had been into Chinese. Second, the English versions of volume I and II had omitted several, even extended parts of the original, while we now present a complete revised translation into modern English.The volumes, first published between 1902 and 1908, are lecture notes of courses that Klein offered to future mathematics teachers, realizing a new form of teacher training that remained valid and effective until today: Klein leads the students to gain a more comprehensive and methodological point of view on school mathematics. The volumes enable us to understand Klein's far-reaching conception of elementarisation, of the elementary from a higher standpoint, in its implementation for school mathematics.This volume II presents a paradigmatic realisation of Klein's approach of elementarisation for teacher education. It is shown how the various geometries, elaborated particularly since the beginning of the 19th century, are revealed as becoming unified in a new restructured geometry. As Klein put it: Projective geometry is all geometry. Non-Euclidean geometry proves to constitute a part of this unifying process. The teaching of geometry is discussed in a separate chapter, which provides moreover important information on the history of geometry teaching and an international comparison.About the AuthorFelix Klein (1849-1925) was a leading German mathematician whose research interests included group theory, complex analysis, and geometry. His work influenced many areas of mathematics and related subjects, ranging from mathematical physics to mathematical didactics. To this day, Felix Klein is considered one of the most important mathematicians of the 19th century.
CHF 77.00
Preise inkl. MwSt. und Versandkosten (Portofrei ab CHF 40.00)
Versandkostenfrei
Produktdetails
- ISBN: 978-3-662-49445-5
- EAN: 9783662494455
- Produktnummer: 20193810
- Verlag: Springer
- Sprache: Englisch
- Erscheinungsjahr: 2016
- Plattform: PDF
- Masse: 4'576 KB
Über den Autor
Felix Klein (1849-1925) was a leading German mathematician whose research interests included group theory, complex analysis, and geometry. His work influenced many areas of mathematics and related subjects, ranging from mathematical physics to mathematical didactics.To this day, Felix Klein is considered one of the most important mathematicians of the 19th century.
100 weitere Werke von Felix Klein:
Volume II: Geometry
Ebook (PDF Format)
CHF 62.00
Volume II: Geometry
Ebook (PDF Format)
CHF 48.50
Volume II: Geometry
Ebook (PDF Format)
CHF 51.92
Volume II: Geometry
Ebook (PDF Format)
CHF 50.00
Volume II: Geometry
Ebook (EPUB Format)
CHF 16.75
Volume II: Geometry
Ebook (EPUB Format)
CHF 14.20
Volume II: Geometry
Ebook (EPUB Format)
CHF 1.30
Bewertungen
0 von 0 Bewertungen
Anmelden
Keine Bewertungen gefunden. Seien Sie der Erste und teilen Sie Ihre Erkenntnisse mit anderen.