Title:
|
ELEMENTARY MATHEMATICS FROM A HIGHER STANDPOINT
|
Volume: |
Volume 2 |
By: |
Felix Klein, Gert Schubring (Trans) |
Format: |
Paperback |
List price:
|
£54.99 |
We believe that this item is permanently unavailable, and so we cannot source
it.
|
|
|
|
|
ISBN 10: |
3662494434 |
ISBN 13: |
9783662494431 |
Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
Pub. date: |
30 June, 2016 |
Edition: |
2016 ed. |
Pages: |
331 |
Translated from: |
German |
Description: |
These three volumes are the first complete English translation of Felix Klein s series 'Elementarmathematik vom hoheren Standpunkte aus'. The volumes, first published between 1902 and 1908, are lecture notes of courses that Klein offered to future mathematics teachers, a new form of teacher training that remained valid and effective until today. |
Synopsis: |
These three volumes constitute the first complete English translation of Felix Klein's seminal series "Elementarmathematik vom hoheren 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 liked to stress: "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. |
Illustrations: |
157 black & white illustrations, biography |
Publication: |
Germany |
Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
Returns: |
Returnable |