Elementary Mathematics from a Higher Standpoint is popular PDF and ePub book, written by Felix Klein in 2016-06-29, it is a fantastic choice for those who relish reading online the Education genre. Let's immerse ourselves in this engaging Education book by exploring the summary and details provided below. Remember, Elementary Mathematics from a Higher Standpoint can be Read Online from any device for your convenience.
Elementary Mathematics from a Higher Standpoint Book PDF Summary
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./div 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.
Detail Book of Elementary Mathematics from a Higher Standpoint PDF
- Author : Felix Klein
- Release : 29 June 2016
- Publisher : Springer
- ISBN : 9783662494455
- Genre : Education
- Total Page : 318 pages
- Language : English
- PDF File Size : 15,5 Mb
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