Elementary Mathematics from an Advanced Standpoint by Felix Klein

Elementary Mathematics from an Advanced Standpoint by Felix Klein

These three volumes constitute the first complete English translation of Felix Klein's seminal series Elementarmathematik vom hü¾¦˜¼heren Standpunkte aus. Complete has a twofold meaning here: First, there now exists a translation of volume I into English, while until today the only translation had been into Chinese. Second, the English versions of volume I and I 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 I 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.

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ISBN 13
Title	Elementary Mathematics from an Advanced Standpoint
Author	Felix Klein
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Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.