Elementary Mathematics from an Advanced Standpoint PDF Download
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Languages : en
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Author: Felix Klein
Publisher: Springer
ISBN: 3662494450
Category : Education
Languages : en
Pages : 318
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Book Description
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.
Author: Felix Klein
Publisher: Aslan Press
ISBN: 1406700142
Category : Mathematics
Languages : en
Pages : 288
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Book Description
This book provides a fascinating and inspirational read for anyone with an interest in advanced mathematics, written by the great German mathematician Felix Klein. It is highly recommended for inclusion on the bookshelf of anyone with an interest in the subject.
Author: Felix Klein
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 274
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Book Description
Author: Felix Klein
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 296
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Book Description
Author: Felix Klein
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 260
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Book Description
Author: Felix Klein
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Felix Klein
Publisher:
ISBN:
Category :
Languages : en
Pages : 274
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Book Description
Author: Felix Klein
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 316
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Book Description
Author: Félix Klein
Publisher: Dover Publications
ISBN: 9780486788456
Category :
Languages : en
Pages : 288
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Book Description
Graphical and geometrically perceptive methods enliven a distinguished mathematician's treatment of arithmetic, algebra, and analysis. Topics include calculating with natural numbers, complex numbers, goniometric functions, and infinitesimal calculus. 1932 edition. Includes 125 figures.
