Elementary Mathematics from a Higher Standpoint: Volume I: Arithmetic, Algebra, Analysis - Couverture souple
Synopsis
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 I is devoted to what Klein calls the three big "A's" arithmetic, algebra and analysis. They are presented and discussed always together with a dimension of geometric interpretation and visualisation - given his epistemological viewpoint of mathematics being based in space intuition. A particularly revealing example for elementarisation is his chapter on the transcendence of e and p, where he succeeds in giving concise yet well accessible proofs for the transcendence of these two numbers. It is in this volume that Klein makes his famous statement about the double discontinuity between mathematics teaching at schools and at universities - it was his major aim to overcome this discontinuity.
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À propos de l?auteur
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.
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Elementary Mathematics from a Higher Standpoint
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Springer, Springer Jul 2016, 2016
ISBN 10 : 366249440X
ISBN 13 : 9783662494400
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware - 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 extendedparts 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 ofelementarisation, of the 'elementary from a higher standpoint', in its implementation for school mathematics.This volume I is devoted to what Klein calls the three big 'A's': arithmetic, algebra and analysis. They are presented and discussed always together with a dimension of geometric interpretation and visualisation - given his epistemological viewpoint of mathematics being based in space intuition. A particularly revealing example for elementarisation is his chapter on the transcendence ofeand p, where he succeeds in giving concise yet well accessible proofs for the transcendence of these two numbers. It is in this volume that Klein makes his famous statement about the double discontinuity between mathematics teaching at schools and at universities - it was his major aim to overcome this discontinuity. 332 pp. Englisch. N° de réf. du vendeur 9783662494400
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Elementary Mathematics from a Higher Standpoint
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Springer Berlin Heidelberg, 2016
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ISBN 13 : 9783662494400
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Couverture souple
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. New translation of the classic volume on arithmetic, algebra, and analysisInvaluable treatise for any mathematics educatorExhibits the connections between geometry and more formalistic mathematics. N° de réf. du vendeur 117040808
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Elementary Mathematics from a Higher Standpoint | Volume I: Arithmetic, Algebra, Analysis
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Taschenbuch. Etat : Neu. Elementary Mathematics from a Higher Standpoint | Volume I: Arithmetic, Algebra, Analysis | Felix Klein | Taschenbuch | xx | Englisch | 2016 | Springer | EAN 9783662494400 | Verantwortliche Person für die EU: Springer Spektrum in Springer Science + Business Media, Tiergartenstr. 15-17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. N° de réf. du vendeur 103983298
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Elementary Mathematics from a Higher Standpoint
Edité par
Springer, Springer Jul 2016, 2016
ISBN 10 : 366249440X
ISBN 13 : 9783662494400
Neuf
Taschenbuch
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -¿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 I is devoted to what Klein calls the three big 'A's': arithmetic, algebra and analysis. They are presented and discussed always together with a dimension of geometric interpretation and visualisation - given his epistemological viewpoint of mathematics being based in space intuition. A particularly revealing example for elementarisation is his chapter on the transcendence of e and p, where he succeeds in giving concise yet well accessible proofs for the transcendence of these two numbers. It is in this volume that Klein makes his famous statement about the double discontinuity between mathematics teaching at schools and at universities - it was his major aim to overcome this discontinuity.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 332 pp. Englisch. N° de réf. du vendeur 9783662494400
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Elementary Mathematics from a Higher Standpoint: Arithmetic, Algebra, Analysis: Vol 1
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Spektrum Akademischer Verlag Gmbh, 2016
ISBN 10 : 366249440X
ISBN 13 : 9783662494400
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Elementary Mathematics from a Higher Standpoint : Volume I: Arithmetic, Algebra, Analysis
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 extendedparts 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 ofelementarisation, of the 'elementary from a higher standpoint', in its implementation for school mathematics.This volume I is devoted to what Klein calls the three big 'A's': arithmetic, algebra and analysis. They are presented and discussed always together with a dimension of geometric interpretation and visualisation - given his epistemological viewpoint of mathematics being based in space intuition. A particularly revealing example for elementarisation is his chapter on the transcendence ofeand p, where he succeeds in giving concise yet well accessible proofs for the transcendence of these two numbers. It is in this volume that Klein makes his famous statement about the double discontinuity between mathematics teaching at schools and at universities - it was his major aim to overcome this discontinuity. N° de réf. du vendeur 9783662494400
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