Elementary Mathematics from a Higher Standpoint Volume II: Geometry /

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 toda...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Klein, Felix (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Temas:
Mathematics-Study and teaching .
Mathematics.
Mathematics Education.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • First Part: The Simplest Geometric Formations. I. Line-Segment, Area, Volume as Relative Quantities
  • II. The Grassmannian Determinant Principle for the Plane
  • III. The Grassmannian Principle for Space
  • IV. Classification of the Elementary Configurations of Space According to their Behaviour under Transformation of Rectangular Coordinates
  • V. Higher Configurations
  • Part Two: Geometric Transformations. I. Affine Transformations
  • II. Projective Transformations
  • III. Higher Point Transformations
  • IV. Transformations with Change of Space Element
  • V. Theory of the Imaginary
  • Part Three: Systematic Discussion of Geometry and its Foundations. I. The Systematic Discussion
  • II. Foundations of Geometry
  • Final Chapter: Observations about the Teaching of Geometry. I. The Teaching in England
  • II. The Teaching in France
  • III.The Teaching in Italy
  • IV. Teaching in Germany
  • Appendix I
  • Appendix II
  • Index of Names
  • Index of Contents.

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