Elementary Mathematics from a Higher Standpoint Volume II: Geometry /

• Κύριος συγγραφέας: Klein, Felix (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2016.
• Θέματα: Education.; Mathematics.; Mathematics > Study and teaching.; Mathematics Education.; Mathematics, general.

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...

Πίνακας περιεχομένων:

• 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.