The Resource Elementary mathematics from a higher standpoint, Volume II, Geometry, Felix Klein ; translated by Gert Schubring

Elementary mathematics from a higher standpoint, Volume II, Geometry, Felix Klein ; translated by Gert Schubring

Label
Elementary mathematics from a higher standpoint, Volume II, Geometry
Title
Elementary mathematics from a higher standpoint
Title number
Volume II
Title part
Geometry
Statement of responsibility
Felix Klein ; translated by Gert Schubring
Title variation
Geometry
Creator
Author
Subject
Language
  • eng
  • ger
  • eng
Summary
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 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 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 Author 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
Member of
Cataloging source
N$T
Dewey number
516
Index
no index present
LC call number
QA445
Literary form
non fiction
Nature of contents
dictionaries
Label
Elementary mathematics from a higher standpoint, Volume II, Geometry, Felix Klein ; translated by Gert Schubring
Publication
Antecedent source
unknown
http://library.link/vocab/branchCode
  • net
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Control code
ocn952706047
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9783662494455
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-662-49445-5
Quality assurance targets
unknown
http://library.link/vocab/recordID
.b35307596
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)952706047
  • springer3662494450

Library Locations

    • Deakin University Library - Geelong Waurn Ponds CampusBorrow it
      75 Pigdons Road, Waurn Ponds, Victoria, 3216, AU
      -38.195656 144.304955
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