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Elementary mathematics from an highe...

Klein, Felix.

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Elementary mathematics from an higher standpoint.. Volume II,. Geometry

Record Type:	Electronic resources : Monograph/item
Title/Author:	Elementary mathematics from an higher standpoint./ by Felix Klein.
remainder title:	Geometry
Author:	Klein, Felix.
Published:	Berlin, Heidelberg :Springer Berlin Heidelberg : : 2016.,
Description:	xvi, 315 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Geometry - Study and teaching. -
Online resource:	http://dx.doi.org/10.1007/978-3-662-49445-5
ISBN:	9783662494455

Elementary mathematics from an higher standpoint.. Volume II,. Geometry
Klein, Felix.

Elementary mathematics from an higher standpoint.Volume II,Geometry[electronic resource] /Geometryby Felix Klein. - Berlin, Heidelberg :Springer Berlin Heidelberg :2016. - xvi, 315 p. :ill., digital ;24 cm.

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.

ISBN: 9783662494455

Standard No.: 10.1007/978-3-662-49445-5doiSubjects--Topical Terms:

562487
Geometry
--Study and teaching.

LC Class. No.: QA461 / .K4513 2016

Dewey Class. No.: 516.071

Elementary mathematics from an higher standpoint.. Volume II,. Geometry
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245 1 0 $a Elementary mathematics from an higher standpoint. $n Volume II, $p Geometry $h [electronic resource] / $c by Felix Klein.
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300 $a xvi, 315 p. : $b ill., digital ; $c 24 cm.
505 0 $a 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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