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Elementary Mathematics from an Advanced Standpoint: Geometry

Felix Klein
Publisher: 
Dover Publications
Publication Date: 
2004
Number of Pages: 
214
Format: 
Paperback
Price: 
12.95
ISBN: 
0-486-43481-1
Category: 
General
[Reviewed by
Fernando Q. Gouvêa
, on
10/1/2004
]
1.The Simplest Geometric Manifolds
I. Line-Segment, Area, Volume, as Relative Magnitudes
II. The Grassmann Determinant Principle for the Plane
III. The Grassmann Principle for Space
IV. Classification of the Elementary Configurations of Space According to their Behavior under Transformation of Rectangular Coordinates
V. Derivative Manifolds
2.Geometric Transformations
I. Affine Transformations
II. Projective Transformations
III. Higher Point Transformations
IV. Transformations with Change of Space Element
V. Theory of the Imaginary
3.Systematic Discussion of Geometry and Its Foundations
I. The Systematic Discussion
II. Foundations of Geometry
Indexes

Dummy View - NOT TO BE DELETED