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Elementary mathematics from an advanced standpoint : geometry ;

Author: Felix Klein; E R Hedrick; C A Noble
Publisher: New York : Macmillan Co., 1939.
Edition/Format:   Print book : EnglishView all editions and formats
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Additional Physical Format: Online version:
Klein, Felix, 1849-1925.
Elementary mathematics from an advanced standpoint.
New York, Macmillan Co., 1939
(OCoLC)568758950
Document Type: Book
All Authors / Contributors: Felix Klein; E R Hedrick; C A Noble
OCLC Number: 838034
Notes: A translation of v. 2 of the author's three-volume work entitled Elementarmathematik vom höheren standpunkte aus.
Includes index.
Description: ix, 214 pages : illustrations, diagrams ; 24 cm
Contents: pt. I. The simplest geometric manifolds. Line-segment, area, volume, as relative magnitudes --
The Grassmann determinant principle for the plane --
The Grassmann principle for space --
Classification of the elementary configurations of space according to their behavior under transformation of rectangular coordinates --
Derivative manifolds --
pt. II. Geometric transformations. Affine transformations --
Projective transformations --
Higher point transformations --
Transformations with change of space element --
Theory of the imaginary --
pt. III. Systematic discussion of geometry and its foundations. The systematic discussion --
Foundations of geometry.
Other Titles: Elementarmathematik von höheren Standpunkte aus.
Geometry
Responsibility: Felix Klein ; translated from the third German edition by E.R. Hedrick and C.A. Noble ; with 141 figures.

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