Publisher:

Dover Publications

Number of Pages:

214

Price:

12.95

ISBN:

0-486-43481-1

See the review of both volumes in the entry for Elementary Mathematics from an Advanced Viewpoint: Arithmetic, Algebra, and Analysis.

Date Received:

Wednesday, September 1, 2004

Reviewable:

Publication Date:

2004

Format:

Paperback

Audience:

Category:

General

Fernando Q. Gouvêa

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

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

Publish Book:

Modify Date:

Monday, July 2, 2007

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