Elementary Mathematics from an Advanced Standpoint: Geometry

"Nothing comparable to it." — Mathematics Teacher. This comprehensive three-part treatment begins with a consideration of the simplest geometric manifolds: line-segment, area, and volume as relative magnitudes; the Grassmann determinant principle for the plane and the Grassmann principle for space; classification of the elementary configurations of space according to their behavior under transformation of rectangular coordinates; and derivative manifolds. The second section, on geometric transformations, examines affine and projective transformations; higher point transformations; transformations with change of space element; and the theory of the imaginary. The text concludes with a systematic discussion of geometry and its foundations. 1939 edition. 141 figures.
1006111306
Elementary Mathematics from an Advanced Standpoint: Geometry

"Nothing comparable to it." — Mathematics Teacher. This comprehensive three-part treatment begins with a consideration of the simplest geometric manifolds: line-segment, area, and volume as relative magnitudes; the Grassmann determinant principle for the plane and the Grassmann principle for space; classification of the elementary configurations of space according to their behavior under transformation of rectangular coordinates; and derivative manifolds. The second section, on geometric transformations, examines affine and projective transformations; higher point transformations; transformations with change of space element; and the theory of the imaginary. The text concludes with a systematic discussion of geometry and its foundations. 1939 edition. 141 figures.
16.95 In Stock
Elementary Mathematics from an Advanced Standpoint: Geometry

Elementary Mathematics from an Advanced Standpoint: Geometry

by Felix Klein
Elementary Mathematics from an Advanced Standpoint: Geometry

Elementary Mathematics from an Advanced Standpoint: Geometry

by Felix Klein

Paperback

$16.95 
  • SHIP THIS ITEM
    Qualifies for Free Shipping
  • PICK UP IN STORE
    Check Availability at Nearby Stores

Related collections and offers


Overview


"Nothing comparable to it." — Mathematics Teacher. This comprehensive three-part treatment begins with a consideration of the simplest geometric manifolds: line-segment, area, and volume as relative magnitudes; the Grassmann determinant principle for the plane and the Grassmann principle for space; classification of the elementary configurations of space according to their behavior under transformation of rectangular coordinates; and derivative manifolds. The second section, on geometric transformations, examines affine and projective transformations; higher point transformations; transformations with change of space element; and the theory of the imaginary. The text concludes with a systematic discussion of geometry and its foundations. 1939 edition. 141 figures.

Product Details

ISBN-13: 9780486434810
Publisher: Dover Publications
Publication date: 06/18/2004
Series: Dover Books on Mathematics , #2
Pages: 224
Product dimensions: 5.50(w) x 8.50(h) x 0.48(d)

Table of Contents

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
From the B&N Reads Blog

Customer Reviews