Elementary Mathematics from an Advanced Standpoint: Geometry - Brossura

Libro 33 di 303: Dover Books on Mathematics

Klein, Felix

 
9780486434810: Elementary Mathematics from an Advanced Standpoint: Geometry
Brossura
ISBN 10: 0486434818 ISBN 13: 9780486434810
Casa editrice: Dover Pubns, 2004

Sinossi

"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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti

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

Product Description

This text begins with the simplest geometric manifolds, the Grassmann determinant principle for the plane and the Grassmann principle for space; and more. Also explores affine and projective transformations; higher point transformations; transformations with change of space element; and the theory of the imaginary. Concludes with a systematic discussion of geometry and its foundations. 1939 edition. 141 figures.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Dover Pubns
Data di pubblicazione
2004
Lingua
Inglese
ISBN 10 
0486434818
ISBN 13 
9780486434810
Rilegatura
Copertina flessibile
Numero di pagine
214
Contatto del produttore
non disponibile
Persona responsabile
Soc. Agr. La Raia Ss
http://www.la-raia.it

Strada Monterotondo, 79
Novi Ligure
15067
Italia

Altre edizioni note dello stesso titolo

9780486434803: Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis

Edizione in evidenza

ISBN 10:  048643480X ISBN 13:  9780486434803
Casa editrice: Dover Pubns, 2004
Brossura