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Elementary mathematics from an advanced standpoint.

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Courier Dover Publications, Jun 18, 2004 - Mathematics - 214 pages
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.
  

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Selected pages

Contents

Introduction
1
The Grassmann Determinant Principle for the Plane
21
The Grassmann Principle for Space
29
Classification of the Elementary Configurations of Space according to their
39
Derivative Manifolds
54
Page
69
Higher Point Transformations
98
Theory of the Imaginary
117
Systematic Discussion of Geometry and Its Foundations
130
Application of Invariant Theory to Geometry
144
Foundations of Geometry
159
Index of Names
209
Copyright

Other editions - View all

Elementary Mathematics from an Advanced Standpoint: Geometry
Elementary Mathematics from an Advanced Standpoint: Geometry
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Limited preview - 2004
Elementary Mathematics from an Advanced Standpoint
Elementary Mathematics from an Advanced Standpoint, Volume 1
Felix Klein
Snippet view - 1925
Elementary mathematics from an advanced standpoint
Elementary mathematics from an advanced standpoint, Volume 2
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Snippet view - 1948
View all »

Common terms and phrases

affine geometry affine transformation ahout ahove ahsolute ahstract algehra analysis analytic geometry arhitrarily arhitrary axioms axis called coefficients comhinations complete configurations conic consider coordinate system corresponding course cross ratio curve definite directed line-segment discussion elementary Euclid Euclid's Elements euclidean euclidean geometry example expression finite formulas free vector functions fundamental given hy Grassmann hecause hecome heen hefore heginning helongs Hence homogeneous coordinates hoth hring hy means imaginary spherical circle infinitely distant infinity intersection invariant theory Leipzig linear suhstitution magnitudes manifolds mathematics metric geometry Mohius motion non-euclidean geometry numher ohtain ohviously origin parallel parallel axiom plane plane at infinity plane-magnitude polar polygon position possihle postulates principle prohlem projective geometry projective transformations quadratic quadratic form rays relation represent rotation scalar segment sense space sphere straight line suhject surface tangent tensor theorem tion translation triangle unchanged values variahles

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References from web pages

JSTOR: Elementary Mathematics from an Advanced Standpoint: Geometry
Elementary Mathematics from an advanced standpoint: Geometry. By FELIX KLEIN: translated by er HEDRICK and ca NOBLE. Pp. ix, 214. 15s. 1939. ...
links.jstor.org/ sici?sici=0025-5572(194007)2%3A24%3A260%3C222%3AEMFAAS%3E2.0.CO%3B2-M

Review: Felix Klein, Elementary Mathematics from an Advanced ...
Felix Klein, Elementary Mathematics from an Advanced Standpoint. Geometry. Translated from the third German edition by er Hedrick and ca Noble. ...
projecteuclid.org/ handle/ euclid.bams/ 1183503030

Barnes & Noble.com - Books: Elementary Mathematics from an ...
Elementary Mathematics from an Advanced Standpoint: Geometry, Klein, Felix Klein, Paperback, Book, ISBN: 0486434818, Science, Teaching & Teacher Training, ...
search.barnesandnoble.com/ Elementary-Mathematics-from-an-Advanced-Standpoint/ Felix-Klein/ e/ 9780486434810

Polyteknisk Boghandel
'Elementary Mathematics from an Advanced Standpoint - Geometry' af Felix Klein. ... Viser: Elementary Mathematics from an Advanced Standpoint - Geometry ...
www.polyteknisk.dk/ home/ Detaljer/ 9780486434810

Teaching Geometry to Artists
Elementary Mathematics from an Advanced Standpoint: Geometry. , was originally published as. volume 2 of. Elementarmathematik: vom hoeheren Standpunkte aus ...
www.springerlink.com/ index/ G8P261263766JRHH.pdf

Klein F. Elementary Mathematics from an Advanced Standpoint ...
Please wait, ожидайте 28 секунд [ Скачать m_mathematics/md_geometry and topology/Klein F. Elementary Mathematics from an Advanced Standpoint. Geometry ...
lib.org.by/ info/ M_Mathematics/ MD_Geometry%20and%20topology/ Klein%20F.%20Elementary%20Mathematics%20from%20an%20Advan...

WAYS OF SEEING
Elementary mathematics from an advanced standpoint. Geometry. Dover Publications. SMITH, wp, 1987. The Hotine Lecture. The other fellow’s language. ...
www.blackwell-synergy.com/ doi/ pdf/ 10.1111/ j.1477-9730.1990.tb00693.x

Teoremler Buraya page 2
18 Bu çalışmaların belli başlıları şöyle sıralanabilir: Felix Klein, Elementary Mathematics From An Advanced Standpoint -Geometry-, New York 1939 (F. ...
www.ogretmenlerforumu.com/ matematik_ogretmenleri/ teoremler_buraya-t630.15.html

bibliografia oggetto: 128 - Forbici di Norimberga (affinità)
F. KLEIN Elementary Mathematics from an advanced standpoint:Geometry, a cura di Hedrik-Noble, Dover Publications 1939 クライン 「高等な立場から見た初等数学 ...
math-info.criced.tsukuba.ac.jp/ museum/ MathematicalInstruments/ macchine/ 128bib.htm

mywiki.jp - amazon Wiki - 0486434818
Elementary Mathematics from an Advanced Standpoint: Geometry (Dover Books on Mathematics)↑. Elementary Mathematics from an Advanced Standpoint: Geometry ...
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About the author (2004)

1862-1953

Bibliographic information

QR code for Elementary mathematics from an advanced standpoint.
TitleElementary mathematics from an advanced standpoint.
Dover books on mathematics
AuthorFélix Klein
Editionillustrated, reprint
PublisherCourier Dover Publications, 2004
ISBN0486434818, 9780486434810
Length214 pages
Subjects ›  › 

Mathematics / Geometry / General
  
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