Picture 1 of 1
Stock photo
Picture 1 of 1
Stock photo
Dover Books on Mathematics Ser.: Geometry of Geodesics by Herbert Busemann (2005, Perfect)
RNA TRADE (4748)
98.9% positive feedback
Price:
US $28.89
ApproximatelyRM 122.66
+ $19.09 shipping
Returns:
30 days return. Buyer pays for return shipping. If you use an eBay shipping label, it will be deducted from your refund amount.
Condition:
Oops! Looks like we're having trouble connecting to our server.
Refresh your browser window to try again.
About this product
Product Identifiers
PublisherDover Publications, Incorporated
ISBN-100486442373
ISBN-139780486442372
eBay Product ID (ePID)44466640
Product Key Features
Number of Pages432 Pages
Publication NameGeometry of Geodesics
LanguageEnglish
SubjectGeometry / Differential, Geometry / Algebraic
Publication Year2005
TypeTextbook
AuthorHerbert Busemann
Subject AreaMathematics
SeriesDover Books on Mathematics Ser.
FormatPerfect
Dimensions
Item Height0.9 in
Item Weight16.2 Oz
Item Length8.5 in
Item Width5.5 in
Additional Product Features
Intended AudienceCollege Audience
LCCN2004-065694
TitleLeadingThe
Dewey Edition22
IllustratedYes
Dewey Decimal513.7
Table Of ContentPrefaceI. The Basic ConceptsII. Desarguesian SpacesIII. Perpendiculars and ParallelsIV. Covering SpacesV. The Influence of the Sign of the Curvature on the GeodesicsVI. Homogenous SpacesAppendixNotes to the TextIndex
SynopsisA comprehensive approach to qualitative problems in intrinsic differential geometry, this text for upper-level undergraduates and graduate students emphasizes cases in which geodesics possess only local uniqueness properties--and consequently, the relations to the foundations of geometry are decidedly less relevant, and Finsler spaces become the principal subject. This direct approach has produced many new results and has materially generalized many known phenomena. Author Herbert Busemann begins with an explanation of the basic concepts, including compact metric spaces, convergence of point sets, motion and isometry, segments, and geodesics. Subsequent topics include Desarguesian spaces, with discussions of Riemann and Finsler spaces and Beltrami's theorem; perpendiculars and parallels, with examinations of higher-dimensional Minkowskian geometry and the Minkowski plane; and covering spaces, including locally isometric space, the universal covering space, fundamental sets, free homotopy and closed geodesics, and transitive geodesics on surfaces of higher genus. Concluding chapters explore the influence of the sign of the curvature on the geodesics, and homogenous spaces, including those with flat bisectors., A comprehensive approach to qualitative problems in intrinsic differential geometry, this text opens with an explanation of the basic concepts and proceeds to discussions of Desarguesian spaces, perpendiculars and parallels, and covering spaces. Concluding chapters examine the influence of the sign of the curvature on geodesics and homogenous spaces. 1955 edition. Includes 66 figures.
LC Classification NumberQA649.B79 2005
Be the first to write a review
