Orthogonality and Spacetime Geometry
joulu 2012 · Springer Science & Business Media
E-kirja
194
sivuja
reportArvioita ja arvosteluja ei ole vahvistettu Lue lisää
Tietoa tästä e-kirjasta
This book examines the geometrical notion of orthogonality, and shows how to use it as the primitive concept on which to base a metric structure in affine geometry. The subject has a long history, and an extensive literature, but whatever novelty there may be in the study presented here comes from its focus on geometries hav ing lines that are self-orthogonal, or even singular (orthogonal to all lines). The most significant examples concern four-dimensional special-relativistic spacetime (Minkowskian geometry), and its var ious sub-geometries, and these will be prominent throughout. But the project is intended as an exercise in the foundations of geome try that does not presume a knowledge of physics, and so, in order to provide the appropriate intuitive background, an initial chapter has been included that gives a description of the different types of line (timelike, spacelike, lightlike) that occur in spacetime, and the physical meaning of the orthogonality relations that hold between them. The coordinatisation of affine spaces makes use of constructions from projective geometry, including standard results about the ma trix represent ability of certain projective transformations (involu tions, polarities). I have tried to make the work sufficiently self contained that it may be used as the basis for a course at the ad vanced undergraduate level, assuming only an elementary knowledge of linear and abstract algebra.
Arvioi tämä e-kirja
Kerro meille mielipiteesi.
Tietoa lukemisesta
Älypuhelimet ja tabletit
Asenna Google Play Kirjat ‑sovellus Androidille tai iPadille/iPhonelle. Se synkronoituu automaattisesti tilisi kanssa, jolloin voit lukea online- tai offline-tilassa missä tahansa oletkin.
Kannettavat ja pöytätietokoneet
Voit kuunnella Google Playsta ostettuja äänikirjoja tietokoneesi selaimella.
Lukulaitteet ja muut laitteet
Jos haluat lukea kirjoja sähköisellä lukulaitteella, esim. Kobo-lukulaitteella, sinun täytyy ladata tiedosto ja siirtää se laitteellesi. Siirrä tiedostoja tuettuihin lukulaitteisiin seuraamalla ohjekeskuksen ohjeita.
