Categories
Technical
-- Database/SQL
-- Multimedia
-- Internet/Networking
-- Operating System
-- Programming
-- Security/Hacking
-- Science/Engineering
-- Web/HTML/CSS/Ajax
-- Unix/Linux
-- Windows
-- Mac OS X
-- Office
-- Perl/PHP/Python
-- C/C++/C#
-- .NET
-- Java
-- Hardware
-- Game Development
-- Embedded Systems
-- Graphics and Design
-- Network Programming
Study
Novel
Nonfiction
Health
Tutorial
Entertainment
Business
Magazine
Arts & Design
Audiobooks & Video Training
Cultures & Languages
Family & Home
Law & Politics
Lyrics & Music
Software Related
eBook Torrents
Uncategorized
-- Database/SQL
-- Multimedia
-- Internet/Networking
-- Operating System
-- Programming
-- Security/Hacking
-- Science/Engineering
-- Web/HTML/CSS/Ajax
-- Unix/Linux
-- Windows
-- Mac OS X
-- Office
-- Perl/PHP/Python
-- C/C++/C#
-- .NET
-- Java
-- Hardware
-- Game Development
-- Embedded Systems
-- Graphics and Design
-- Network Programming
Study
Novel
Nonfiction
Health
Tutorial
Entertainment
Business
Magazine
Arts & Design
Audiobooks & Video Training
Cultures & Languages
Family & Home
Law & Politics
Lyrics & Music
Software Related
eBook Torrents
Uncategorized
Share With Friends
Archive by Date
2012-08-06
2012-08-05
2012-08-04
2012-08-03
2012-08-02
2012-08-01
2012-07-31
2012-07-30
2012-07-29
2012-07-28
2012-08-05
2012-08-04
2012-08-03
2012-08-02
2012-08-01
2012-07-31
2012-07-30
2012-07-29
2012-07-28
Search Tag
Vaga
Bastards
Dabbah
Girardi
ending
formats
Luoma
kitchen
Wirebond
Ribbons
Scriptural
后汉书
Gans
pioner
Apostila
Geosystems
Laplink
Fanu
rescued
Figter
Behar
series
Expulsion
recovery
Juval
Conniff
Savitch
Haykin
Punktuacii
Zoboli
Darwinismus
Aprikose
Livsfarlig
声明
Dampfnudelblues
Noneuclidean
Survivability
Cooperate
WEHRMACHT
Xiaoxi
anchor
Reusken
二手房
ALiAS
委屈
Markay
Caecilians
Grachan
Freethought
CUPS
Newest
Science/Engineering Statistical Mechanics, Third Edition
Science/Engineering Essentials of Toxic Chemical Risk: Science and Society
Science/Engineering Telefoncoaching: So machen Sie aus Ihren Mitarbeitern Telefonprofis
Science/Engineering Wireless Communications (Wiley - IEEE)
Science/Engineering Posttraumatische Belastungsstörungen (German Edition)
Science/Engineering Lernplattformen in Schulen: Ansätze für E-Learning und Blended Learning in Präsenzklassen (1 Auflage)
Science/Engineering Stochastik für Einsteiger: Eine Einführung in die faszinierende Welt des Zufalls. Mit über 220 Übungsaufgaben und Lösungen {Repost}
Science/Engineering Testtheorie und Fragebogenkonstruktion (Springer-Lehrbuch)
Science/Engineering Centrifugal Pumps, 2nd Edition
Science/Engineering Computational Intelligence for Modelling and Prediction (Studies in Computational Intelligence) 1 edition {Repost}
Science/Engineering Networks, Crowds, and Markets: Reasoning About a Highly Connected World {repost}
Science/Engineering Introduction to Biophotonics (repost)
Science/Engineering The Art and Science of Psychotherapy (repost)
Science/Engineering Advances in Chemical Physics - Volume 15: Stochastic Processes in Chemical Physics
Science/Engineering "Emulsion Science: Basic Principles" (repost)
Science/Engineering Elementary Principles of Chemical Processes 3rd edition
Science/Engineering Boundary Element Analysis (repost)
Science/Engineering Collection of books on physics 2
Science/Engineering A Practical Handbook of Preparative HPLC by Donald A. Wellings (Repost)
Science/Engineering Reviews of Environmental Contamination and Toxicology 184 by George W. Ware
Science/Engineering Essentials of Toxic Chemical Risk: Science and Society
Science/Engineering Telefoncoaching: So machen Sie aus Ihren Mitarbeitern Telefonprofis
Science/Engineering Wireless Communications (Wiley - IEEE)
Science/Engineering Posttraumatische Belastungsstörungen (German Edition)
Science/Engineering Lernplattformen in Schulen: Ansätze für E-Learning und Blended Learning in Präsenzklassen (1 Auflage)
Science/Engineering Stochastik für Einsteiger: Eine Einführung in die faszinierende Welt des Zufalls. Mit über 220 Übungsaufgaben und Lösungen {Repost}
Science/Engineering Testtheorie und Fragebogenkonstruktion (Springer-Lehrbuch)
Science/Engineering Centrifugal Pumps, 2nd Edition
Science/Engineering Computational Intelligence for Modelling and Prediction (Studies in Computational Intelligence) 1 edition {Repost}
Science/Engineering Networks, Crowds, and Markets: Reasoning About a Highly Connected World {repost}
Science/Engineering Introduction to Biophotonics (repost)
Science/Engineering The Art and Science of Psychotherapy (repost)
Science/Engineering Advances in Chemical Physics - Volume 15: Stochastic Processes in Chemical Physics
Science/Engineering "Emulsion Science: Basic Principles" (repost)
Science/Engineering Elementary Principles of Chemical Processes 3rd edition
Science/Engineering Boundary Element Analysis (repost)
Science/Engineering Collection of books on physics 2
Science/Engineering A Practical Handbook of Preparative HPLC by Donald A. Wellings (Repost)
Science/Engineering Reviews of Environmental Contamination and Toxicology 184 by George W. Ware
Useful Links
Science/Engineering A Simple Non-Euclidean Geometry and Its Physical Basis
Posted on 2010-03-15
|
More Isaak Moiseevich I-Aglom, Simple Non-Euclidean Geometry and Its Physical Basis: An Elementary Account of Galilean Geometry and the Galilean Principle of Relativity Galilean geometry is the study of the x-t plane under the motions that correspond to changes in time origin and change of uniform motion coordinate system. Although we introduce this geometry on physical grounds, we quickly move on to study this geometry in its own left without any physical motivation. Distance in Galilean geometry should mean distance in space and not in time so the distance between two points is the distance between their projections on the x-axis. Therefore circles in Galilean geometry are pairs of lines t=constant. The angle between two lines can be defined in terms of the section they cut out of a circle centred at their intersection, so in this way we have angles in Galilean geometry. But circles can also be defined in terms of angles: a moving point on a circle makes a constant angle with any two fixed points of the circle (half the central angle). Applying this definition in Galilean geometry gives a new type of curve which we call cycles. Circles and cycles together are in many ways the natural analog of Euclidean circles. We see this in particular when we study circle inversion. Euclidean circle inversion can be understood in terms of stereographic projection: put the plane tangent to the south pole and the eye at the north pole and project up on the sphere, then interchange the plane and the eye and project back. In Galilean geometry the sphere must be replaced by a cylinder (since, e.g., the left of the circle t=-c, t=+c is the line t=0 and thus maps to a line at infinity). In the chapter called "Conclusion" we look at how our ideas carry over to the geometry of space-time in special relativity, again without much concern for physics. As before, we use physics only to derive the motions of our geometry, in this case the Lorentz transformations, and then quickly go on to consider things of purely geometric interest. For instance, we see that the difference in signs between space and time components of a Lorentz transformation implies that a circle will be a hyperbola x^2-t^2=0 and the analog of stereographic projection requires a hyperboloid.
Rating:
2.5 out of 5 by Book123 |
Download Links | |
Server | Status |
---|---|
Direct Download Link 1 | Alive |
Direct Download Link 2 | Alive |
Download Link (Rapidshare Link) | Alive |
Download Link (FileFactory Link) | Alive |
Download Link (MegaUpload Link) | Alive |
Download Link (Deposit File Link) | Alive |
Buy This Book at Best Price >> |
Like this article?! Give us +1: