Koha online

Your cart is empty.
Normal view MARC view ISBD view

Geometry of Minkowski Space-Time [electronic resource] /by Francesco Catoni, Dino Boccaletti, Roberto Cannata, Vincenzo Catoni, Paolo Zampetti.

by Catoni, Francesco [author.]; Boccaletti, Dino [author.]; Cannata, Roberto [author.]; Catoni, Vincenzo [author.]; Zampetti, Paolo [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: SpringerBriefs in Physics: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.Description: VIII, 114p. 28 illus. online resource.ISBN: 9783642179778.Subject(s): Physics | Mathematics | Physics | Theoretical, Mathematical and Computational Physics | Applications of Mathematics | Classical and Quantum Gravitation, Relativity TheoryDDC classification: 530.1 Online resources: Click here to access online
Contents:
Introduction -- Hyperbolic Numbers -- Geometrical Representation of Hyperbolic Numbers -- Trigonometry in the Hyperbolic (Minkowski) Plane -- Equilateral Hyperbolas and Triangles in the Hyperbolic Plane -- The Motions in Minkowski Space-Time (Twin Paradox) -- Some Final Considerations.
In: Springer eBooksSummary: This book provides an original introduction to the geometry of Minkowski space-time. A hundred years after the space-time formulation of special relativity by Hermann Minkowski, it is shown that the kinematical consequences of special relativity are merely a manifestation of space-time geometry. The book is written with the intention of providing students (and teachers) of the first years of University courses with a tool which is easy to be applied and allows the solution of any problem of relativistic kinematics at the same time. The book treats in a rigorous way, but using a non-sophisticated mathematics, the Kinematics of Special Relativity. As an example, the famous "Twin Paradox" is completely solved for all kinds of motions. The novelty of the presentation in this book consists in the extensive use of hyperbolic numbers, the simplest extension of complex numbers, for a complete formalization of the kinematics in the Minkowski space-time. Moreover, from this formalization the understanding of gravity comes as a manifestation of curvature of space-time, suggesting new research fields.
Tags from this library: No tags from this library for this title. Add tag(s)
Log in to add tags.
    average rating: 0.0 (0 votes)
Item type Current location Call number Status Date due Barcode
MAIN LIBRARY
QC19.2-20.85 (Browse shelf) Available

Introduction -- Hyperbolic Numbers -- Geometrical Representation of Hyperbolic Numbers -- Trigonometry in the Hyperbolic (Minkowski) Plane -- Equilateral Hyperbolas and Triangles in the Hyperbolic Plane -- The Motions in Minkowski Space-Time (Twin Paradox) -- Some Final Considerations.

This book provides an original introduction to the geometry of Minkowski space-time. A hundred years after the space-time formulation of special relativity by Hermann Minkowski, it is shown that the kinematical consequences of special relativity are merely a manifestation of space-time geometry. The book is written with the intention of providing students (and teachers) of the first years of University courses with a tool which is easy to be applied and allows the solution of any problem of relativistic kinematics at the same time. The book treats in a rigorous way, but using a non-sophisticated mathematics, the Kinematics of Special Relativity. As an example, the famous "Twin Paradox" is completely solved for all kinds of motions. The novelty of the presentation in this book consists in the extensive use of hyperbolic numbers, the simplest extension of complex numbers, for a complete formalization of the kinematics in the Minkowski space-time. Moreover, from this formalization the understanding of gravity comes as a manifestation of curvature of space-time, suggesting new research fields.

There are no comments for this item.

Log in to your account to post a comment.
@ Jomo Kenyatta University Of Agriculture and Technology Library

Powered by Koha