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

Por: Catoni, Francesco [author.]Colaborador(es): Boccaletti, Dino [author.] | Cannata, Roberto [author.] | Catoni, Vincenzo [author.] | Zampetti, Paolo [author.] | SpringerLink (Online service)Tipo de material: Texto

TextoSeries SpringerBriefs in PhysicsEditor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Descripción: VIII, 114p. 28 illus. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783642179778Tema(s): Physics | Mathematics | Physics | Theoretical, Mathematical and Computational Physics | Applications of Mathematics | Classical and Quantum Gravitation, Relativity TheoryFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 530.1 Clasificación LoC:QC19.2-20.85Recursos en línea: Libro electrónico Texto

Contenidos:

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.

En: Springer eBooksResumen: 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.

Existencias ( 1 )
Notas de título ( 3 )

Existencias
Tipo de ítem	Biblioteca actual	Colección	Signatura	Copia número	Estado	Fecha de vencimiento	Código de barras
Libro Electrónico	Biblioteca Electrónica	Colección de Libros Electrónicos	QC19.2 -20.85 (Browse shelf(Abre debajo))	1	No para préstamo		375632-2001

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.