Foundations of Special Relativity: Kinematic Axioms for Minkowski Space-Time PDF Download
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Author: J. W. Schutz
Publisher: Springer
ISBN: 3540379061
Category : Mathematics
Languages : en
Pages : 334
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Book Description
The aim of this monograph is to give an axiomatic development of Einstein's theory of special relativity from axioms which describe intuitive concepts concerning the kinematic behavior of inertial particles and light signals.
Author: J. W. Schutz
Publisher: Springer
ISBN: 3540379061
Category : Mathematics
Languages : en
Pages : 334
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Book Description
The aim of this monograph is to give an axiomatic development of Einstein's theory of special relativity from axioms which describe intuitive concepts concerning the kinematic behavior of inertial particles and light signals.
Author: John W. Schutz
Publisher:
ISBN:
Category :
Languages : en
Pages : 314
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Book Description
Author: John W. Schutz
Publisher:
ISBN:
Category : Relativity (Physics)
Languages : en
Pages :
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Book Description
Author: Gregory L. Naber
Publisher: Springer
ISBN: 9780387978482
Category : Mathematics
Languages : en
Pages : 259
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Book Description
This book offers a presentation of the special theory of relativity that is mathematically rigorous and yet spells out in considerable detail the physical significance of the mathematics. It treats, in addition to the usual menu of topics one is accustomed to finding in introductions to special relativity, a wide variety of results of more contemporary origin. These include Zeeman’s characterization of the causal automorphisms of Minkowski spacetime, the Penrose theorem on the apparent shape of a relativistically moving sphere, a detailed introduction to the theory of spinors, a Petrov-type classification of electromagnetic fields in both tensor and spinor form, a topology for Minkowski spacetime whose homeomorphism group is essentially the Lorentz group, and a careful discussion of Dirac’s famous Scissors Problem and its relation to the notion of a two-valued representation of the Lorentz group. This second edition includes a new chapter on the de Sitter universe which is intended to serve two purposes. The first is to provide a gentle prologue to the steps one must take to move beyond special relativity and adapt to the presence of gravitational fields that cannot be considered negligible. The second is to understand some of the basic features of a model of the empty universe that differs markedly from Minkowski spacetime, but may be recommended by recent astronomical observations suggesting that the expansion of our own universe is accelerating rather than slowing down. The treatment presumes only a knowledge of linear algebra in the first three chapters, a bit of real analysis in the fourth and, in two appendices, some elementary point-set topology. The first edition of the book received the 1993 CHOICE award for Outstanding Academic Title. Reviews of first edition: “... a valuable contribution to the pedagogical literature which will be enjoyed by all who delight in precise mathematics and physics.” (American Mathematical Society, 1993) “Where many physics texts explain physical phenomena by means of mathematical models, here a rigorous and detailed mathematical development is accompanied by precise physical interpretations.” (CHOICE, 1993) “... his talent in choosing the most significant results and ordering them within the book can’t be denied. The reading of the book is, really, a pleasure.” (Dutch Mathematical Society, 1993)
Author: Joachim Schröter
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110484617
Category : Science
Languages : en
Pages : 154
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Book Description
In Minkowski-Space the space-time of special relativity is discussed on the basis of fundamental results of space-time theory. This idea has the consequence that the Minkowski-space can be characterized by 5 axioms, which determine its geometrical and kinematical structure completely. In this sense Minkowski-Space is a prolegomenon for the formulation of other branches of special relativity, like mechanics, electrodynamics, thermodynamics etc. But these applications are not subjects of this book. Contents Basic properties of special relativity Further properties of Lorentz matrices Further properties of Lorentz transformations Decomposition of Lorentz matrices and Lorentz transformations Further structures on Ms Tangent vectors in Ms Orientation Kinematics on Ms Some basic notions of relativistic theories
Author: John W. Schutz
Publisher:
ISBN:
Category :
Languages : en
Pages : 314
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Book Description
Author: John W. Schutz
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author: John W. Schutz
Publisher:
ISBN:
Category :
Languages : de
Pages : 314
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Book Description
Author: Hermann Minkowski
Publisher: Minkowski Institute Press
ISBN: 0987987143
Category : Science
Languages : en
Pages : 133
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Book Description
This is the first publication (in German or English) of Hermann Minkowski's three papers on relativity together: The Relativity Principle - lecture given at the meeting of the Göttingen Mathematical Society on November 5, 1907. This is the first English translation. The Fundamental Equations for Electromagnetic Processes in Moving Bodies - lecture given at the meeting of the Göttingen Scientific Society on December 21, 1907. New translation. Space and Time - lecture given at the 80th Meeting of Natural Scientists in Cologne on September 21, 1908. New translation.
Author: Peter Lorimer
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789810202545
Category : Mathematics
Languages : en
Pages : 103
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Book Description
