The geometry of Minkowski spacetime : an introduction to the mathematics of the special theory of relativity
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The work The geometry of Minkowski spacetime : an introduction to the mathematics of the special theory of relativity represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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The geometry of Minkowski spacetime : an introduction to the mathematics of the special theory of relativity
Resource Information
The work The geometry of Minkowski spacetime : an introduction to the mathematics of the special theory of relativity represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 The geometry of Minkowski spacetime : an introduction to the mathematics of the special theory of relativity
 Title remainder
 an introduction to the mathematics of the special theory of relativity
 Statement of responsibility
 Gregory L. Naber
 Subject

 Classical and Quantum Gravitation, Relativity Theory
 General relativity (Physics)  Mathematics
 General relativity (Physics)  Mathematics
 General relativity (Physics)  Mathematics
 Generalized spaces
 Generalized spaces
 Generalized spaces
 Manifolds and Cell Complexes (incl. Diff. Topology)
 Mathematical Methods in Physics
 Mathematical physics
 Mathematics
 Cell aggregation  Mathematics
 Language
 eng
 Summary
 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 Petrovtype 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 twovalued 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 pointset 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)
 Cataloging source
 GW5XE
 Dewey number
 530.1/1
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QC173.6
 LC item number
 .N33 2012
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 NLM call number
 Online Book
 Series statement
 Applied mathematical sciences,
 Series volume
 v. 92
Context
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