The Resource The geometry of Minkowski spacetime : an introduction to the mathematics of the special theory of relativity, Gregory L. Naber
The geometry of Minkowski spacetime : an introduction to the mathematics of the special theory of relativity, Gregory L. Naber
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The item The geometry of Minkowski spacetime : an introduction to the mathematics of the special theory of relativity, Gregory L. Naber represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item The geometry of Minkowski spacetime : an introduction to the mathematics of the special theory of relativity, Gregory L. Naber represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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)
 Language
 eng
 Edition
 2nd ed.
 Extent
 1 online resource (xvi, 324 pages)
 Isbn
 9781441978387
 Label
 The geometry of Minkowski spacetime : an introduction to the mathematics of the special theory of relativity
 Title
 The geometry of Minkowski spacetime
 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
 http://library.link/vocab/creatorDate
 1948
 http://library.link/vocab/creatorName
 Naber, Gregory L.
 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
 http://library.link/vocab/subjectName

 General relativity (Physics)
 Generalized spaces
 Mathematics
 General relativity (Physics)
 Generalized spaces
 Label
 The geometry of Minkowski spacetime : an introduction to the mathematics of the special theory of relativity, Gregory L. Naber
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 307309) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Control code
 768245845
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (xvi, 324 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9781441978387
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 illustrations.
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)768245845
 Label
 The geometry of Minkowski spacetime : an introduction to the mathematics of the special theory of relativity, Gregory L. Naber
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 307309) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Control code
 768245845
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (xvi, 324 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9781441978387
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 illustrations.
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)768245845
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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/ThegeometryofMinkowskispacetimean/p261C1KmhDQ/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/ThegeometryofMinkowskispacetimean/p261C1KmhDQ/">The geometry of Minkowski spacetime : an introduction to the mathematics of the special theory of relativity, Gregory L. Naber</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>