The geometry of Minkowski spacetime : an introduction to the mathematics of the special theory of relativity
 Responsibility
 Gregory L. Naber.
 Language
 English.
 Edition
 2nd ed.
 Imprint
 New York : Springer, c2012.
 Physical description
 xvi, 324 p. : ill ; 24 cm.
 Series
 Applied mathematical sciences (SpringerVerlag New York Inc.) ; v. 92, 2012.
Access
Available online
 dx.doi.org SpringerLink
Math & Statistics Library

Stacks

Unknown
QC173.6 .N33 2012

Unknown
QC173.6 .N33 2012
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Creators/Contributors
 Author/Creator
 Naber, Gregory L., 1948
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 307309) and index.
 Publisher's 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).
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2012
 Series
 Applied mathematical sciences, 00665452 ; v. 92
 Note
 Previous edition published by Springer in 1992.
 ISBN
 9781441978370 (acidfree paper)
 1441978372 (acidfree paper)
 9781441978387 (eISBN)
 1441978380 (eISBN)