The Geometry of Minkowski Spacetime: An Introduction to the Mathematics of the Special Theory of Relativity

Gregory Lnaber

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Langue : anglais

Edité par Dover Publications Inc., 2003

0486432351 / 9780486432359

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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).…

N° de réf. du vendeur 00109083412

Titre
The Geometry of Minkowski Spacetime: An Introduction to the Mathematics of the Special Theory of Relativity
Auteur
Gregory Lnaber
Éditeur
Dover Publications Inc.
Année de publication
2003
État de l'article
Good
Reliure
Paperback
Langue
anglais
ISBN à 10 chiffres
0486432351
ISBN à 13 chiffres
9780486432359

World of Books (was SecondSale)

Montgomery, IL, Etats-Unis

Vendeur avec une évaluation de 5 étoiles

Vendeur AbeBooks depuis 20 décembre 2007

Frais d'expédition à l'intérieur de ce pays : Etats-Unis

Article4 à 12 jours ouvrés3 à 6 jours ouvrés
Premier articleEUR 0,00EUR 9,77
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