The Geometry of Minkowski Spacetime

Gregory L. Naber

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Language: English

Published by Springer, 1992

0387978488 / 9780387978482

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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%u2019s 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%u2019s 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: %u201C. a valuable contribution to the pedagogical literature which will be enjoyed by all who delight in precise mathematics and physics.%u201D (American Mathematical Society, 1993) %u201CWhere many physics texts explain physical phenomena by means of mathematical models, here a rigorous and detailed mathematical development is accompanied by precise physical interpretations.%u201D (CHOICE, 1993) %u201C. his talent in choosing the most significant results and ordering them within the book can%u2019t be denied. The reading of the book is, really, a pleasure.%u201D (Dutch Mathematical Society, 1993) Piece(s) of the spine missing. Due to age and/or environmental conditions, the pages of this book have darkened. Please note the image in this listing is a stock photo and may not match the covers of the actual item.…

Seller Inventory # 123807601

Title
The Geometry of Minkowski Spacetime
Author
Gregory L. Naber
Publisher
Springer
Publication year
1992
Condition
Good
Dust jacket
No Jacket
Book Type
Book
Binding
Hardcover
Language
English
ISBN 10
0387978488
ISBN 13
9780387978482

Library House Internet Sales

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