The Geometry of Minkowski Spacetime: An Introduction to the Mathematics of the Special Theory of Relativity (Applied Mathematical Sciences, Band 92) - Taschenbuch

EAN (ISBN-13): 9781441931023
ISBN (ISBN-10): 1441931023
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: Springer New York Core >1 >T
276 Seiten
Gewicht: 0,422 kg
Sprache: eng/Englisch

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ISBN/EAN: 1441931023

ISBN - alternative Schreibweisen:
1-4419-3102-3, 978-1-4419-3102-3
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: naber, minkowski, dutch book
Titel des Buches: geometry minkowski spacetime, the mathematics minkowski spacetime, the theory special relativity, minkowskis, spacetime and geometry, mink, introduction special relativity, the mathematical theory relativity

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Daten vom Verlag:

Autor/in: Gregory L. Naber
Titel: Applied Mathematical Sciences; The Geometry of Minkowski Spacetime - An Introduction to the Mathematics of the Special Theory of Relativity
Verlag: Springer; Springer US
259 Seiten
Erscheinungsjahr: 2010-12-01
New York; NY; US
Gedruckt / Hergestellt in Niederlande.
Sprache: Englisch
63,00 € (DE)
64,77 € (AT)
98,19 CHF (CH)
POD
XVI, 259 p.

BC; Hardcover, Softcover / Mathematik/Geometrie; Topologie; Verstehen; Minkowski spacetime; Penrose theorem; theory of spinors; Manifolds and Cell Complexes; Classical and Quantum Gravity; Mathematical Methods in Physics; Gravitation; Mathematische Physik; BB; EA

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)
Mathematically rigorous treatment of special relativity with precise statement of the physical interpretation Detailed introduction to the the theory of spinors in Minkowski spacetime Thorough treatments of numerous topics not generally discussed at the introductory level New chapter on de Sitter Universe