000 04195nam a22005055i 4500
001 978-1-4419-7838-7
003 DE-He213
005 20180115171505.0
007 cr nn 008mamaa
008 111128s2012 xxu| s |||| 0|eng d
020 _a9781441978387
_9978-1-4419-7838-7
024 7 _a10.1007/978-1-4419-7838-7
_2doi
050 4 _aQA613-613.8
050 4 _aQA613.6-613.66
072 7 _aPBMS
_2bicssc
072 7 _aPBPH
_2bicssc
072 7 _aMAT038000
_2bisacsh
082 0 4 _a514.34
_223
100 1 _aNaber, Gregory L.
_eauthor.
245 1 4 _aThe Geometry of Minkowski Spacetime
_h[electronic resource] :
_bAn Introduction to the Mathematics of the Special Theory of Relativity /
_cby Gregory L. Naber.
264 1 _aNew York, NY :
_bSpringer New York,
_c2012.
300 _aXVI, 324 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aApplied Mathematical Sciences,
_x0066-5452 ;
_v92
520 _a  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)    .
650 0 _aMathematics.
650 0 _aManifolds (Mathematics).
650 0 _aComplex manifolds.
650 0 _aPhysics.
650 0 _aGravitation.
650 1 4 _aMathematics.
650 2 4 _aManifolds and Cell Complexes (incl. Diff.Topology).
650 2 4 _aClassical and Quantum Gravitation, Relativity Theory.
650 2 4 _aMathematical Methods in Physics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781441978370
830 0 _aApplied Mathematical Sciences,
_x0066-5452 ;
_v92
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4419-7838-7
912 _aZDB-2-SMA
999 _c370350
_d370350