MARC Record from marc_columbia

LEADER: 02762mam a2200385 a 4500
001 1985766
005 20220609043533.0
008 961119t19971997nyua b 001 0 eng
010 $a 96049166
020 $a0387949461
035 $a(OCoLC)ocm36023992
035 $9AMK5557CU
035 $a(NNC)1985766
035 $a1985766
040 $aDLC$cDLC$dOrLoB-B
050 00 $aQC20.7.T65$bN33 1997
082 00 $a516.3/62$221
100 1 $aNaber, Gregory L.,$d1948-$0http://id.loc.gov/authorities/names/n87944172
245 10 $aTopology, geometry, and gauge fields :$bfoundations /$cGregory L. Naber.
260 $aNew York :$bSpringer,$c[1997], ©1997.
300 $axviii, 396 pages :$billustrations ;$c25 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aTexts in applied mathematics ;$v25
504 $aIncludes bibliographical references (p. [379]-382) and index.
505 00 $gCh. 0.$tPhysical and Geometrical Motivation --$gCh. 1.$tTopological Spaces --$gCh. 2.$tHomotopy Groups --$gCh. 3.$tPrincipal Bundles --$gCh. 4.$tDifferentiable Manifolds and Matrix Lie Groups --$gCh. 5.$tGauge Fields and Instantons --$gAppendix.$tSU (2) and SO (3).
520 $aThis is a book on topology and geometry, and like any book on subjects as vast as these, it has a point of view that guided the selection of topics. The author's point of view is that the rekindled interest that mathematics and physics have shown in each other of late should be fostered, and that this is best accomplished by allowing them to cohabit.
520 8 $aThe goal is to weave together rudimentary notions from the classical gauge theory of physicists with the topological and geometrical concepts that became the mathematical models of these notions. The reader is assumed to have a minimal understanding of what an electromagnetic field is, a willingness to accept a few of the more elementary pronouncements of quantum mechanics, and a solid background in real analysis and linear algebra with some of the vocabulary of modern algebra.
520 8 $aTo such a reader we offer an excursion that begins with the definition of a topological space and finds its way eventually to the moduli space of anti-self-dual SU(2) -connections on S[subscript 4] with instanton number -1.
650 0 $aTopology.$0http://id.loc.gov/authorities/subjects/sh85136089
650 0 $aGeometry.$0http://id.loc.gov/authorities/subjects/sh85054133
650 0 $aGauge fields (Physics)$0http://id.loc.gov/authorities/subjects/sh85053534
650 0 $aMathematical physics.$0http://id.loc.gov/authorities/subjects/sh85082129
830 0 $aTexts in applied mathematics ;$v25.$0http://id.loc.gov/authorities/names/n86729581
852 00 $bmat$hQC20.7.T65$iN33 1997