| Record ID | marc_columbia/Columbia-extract-20221130-011.mrc:78805436:3029 |
| Source | marc_columbia |
| Download Link | /show-records/marc_columbia/Columbia-extract-20221130-011.mrc:78805436:3029?format=raw |
LEADER: 03029cam a22003854a 4500
001 5121675
005 20221109221633.0
008 040804t20052005riu b 001 0 eng
010 $a 2004057074
015 $aGBA491230$2bnb
016 7 $a013069527$2Uk
020 $a0821837028 (alk. paper)
035 $a(OCoLC)ocm56192379
035 $a(NNC)5121675
035 $a5121675
040 $aDLC$cDLC$dYDX$dUKM$dOCLCQ$dOrLoB-B
042 $apcc
050 00 $aQA564$b.R34 2005
082 00 $a515/.94$222
100 1 $aRamanan, S.$0http://id.loc.gov/authorities/names/nr93016459
245 10 $aGlobal calculus /$cS. Ramanan.
260 $aProvidence, R.I. :$bAmerican Mathematical Society,$c[2005], ©2005.
300 $axi, 316 pages ;$c27 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aGraduate studies in mathematics,$x1065-7339 ;$vv. 65
504 $aIncludes bibliographical references (p. 311-312) and index.
505 00 $gCh. 1.$tSheaves and differential manifolds : definitions and examples -- $gCh. 2.$tDifferential operators -- $gCh. 3.$tIntegration on differential manifolds -- $gCh. 4.$tCohomology of sheaves and applications -- $gCh. 5.$tConnections on principal and vector bundles; lifting of symbols -- $gCh. 6.$tLinear connections -- $gCh. 7.$tManifolds with additional structures -- $gCh. 8.$tLocal analysis of elliptic operators -- $gCh. 9.$tVanishing theorems and applications -- $gApp. 1.$tAlgebra -- $gApp. 2.$tTopology -- $gApp. 3.$tAnalysis.
520 1 $a"The power that analysis, topology and algebra bring to geometry has revolutionised the way geometers and physicists look at conceptual problems. Some of the key ingredients in this interplay are sheaves, cohomology, Lie groups, connections and differential operators. In Global Calculus, the appropriate formalism for these topics is laid out with numerous examples and applications by one of the experts in differential and algebraic geometry." "Ramanan has chosen an uncommon but natural path through the subject. In this almost completely self-contained account, these topics are developed from scratch. The basics of Fourier transforms, Sobolev theory and interior regularity are proved at the same time as symbol calculus, culminating in beautiful results in global analysis, real and complex. Many new perspectives on traditional and modern questions of differential analysis and geometry are the hallmarks of the book. The book is suitable for a first year graduate course on Global Analysis."--BOOK JACKET.
650 0 $aGeometry, Algebraic.$0http://id.loc.gov/authorities/subjects/sh85054140
650 0 $aDifferential operators.$0http://id.loc.gov/authorities/subjects/sh85037921
650 0 $aAnalytic spaces.$0http://id.loc.gov/authorities/subjects/sh85004789
650 0 $aGeometry, Differential.$0http://id.loc.gov/authorities/subjects/sh85054146
830 0 $aGraduate studies in mathematics ;$vv. 65.$0http://id.loc.gov/authorities/names/n92111274
852 00 $bmat$hQA564$i.R34 2005