LEADER 03770nam 2200613 a 450 001 9910458324003321 005 20211123175612.0 010 $a1-281-91150-X 010 $a9786611911508 010 $a981-277-029-1 035 $a(CKB)1000000000403595 035 $a(OCoLC)646768317 035 $a(CaPaEBR)ebrary10255518 035 $a(SSID)ssj0000190884 035 $a(PQKBManifestationID)11177788 035 $a(PQKBTitleCode)TC0000190884 035 $a(PQKBWorkID)10183536 035 $a(PQKB)11402526 035 $a(MiAaPQ)EBC3050882 035 $a(WSP)00006528 035 $a(Au-PeEL)EBL3050882 035 $a(CaPaEBR)ebr10255518 035 $a(CaONFJC)MIL191150 035 $a(EXLCZ)991000000000403595 100 $a20070618d2007 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLectures on the geometry of manifolds /$fby Liviu I. Nicolaescu 205 $a2nd ed. 210 $aNew Jersey $cWorld Scientific$dc2007 215 $a1 online resource (606 p.) 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a981-277-862-4 311 $a981-270-853-7 320 $aIncludes bibliographical references (p. 579-582) and index. 327 $a1. Introduction -- 2. Natural constructions on manifolds -- 3. Calculus on manifolds -- 4. Riemannian geometry -- 5. Elements of the calculus of variations -- 6. The fundamental group and covering spaces -- 7. Cohomology -- 8. Characteristic classes -- 9. Classical integral geometry -- 10. Elliptic equations on manifolds -- 11. Dirac operators. 330 $a"The goal of this book is to introduce the reader to some of the most frequently used techniques in modern global geometry. Suited to the beginning graduate student willing to specialize in this very challenging field, the necessary prerequisite is a good knowledge of several variables calculus, linear algebra and point-set topology. The book's guiding philosophy is, in the words of Newton, that ?in learning the sciences examples are of more use than precepts?. We support all the new concepts by examples and, whenever possible, we tried to present several facets of the same issue. While we present most of the local aspects of classical differential geometry, the book has a ?global and analytical bias?. We develop many algebraic-topological techniques in the special context of smooth manifolds such as Poincaré duality, Thom isomorphism, intersection theory, characteristic classes and the Gauss?Bonnet theorem. We devoted quite a substantial part of the book to describing the analytic techniques which have played an increasingly important role during the past decades. Thus, the last part of the book discusses elliptic equations, including elliptic Lpand Hölder estimates, Fredholm theory, spectral theory, Hodge theory, and applications of these. The last chapter is an in-depth investigation of a very special, but fundamental class of elliptic operators, namely, the Dirac type operators. The second edition has many new examples and exercises, and an entirely new chapter on classical integral geometry where we describe some mathematical gems which, undeservedly, seem to have disappeared from the contemporary mathematical limelight." 606 $aGeometry, Differential 606 $aManifolds (Mathematics) 608 $aElectronic books. 615 0$aGeometry, Differential. 615 0$aManifolds (Mathematics) 676 $a516.3/62 700 $aNicolaescu$b Liviu I$067532 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910458324003321 996 $aLectures on the geometry of manifolds$9899816 997 $aUNINA LEADER 01791nas 2200481- 450 001 996280383703316 005 20220606213020.0 011 $a2326-5949 035 $a(OCoLC)900839307 035 $a(CKB)3400000000013827 035 $a(CONSER)--2015202539 035 $a(EXLCZ)993400000000013827 100 $a20150128a20uu9999 --- a 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAdvanced Satellite Multimedia Systems Conference and the ... Signal Processing for Space Communications Workshop 210 1$a[Piscataway, NJ] :$c[IEEE] 311 $a2329-7093 517 1 $aASMS/SPSC 517 1 $a... Advanced Satellite Multimedia Systems Conference 517 1 $a... Signal Processing for Space Communications Workshop 531 $aADVANCED SATELLITE MOBILE SYSTEMS 531 0 $aAdv. Satell. Multimed. Syst. Conf. Signal Process. Space Commun. Workshop 606 $aArtificial satellites$vCongresses 606 $aSignal processing$vCongresses 606 $aArtificial satellites$2fast$3(OCoLC)fst00817346 606 $aSignal processing$2fast$3(OCoLC)fst01118281 608 $aPeriodicals.$2fast 608 $aConference papers and proceedings.$2fast 615 0$aArtificial satellites 615 0$aSignal processing 615 7$aArtificial satellites. 615 7$aSignal processing. 676 $a629 712 02$aInstitute of Electrical and Electronics Engineers, 712 12$aSignal Processing for Space Communications Workshop. 906 $aCONFERENCE 912 $a996280383703316 996 $aAdvanced Satellite Multimedia Systems Conference and the ... Signal Processing for Space Communications Workshop$91886863 997 $aUNISA