LEADER 00939nam0-22003011i-450- 001 990001823830403321 005 20021010 035 $a000182383 035 $aFED01000182383 035 $a(Aleph)000182383FED01 035 $a000182383 100 $a20021010d--------km-y0itay50------ba 101 0 $aita 200 1 $aAlcuni risultati ottenuti dallo studio del terremoto calabrese dell' 8 settembre 1905$fG. Mercalli. 210 $aNapoli$c...$d1906. 215 $a9 p.$d28 cm 300 $aEstr. da: Atti dell' Accademia Pontaniana, 26. 610 0 $aTerremoti 676 $a551.22 700 1$aMercalli,$bGiuseppe$f<1850-1914>$06682 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990001823830403321 952 $a60 DONO COMES 19/14$b36541$fFAGBC 959 $aFAGBC 996 $aAlcuni risultati ottenuti dallo studio del terremoto calabrese dell' 8 settembre 1905$9412996 997 $aUNINA DB $aING01 LEADER 03182nam0 22004573i 450 001 VAN00262663 005 20260626031805.783 017 70$2N$a9783662215630 035 40$a1591485649 100 $a20230830d1983 |0itac50 ba 101 $aeng 102 $aDE 105 $a|||| ||||| 181 $ai$b e 182 $ab 183 $acr 200 1 $aDifferential Geometry in the Large$eSeminar Lectures New York University 1946 and Stanford University 1956$fHeinz Hopf 210 $aBerlin$cSpringer$d1983 215 $avii, 189 p.$d24 cm 327 $aThese notes consist of two parts: 1) Selected Topics in Geometry, New York University 1946, Notes by Peter Lax. 2) Lectures on Differential Geometry in the Large, Stanford University 1956, Notes by J. W. Gray. They are reproduced here with no essential change. Heinz Hopf was a mathematician who recognized important mathema­ tical ideas and new mathematical phenomena through special cases. In the simplest background the central idea or the difficulty of a problem usually becomes crystal clear. Doing geometry in this fashion is a joy. Hopf's great insight allows this approach to lead to serious ma­ thematics, for most of the topics in these notes have become the star­ ting-points of important further developments. I will try to mention a few. It is clear from these notes that Hopf laid the emphasis on poly­ hedral differential geometry. Most of the results in smooth differen­ tial geometry have polyhedral counterparts, whose understanding is both important and challenging. Among recent works I wish to mention those of Robert Connelly on rigidity, which is very much in the spirit of these notes (cf. R. Connelly, Conjectures and open questions in ri­ gidity, Proceedings of International Congress of Mathematicians, Hel­ sinki 1978, vol. 1, 407-414 ) ? A theory of area and volume of rectilinear'polyhedra based on de­ compositions originated with Bolyai and Gauss. 461 1$1001VAN00102250$12001 $aLecture notes in mathematics$1210 $aBerlin [etc.]$cSpringer$v1000 606 $a53-XX$xDifferential geometry [MSC 2020]$3VANC019813$2MF 606 $a53Cxx$xGlobal differential geometry [MSC 2020]$3VANC024095$2MF 610 $aCurvature$9KW:K 610 $aDifferential geometry$9KW:K 610 $aGaussian curvature$9KW:K 610 $aGeometry$9KW:K 610 $aGlobal differential geometry$9KW:K 610 $aMean curvature$9KW:K 610 $aRiemannian manifolds$9KW:K 620 $dBerlin$3VANL000066 700 1$aHopf$bHeinz$3VANV217001$041921 712 $aSpringer $3VANV108073$4650 801 $aIT$bSOL$c20260904$gRICA 856 4 $uhttps://doi.org/10.1007/978-3-662-21563-0$zE-book ? Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o Shibboleth 899 $aBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$1IT-CE0120$2VAN08 912 $fN 912 $aVAN00262663 950 $aBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$d08DLOAD e-book 6514 $e08eMF6514 20230905 996 $aDifferential geometry in the large$979959 997 $aUNICAMPANIA