Historical development of the Gauss-Bonnet theorem
被引量：1
Historical development of the Gauss-Bonnet theorem
摘要
A historical survey of the Gauss-Bonnet theorem from Gauss to Chern.
A historical survey of the Gauss-Bonnet theorem from Gauss to Chern.
参考文献24
-
1Heinz Hopf.über die Curvatura integra geschlossener Hyperfl?chen[J]. Mathematische Annalen . 1926 (1)
-
2Walther Dyck.Beitr?ge zur Analysis situs[J]. Mathematische Annalen . 1888 (4)
-
3Gauss C F.Disquisitiones generales circa superficies curvas,1827. 150 Years After Gauss‘‘Disquisitiones generales circa superficies curvas’,Astérisque 62 . 1979
-
4Bonnet O.Mémoire sur la théorie générale des surfaces. J de l‘Ecole Polytechnique . 1848
-
5A Mathematician and His Mathematical Work,Selected Papers of S S Chern. World Scientific Series in 20th Century Mathematics . 1996
-
6yon Dyck W.Beitr(?)ge zur analysis situs. Mathematische Annalen .
-
7Hopf H.(?)ber die curvatura integra geschlossener hyperfi(?)chen. Mathematische Annalen . 1925
-
8Hopf H.Vektorfelder in n-dimensionnlen mannifaltigkeiten. Mathematische Annalen . 1926
-
9Allendoerfer C B.The Euler number of a Riemannian manifold. American Journal of Mathematics . 1940
-
10Fenchel W.On total curvatures of Riemannian manifolds. Journal of the London Mathematical Society . 1940
-
1GONG Jing,WANG Bin,JI Zhong-Zhen.Generalized Square Conservative Multistep Finite Difference Scheme Incorporating Historical Observations[J].Atmospheric and Oceanic Science Letters,2013,6(4):223-226. 被引量：1
-
2M.Ohta,E.Uchino.The course of science and technology,and acoustics:past,present and future——turning to information acoustics[J].Chinese Journal of Acoustics,1992,11(3):213-223.
-
3汪晓勤.“奇、偶函数”考源[J].数学通报,2014,53(3):1-4. 被引量：11
-
4V.R.SINGH,Awadhesh PRASAD.Acoustoelectric effect in semiconductor materials and devices[J].Chinese Journal of Acoustics,1990,9(3):275-279.
-
5Raffaele Pisano,Ferdinando Casolaro.An Historical Inquiry on Geometry in Relativity： Reflections on Early Relationship Geometry-Physics （Part Two）[J].History Research,2012,2(1):57-65.
-
6Renata Holubova.Historical Experiments in Physics Teaching[J].US-China Education Review(A),2014,4(3):163-172.
-
7Jingzhao Zhang,Kinfai Tse,Manhoi Wong,Yiou Zhang,Junyi Zhu.A brief review of co-doping[J].Frontiers of physics,2016,11(6):81-101.
-
8王永进,任艳霞.Some problems on super-diffusions and one class of nonlinear differential equations[J].Science China Mathematics,1999,42(4):347-356.
-
9洪加威.ON SIMILARITY AND DUALITY OF COMPUTATION[J].Chinese Science Bulletin,1980,25(11):970-972.
-
10余迎松.Substrate elastic deformation due to vertical component of liquid-vapor interfacial tension[J].Applied Mathematics and Mechanics(English Edition),2012,33(9):1095-1114.
