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Construction and Applications of Conformal Maps Proceedings of a Symposium
  • 作 者:
  • 出 版 社:National Bureau of Standards Applied Mathematics Series
  • 出版年份:1952
  • ISBN:
  • 标注页数:280 页
  • PDF页数:286 页
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1.On network methods in conformal mapping and in related problems&R.v.MISES 1

2.Flow patterns and conformal mapping of domains of higher topological structure&R.COURANT 7

3.Some industrial applications of conformal mapping&H.PORITSKY 15

4.Conformal maps of electric and magnetic fields in transformers and similar apparatus&G.M.STEIN 31

5.Conformal mapping applied to electromagnetic field problems&ERNST WEBER 59

6.On the use of conformal mapping in two-dimensional problems of the theory of elasticity&I.S.SOKOLNIKOFF 71

7.Conformal mapping related to torsional rigidity,principal frequency,and electrostatic capacity&G.SZEG? 79

8.Fluid dynamics,conformal mapping,and numerical methods&ANDREW VAZSONYI 85

9.The use of conformal mapping in the study of flow phenomena at the free surface of an infinite sea&EUGENE P.COOPER 87

10.An application of conformal mapping to problems in conical supersonic flows&R.C.F.BARTELS and O.LAPORTE 91

11.On the Helmholtz problem of conformal representation&ALEXANDER WEINSTEIN 105

12.Some generalizations of conformal mapping suggested by gas dynamics&LIPMAN BERS 117

13.The use of conformal mapping to determine flows with free streamlines&DAVID M.YOUNG 125

14.Conformal mapping in aerodynamics,with emphasis on the method of Successive conjugates&I.E.GARRICK 137

15.On the convergence of Theodorsen's and Garrick's method of conformal mapping&A.M.OSTROWSKI 149

16.On a discontinuous analogue of Theodorsen's and Garrick's method&A.M.OSTROWSKI 165

17.On conformal mapping of variable regions&S.E.WARSCHAWSKI 175

18.A variational method for simply connected domains&A.C.SCHAEFFER and D.C.SPENCER 189

19.Some remarks on variational methods applicable to multiply connected domains&M.SCHIFFER and D.C.SPENCER 193

20.The theory of Kernel functions in conformal mapping&S.BERGMAN and M.SCHIFFER 199

21.A new proof of the Riemann mapping theorem&P.R.GARABEDIAN 207

22.The Kernel function and the construction of conformal maps&ZEEV NEHARI 215

23.An approximate method for conformal mapping&LEE H.SWINFORD 225

24.On the effective determination of conformal mapping&MAX SHIFFMAN 227

25.The difference equation method for solving the Dirichlet problem&P.C.ROSENBLOOM 231

26.Relaxation methods as ancillary techniques&RICHARD SOUTHWELL 239

27.Conformal invariants&LARS V.AHLFORS and A.BEURLING 243

28.On subordination in complex variable theory&E.F.BECKENBACH and E.W.GRAHAM 247

29.Asymptotic developments at the confluence of boundary conditions&HANS LEWY 255

30.Monodiffric functions&RUFUS ISAACS 257

31.Recent contributions of the Hungarian school to conformal mapping&G.SZEG? 267

32.Bibliography of numerical methods in conformal mapping&W.SEIDEL 269

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