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