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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