Issue 1

- Equations du Type Parabolique Depourvues de Solutions by and J. Hadamard
- The General Temporally Discrete Markoff Process by and Eberhard Hopf
- Abel and Riesz Transforms of Series Having Bounded Partial Sums by and Ralph Agnew
- Nonexistence of Conformal Singularities in Solid Spaces by and Wm. Gustin
- Extensions in the Applicability of Riemann's Formula by and G. Ludford
- On the Axisymmetric Problem of Elasticity Theory for a Medium with Transverse Isotropy by R. Eubanks, and E. Sternberg
- The Elementary Basic Principles of the Unified Theory of Relativity. C_1: Introduction by and Vaiclav Hlavaty

- The Elementary Basic Principles of the Unified Theory of Relativity. C_2: Applications I by and Vaiclav Hlavaty
- The Stability of Viscous Flow between Rotating Cylinders in the Presence of a Radial Temperature Gradient by and S. Chandrasekhar
- On Bodies Achieving Extreme Values of the Critical Mach Number, I by D. Gilbarg, and M. Shiffman
- Limiting Behavior of Pressure Derivatives Behind Shocks in Supersonic Gas Flow by W. Brown, and T. Thomas
- Singular Perturbations of Non-Linear Systems of Differential Equations and an Associated Boundary Layer Equation by J. Levin, and Norman Levinson
- Novel Uses of Functional Equations by and R. Redheffer

- Large Elastic Deformations of Homogeneous Anisotropic Materials by J. Ericksen, and R. Rivlin
- On the Asymptotic Stability of Solutions of Parabolic Differential Equations by and R. Narasimhan
- Asymptotic Solution of Linear Hyperbolic Partial Differential Equations by and Morris Kline
- Inequalities for Certain Eigenvalues of a Membrane of Given Area by and G. Szego
- Generalizations of the Inversion Formula of Thin Airfoil Theory by H. Cheng, and N. Rott
- Applications of Analytic Continuation to the Solution of Boundary Value Problems by and P. Garabedian
- On the Phragmen-Lindelof Principle for Elliptic Differential Equations by and J. Serrin

- The Simple Wave in Rotational Gas Flow by and Derek Naylor
- New Boundary Value Problems for the Wave Equation and Equations of Mixed Type by and M. Protter
- Some Implications of Liapunov's Conditions for Stability by H. Antosiewicz, and P. Davis
- Parabolic Cylinder Functions of Large Order by A. Erdelyi, M. Kennedy, and J. McGregor

- Compatibilite des Equations de la Theorie Unitaire du Champ d'Einstein by and Andre Lichnerowicz
- The Multipole Expansion of Radiation Fields by and A. Calderon
- Essential Singularities of Solutions of a Class of Linear Partial Differential Equations in Three Variables by and Stefan Bergman
- On the Singularities of Zonal Harmonic Expansions by and G. Szego
- A Theorem on Rearrangements and Its Application to Certain Delay Differential Equations by F. Brownell, and W. Ergen
- A Theorem in the Theory of Finite Elastic Deformations by R. Rivlin, and C. Topakoglu
- Beitrage zu Theorie und Anwendung der Unstetigen Stromungen by and R. Eppler

- The Elementary Basic Principles of the Unified Theory of Relativity. C_3: Applications II by and Vaiclav Hlavaty
- Vorticity and Deformation in Fluid Mechanics. A Contribution to Their Kinematical Properties by and Ion Carstoiu
- Finite Plane Strain for Orthotropic Bodies by A. Green, and E. Wilkes
- On a Three Dimensional Transmission Problem of Electromagnetic Theory by R. Barrar, and C. Dolph
- Inequalities for a Classical Eigenvalue Problem by and Robert Weinstock
- On the Singularities of Solutions of Differential Equations of the Elliptic Type by and E. Netanyahu
- A Property of Quasi-Conformal Mappings by and Shmuel Agmon
- Non-Linear Elliptic Equations without Non-Linear Entire Solutions by and Lipman Bers
- On a Problem of Type, with Application to Elliptic Partial Differential Equations by and Robert Finn