Issue 1

- A New Series for the Calculation of Steady Laminar Boundary Layer Flows by and Henry Gortler
- On the Propagation of Weak Discontinuities in Perfectly Plastic Solids by and T. Thomas
- On a Complementary Energy Principle by and D. Trifan
- On Linear Difference-Differential Equations with Constant Coefficients by and H. Lewy
- A Criterion for Homogeneous Linear Differential Equations with Damped Solutions by and Aurel Wintner
- Extended Asymptotic Eigenvalue Distributions for Bounded Domains in n-Space by and F. Brownell

- Debye Potentials by and Calvin Wilcox
- Non-Singular Fields in General Relativity by and W. Bonnor
- The Existence and Uniqueness of the Velocity Correlation Derivative in Chandrasekhar's Theory of Turbulence by and George Backus
- A Random Model of the Sea Surface Generated by a Hurricane by and Murray Rosenblatt
- Secondary Conditions for Linear Differential Operators of the Second Order by and Allen Sims
- On the Solutions of Nonlinear Differential Equations, I by and Choy-Tak Taam
- On Criteria for Linear Stability by and Aurel Wintner

- Extended Compatibility Conditions for the Study of Surfaces of Discontinuity in Continuum Mechanics by and T. Thomas
- On the Calculation of Steady Laminar Boundary Layer Flows with Continuous Suction by and Henry Gortler
- Asymptotic Forms for the Whittaker Functions with Both Parameters Large by and Nicholas Kazarinoff
- Relations Between Properties of Solutions of Partial Differential Equations and the Coefficients of Their Power Series Development by and Erwin Kreyszig
- On the Solutions of Nonlinear Differential Equatios, II by Elgy Johnson, and Cohy-Tak Taam
- Stability Theorems for a Class of Nonlinear Servomechanisms by L. Markus, and N. Wagner
- The Green's Function for Periodic Structures in Diffraction Theory with an Application to Parallel Plate Media, I by and Albert Heins
- The Hilbert Problem for an Airfoil in Unsteady Flow by and Patrick Leehey
- The Growth and Decay of Sonic Discontinuities in Ideal Gases by and T. Thomas
- Spinor Geometry and General Field Theory by and G. Szekeres
- Lie Algebras of Classical Type by W. Mills, and G. Seligman
- Some Remarks on Classical Lie Algebras by and George Seligman
- Classical Type Lie Algebras of Characteristic 5 and 7 by and W. Mills
- The Distribution of Shadows by H. Chernoff, and J. Daly

- Asymptotic Expansions of Navier-Stokes Solutions for Small Reynolds Numbers by Saul Kaplun, and P. Lagerstrom
- Low Reynolds Number Flow Past a Circular Cylinder by and Saul Kaplun
- Note on the Preceding Two Papers by and P. Lagerstrom
- On the Propagation and Decay of Spherical Blast Waves by and T. Thomas
- Variation of Flow Quantities Along Stream-Lines and their Principal Normals and Binormals in Three-Dimensional Gas Flows by and R. Kanwal
- The Green's Function for Periodic Structures in Diffraction Theory with an Application to Parallel Plate Media, II by and Albert Heins
- Energy Integrals for the Mixed Problem in Hyperbolic Partial Differential Equations of Higher Order by and Gideon Peyser
- On Stability of Periodic Solutions of Weakly Nonlinear Differential Systems by H. Bailey, and R. Gambill
- On Future and Past Stability in Incompressible Systems by and C. Putnam
- Imbedding of Compact, Differentiable Transformation Groups in Orthogonal Representations by and Richard Palais
- A Markovian Decision Process by and Richard Bellman
- A Mathematical Foundation for Radiative Transfer Theory by and R. Preisendorfer
- On the Change of Natural Frequencies Induced by Small Constraints by R. Duffin, and A. Schild
- The Decay of Waves in Elastic Solids by and T. Thomas
- Rising Plane Bubbles by Garrett Birkhoff, and David Carter
- On the Application of a Statistical Approximation to the Theory of Turbulent Diffusion by and P. Roberts
- Some Purely Deterministic Process by and Murry Rosenblatt
- On Coefficient Problems of Solutions of Partial Differential Equations of the Fourth Order by and Erwin Kreyszig
- Differential Operators with Perturbed Domains by and C. Swanson
- Uniqueness and Representation Theorems for Solutions of \Delta u + k^2 u = 0 in Infinite Domains by and W. Miranker
- A Uniqueness Theorem of Bernstein's Type for Minimal Surfaces in Cylindrical Coordinates by and Johannes Nitsche
- Uber ein Iterationsverfahren von Komatu zur Konformen Abbildung von Ringgebieten by and Dieter Gaier
- Measures on the Closed Subspaces of a Hilbert Space by and Andrew Gleason
- On Jordan Algebras with Two Generators by N. Jacobson, and L. Paige
- A Correction to 'Extended Compatibility Conditions for the Study of Surfaces of Discontinuity in Continuum Mechanics' by and T. Thomas