Issue 1

- On the Continuity of the Solid and Fluid States by and Walter Noll
- Hypo-Elasticity by and C. Truesdell
- On the Concept of Concentrated Loads and an Extension of Uniqueness Theorem in the Linear Theory of Elasticity by E. Sternberg, and R. Eubanks
- Uniqueness of Axially Symmetric Subsonic Flow past a Finite Body by David Gilbarg, and James Serrin
- Transonic Flow past Finite Wedges by A. Mackie, and D. Pack
- Gravitational Waves and One-Dimensional Einsteinian Gas-Dynamics by and G. McVittie

- A Minimax Theory for Overdamped Networks by and R. Duffin
- Radiation Patterns and Radiation Fields by and Claus Muller
- The Elementary Basic Principles of the Unified Theory of Relativity. B_2 by and Vaiclav Hlavaty
- Uber das Eigenwertproblem der Dreidimensionalen Instabilitat Laminarer Grenzschichten an Konkaven Wanden by and Gunther Hammerlin
- Stress-Deformation Relations for Isotropic Materials by R. Rivlin, and J. Ericksen

- A Proof of the Bieberbach Conjecture for the Fourth Coefficient by P. Garabedian, and M. Schiffer
- Schlicht Functions and Linear Differential Equations of Second Order by and Choy-Tak Taam
- First Order Partial Differential Equations Containing a Small Parameter by and J. Levin
- Solution for all Values of the Time, of Initial Value Problems for the Wave Equation and for a System of Equations in Acoustics by J. Diaz, and Rolf Landshoff
- Inequalities for Eigenvalues of Membranes and Plates by and L. Payne

- Analytical Studies Related to the Maxwell-Boltzmann Equation by and Dietrich Morgenstern
- The Explicit Solution of a Free Boundary Problem Involving Surface Tension by and E. McLeod, Jr.
- Approximately Planar Rigid Body Motion by and Francis Callahan, Jr.
- Su Movimenti di Tipo Browniano by and Antonio Pignedoli
- Explicit Remainder Terms for Some Asymptotic Series by and J. Rosser

- Die Herleitung der Grundgleichungen der Thermomechanik der Kontinua aus der Statistischen Mechanik by and Walter Noll
- On the Virial Series of the Ideal Bose-Einstein Gas by and W. Fuchs
- The Elementary Basic Principles of the Unified Theory of Relativity B_3 by and Vaiclav Hlavaty
- Further Remarks on the Stress-Deformation Relations for Isotropic Materials by and R. Rivlin
- The Differential Equations of the Stream Lines for Compressible Gas Flow by B. Bernstein, and T. Thomas
- Uniqueness Theorems for the Tricomi Problem. II by and M. Protter
- Contour Integral Solutions of a Class of Differential Equations by and A. Mackie
- On the Convergence of an Approximation Method of M. J. Lighthill by and Wolfgang Wasow
- On Asymptotically Linear Second-Order Oscillations by and F. Atkinson
- On the Perturbation of a Periodic Solution when the Variational System has Non-Trivial Periodic Solutions by and D. Lewis

- Examples Illustrating Expansion Procedures for the Navier-Stokes Equations by P. Lagerstrom, and J. Cole
- On Representation of Stream Functions of Subsonic and Supersonic Flows of Compressible Fluids by and Stefan Bergman
- On a Class of Partial Differential Equations by and Erwin Kreyszig
- Remarks on Transforms and Boundary Value Problems by and P. Germain
- Periodic Solutions of Singularly Perturbed Systems by L. Flatto, and N. Levinson
- Plane Strain of a Net Formed by Inextensible Cords by and R. Rivlin
- On the Exact Relation between the Specific Heats of an Elastic Solid by and Piero Bordoni
- Addition Theorems for General Legendre and Gegenbauer Functions by and Peter Henrici