Issue 1

- The Elementary Basic Principles of the Unified Theory of Relativity. B by and Vaiclav Hlavaty
- The Solution of Problems in Second Order Elasticity Theory by and R. Rivlin
- Uniformly Moving Dislocations in Anisotropic Media by and A. Saienz
- Il Teorema di Unicita nella Dinamica dei Fluidi Compressibili by and Dario Graffi
- Uniqueness Theorems for the Tricomi Problem by and M. Protter
- Ein Satz uber die Normalen der Niveauflachen einer Potentialfunktion by Joachim Nitsche, and Johannes Nitsche
- An Asymptotic Expansion of the Whittaker Function W_{k, m}(z)* by Chieh-Chien Chang, Boa-Teh Chu, and Vivian O'Brien
- Variational Problems in the Theory of Elliptic Partial Differential Equations by P. Garabedian, and M. Schiffer

- Two Measures of Vorticity by and C. Truesdell
- Calcul de la Courbure au Sommet de l'Onde Attachee dans les Ecoulements Plans non Stationnaires by and Henri Cabannes
- Comparison Methods in the Theory of Subsonic Flows by and David Gilbarg
- Axiomatic Foundations of Classical Particle Mechanics by J. McKinsey, A. Sugar, and Patrick Suppes
- Transformations of Systems of Classical Particle Mechanics by J. McKinsey, and Patrick Suppes
- Uber Unstetigkeiten in den Ableitungen von Losungen Quasilinearer Hyperbolischer Differentialgleichungssysteme by and Johannes Nitsche
- Bounds for Solutions of Laplace's Equation Satisfying Mixed Conditions by and Carlo Pucci
- Errors of Numerical Approximation for Analytic Functions by and Philip Davis
- A Generalization of the Method of Separation of Variables by and M. Martin
- On the Propagation of Waves in Isotropic Incompressible Perfectly Elastic Materials by and J. Ericksen
- Singular Surfaces and Flow Lines in the Theory of Plasticity by and T. Thomas

- Eine Einheitliche Charakteristikenmethode zur Behandlung gemischter Unterschall-Uberschallstromungen by and Manfred Schafer
- Vector Algebras and Potentials by E. Titt, W. McCulley, Fletcher Donaldson, Roger Osborn, L. Worthington, and W. Long
- Integration Formulae and Boundary Conditions for the Hyperbolic Equation with Three Independent Variables and Regions Interior to the Cone by W. McCulley, and E. Titt
- Verallgemeinerte Multipolfelder by Reimar Lust, Arnulf Schluter, and Eleonore Trefftz
- On an Inequality for Minimal Surfaces z = z(x, y) by and Eberhard Hopf
- Uniqueness Theorems in the Unified Theory of Relativity by V. Hlavaty, and A. Saienz
- Conservation Laws in Compressible Fluid Flow and Associated Mappings by and Charles Loewner
- On Plane and Axially Symmetric Free Boundary Problems by and James Serrin
- Surface Waves of Finite Energy by J. Kampe de Feriet, and J. Kotik
- On Certain Special Solutions of the \Phi-Equation of Statistical Hydrodynamics by E. Hopf, and E. Titt
- Corrections and Additions to 'The Mechanical Foundations of Elasticity and Fluid Dynamics' by and C. Truesdell

- The Structure of Shock Waves in the Continuum Theory of Fluids by D. Gilbarg, and D. Paolucci
- Precise Theory of the Absorption and Dispersion of Forced Plane Infinitesimal Waves according to the Navier-Stokes Equations by and C. Truesdell
- Versuch einer 4-Dimensionalen Einheitlichen Feldtheorie der Gravitation und des Elektromagnetismus by and Edith Schaffhauser-Graf
- On the Eigen-Values of Certain Hermitian Forms by M. Kac, W. Murdock, and G. Szego
- Correction to the Paper 'On an Inequality for Minimal Surfaces z = z(x, y)' by and Eberhard Hopf