Issue 1

- Sulla Mutua Azione fra Fenomeni Acustici ed Idromagnetici by and Renato Nardini
- The Luders Band Problem by and T. Thomas
- Das Anfangswertproblem der Statistischen Mechanik by and Rudolf Kurth
- On the Regularity of the Solutions of Non-Linear Elliptic and Parabolic Systems of Partial Differential Equations by and Avner Friedman
- Uniqueness Properties in the Theory of Differential Operators of Elliptic Type by and Avner Friedman
- On Some Approximation Methods for Solutions of the Dirichlet Problem for Linear Elliptic Equations of Arbitrary Order by and Felix Browder
- Dynamic Programming and the Variation of Green's Functions by Richard Bellman, and Howard Osborn
- Properties of Solutions of Certain Differential Equations in Three Variables by and Stefan Bergman
- Representation of Functions by Convolutions by and Walter Rudin
- A Method of Speeding up Iterations with Super-Linear Convergence by and A. Ostrowski

- Symmetric Bending of Shallow Shells of Revolution by and Eric Reissner
- On the Velocity of Formation of Luders Bands by and T. Thomas
- On the Principle of Invariant Imbedding and Neutron Transport Theory. I-One-Dimensional Case by Richard Bellman, Robert Kalaba, and G. Wing
- Sufficient Conditions for the Existence of Periodic Solutions of Systems of Weakly Nonlinear First and Second Order Differential Equations by and Jack Hale
- Linear Partial Differential Systems with an Additional Differential Equation at One Point by and Avner Friedman
- New Inequalities for Entire Functions by R. Boas, Jr., and A. Schaeffer
- Potential Theory and a Generalized Jensen-Nevanlinna Formula for Functions of Several Complex Variables by and D. Lowdenslager
- On the Orthogonal Equivalence of Sets of Real Symmetric Matrices by and A. Albert
- A Theorem of Frobenius, a Theorem of Amitsur-Levitski and Cohomology Theory* by and Bertram Kostant
- On the Cohomology Ring of a Sphere Bundle by and W. Massey

- Plastic Flow and Fracture in Solids by and T. Thomas
- Basic Principles of the Unified Field Theory of the Second Kind* by and V. Hlavaty
- On Singular Integral Equations with Logarithmic or Cauchy Kernels by and R. Mac Camy
- On Elliptic Partial Differential Equations and Uniqueness Theorems for Closed Surfaces by and Philip Hartman
- Interior Estimates for Parabolic Systems of Partial Differential Equations by and Avner Friedman
- On Rigidity Properties of Developable Surfaces by Erwin Kreyszig, and Tibor Rado
- Some Limit Theorems for Stochastic Processes by and John Lamperti

- The Method of Characteristics for a Perfect Compressible Fluid in General Relativity and Non-Steady Newtonian Mechanics by and N. Coburn
- Sopra il Problema del ``Lacet'' by and Giuseppe Colombo
- Fractional Integrals on n-Dimensional Euclidean Space by E. Stein, and Guido Weiss
- Sur l'equation integrale singuliere non lineaire et sur les proprietes d'une integrale singuliere pour les arcs non fermes by and W. Pogorzelski
- On a Non-Linear Integral Equation by and Komarath Padmavally
- Integral Equations of the Schwarzschild-Milne Type by and Philip Anselone
- Discontinuous Initial Value Problems for Symmetric Hyperbolic Linear Differential Equations by and Robert Lewis
- Asymptotic Expansion of Steady-State Solutions of Symmetric Hyperbolic Linear Differential Equations by and Robert Lewis
- The Probabilistic Method for Problems of Radiative Transfer-III. Line Formation by Coherent Scattering by and Sueo Ueno
- Linear Growth Birth and Death Processes by Samuel Karlin, and James McGregor

- Kinematics of Homogeneous Turbulence by Garrett Birkhoff, and J. de Feriet
- Degenerate Waves in Unsteady Gas Flow by and D. Naylor
- Une Mecanique des Systemes Inertiaux. Une Theorie de la Gravitation. Une Mecanique des Petites Distances by and O. Onicescu
- Invariant Imbedding and Neutron Transport Theory II-Functional Equations by Richard Bellman, Robert Kalaba, and G. Wing
- Solution of a Time-Dependent, One-Dimensional Neutron Transport Problem by and G. Wing
- On an Estimate for the Curvature of Minimal Surfaces z = z(x, y)* by and Johannes Nitsche
- Boundary Estimates for Second Order Parabolic Equations and Their Applications by and Avner Friedman
- On Quasi-Linear Parabolic Equations of the Second Order by and Avner Friedman
- Some Extremal Problems for a New Class of Univalent Functions by and Vikramaditya Singh
- A Note on Three Dimensional Simple Lie Algebras by and N. Jacobson

- Basic Principles of the Unified Field Theory of the Second Kind, II by and V. Hlavaty
- Einstein's Connections II. Nondegenerate Case by and R. Mishra
- Plastic Disturbances Whose Speed of Propagation is Less than the Velocity of a Shear Wave by and T. Thomas
- Incompressible Systems by L. Helms, and C. Putnam
- Continuation of Biharmonic Functions Across Circular Arcs by and James Bramble
- The Kernel-Function and Conformal Invariants by and Bernard Epstein
- A Class of Quasi-Pseudo-Conformal Transformations in the Theory of Functions of Two Complex Variables by and Stefan Bergman
- Interpolation Problems for Functions of Several Complex Variables by and George Springer
- Some Compact Solvmanifolds and Locally Affine Spaces by and Louis Auslander
- Representation of a Markovian Semigroup and Its Infinitesimal Generator by and Edward Nelson