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

Issue 2

• 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

Issue 3

• 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

Issue 4

• 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

Issue 5

• 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

Issue 6

• 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