Issue 1

- Rupture of Round Bars by Tension by and T. Thomas
- Flow of a Compressible Fluid in a Hyperbolic Channel by and Hasan a–zoklav
- A Variational Problem Relating to Cooling Fins by and R. Duffin
- Convergence of Solutions of Parabolic Equations to a Steady State by and Avner Friedman
- On Quasi-Conformal Functions of Several Complex Variables by and Sin Hitotumatu
- Spectral Representation of Certain Semi-Groups of Operators by and Cassius Tulcea
- A Factorization of Positive Hermitian Matrices by N. Wiener, and E. Akutowicz
- On the Law of the Iterated Logarithm by and Mary Weiss
- On Vitali's Theorem for Complex Spaces with Singularities by and R. Gunning
- Self-Intersections of Immersed Manifolds by R. Lashof, and S. Smale
- Remarques concernant le travail ``Sur l'equation integrale singuliere non lineaire et sur les proprietes d'une integrale singuliere pour les arcs non fermes'' by and W. Pogorzelski

- Generalized Heat Transfer between Solids and Gases under Nonlinear Boundary Conditions by and Avner Friedman
- Composition of Solutions of Linear Partial Differential Equations in Two Independent Variables by and Hans Lewy
- On the Order of Zeros of One-Signed Solutions of Elliptic Equations by and R. Pederson
- The Solution and Huygens' Principle for a Singular Cauchy Problem by and David Fox
- Solutions of a Riccati Matrix Differential Equation as Functions of Initial Values by and William Reid
- An Elementary Analytic Theory of the Degree of Mapping in n-Dimensional Space by and Erhard Heinz
- Invariant Imbedding and Neutron Transport Theory III-Neutron-Neutron Collision Processes by Richard Bellman, Robert Kalaba, and G. Wing
- An Extension of a Theorem of Marcinkiewicz and Some of Its Applications by E. Stein, and Guido Weiss
- The Holonomy Group I. The Curvature Tensor by and Vaiclav Hlavaty
- A Deflation Map by and E. Weiss
- A Solvable Exceptional Jordan Algebra by and A. Albert

- On the Equation of the Vibrating String by and William Feller
- Inequalities for a Matrix Riccati Equation by and Raymond Redheffer
- Sur la Presque-Periodicite des Solutions de l'equation des Ondes Non Homogene by and S. Zaidman
- An Analogue of the Heinz-Hopf Inequality by and Robert Osserman
- Asymptotic Behavior of Solutions of Parabolic Equations by and Avner Friedman
- On Some Transformation Semigroups Invariant under Euclidean or Non-Euclidean Isometries by and Charles Loewner
- On the Conformal Capacity in Space by and Charles Loewner
- On Open Mappings in Banach Algebras by and Charles McCarthy
- On Certain Trigonometrical Expansions by and H. Lauwerier
- Discrete Potential Theory and Boundaries by and J. Doob

- The Derivation of Stress-Deformation Relations for a Stokesian Fluid by and James Serrin
- Isoperimetric Inequalities for the Nonhomogeneous Clamped Rod and Plate by and Paul Beesack
- An Existence and Uniqueness Theorem for a Nonlinear Stefan Problem by and W. Kyner
- Free Boundary Problems for Parabolic Equations I. Melting of Solids by and Avner Friedman
- On Nonlinear Differential Equations, the Maximum Operation, and Monotone Convergence by and Robert Kalaba
- Invariant Imbedding and Neutron Transport Theory IV-Generalized Transport Theory by Richard Bellman, Robert Kalaba, and G. Wing
- Functions of a Markov Process That are Markovian by and M. Rosenblatt
- The Holonomy Group II. The Lie Group Induced by a Tensor by and V. Hlavaty

- Fracture of Circular Pipes by Internal Pressure by and T. Thomas
- A Non-Linear Random Model of Gravity Waves I by and Leo Tick
- The Time-Dependent Solution for a Storage Model with Poisson Input by J. Gani, and N. Prabhu
- Stationary Processes as Shifts of Functions of Independent Random Variables by and M. Rosenblatt
- Functional Equations, Wave Propagation and Invariant Imbedding by Richard Bellman, and Robert Kalaba
- Generalized Linear Differential Systems by and William Reid
- Developments at an Analytic Corner of Solutions of Elliptic Partial Differential Equations by and R. Lehman
- A Strong Maximum Principle for Weakly L-Subharmonic Functions by and Walter Littman
- On the Integrability Conditions in the Problem of Motion in General Relativity by and John Moffat
- A Note on 'The Method of Characteristics for a Perfect Compressible Fluid in General Relativity and Non-Steady Newtonian Mechanics' by and N. Coburn
- Distributed and Lumped Networks by and R. Duffin
- Incidence Matrices and Linear Graphs by L. Auslander, and H. Trent

- Solution of an Initial Value Problem for the Multi-Velocity Neutron Transport Equation with a Slab Geometry by and George Pimbley, Jr.
- On the Foundations of Dynamic Programming by and Howard Osborn
- On the Generalized Radiation Problem of Weinstein by and J. Lions
- On the Preservation of Classes of Functions by and A. Zygmund
- The Isoperimetric Inequality and Associated Boundary Problems by and William Reid
- Positive Operators by and Samuel Karlin
- A Theorem on Integral Transforms with an Application to Prediction Theory by and J. Chover
- Integral Formulas for Hypersurfaces in Euclidean Space and Their Applications to Uniqueness Theorems by and Shiing-Shen Chern
- An Inequality for Hyperbolic Polynomials by and Lars Ga¥rding
- Multiples of Divisors by and Ernst Snapper
- Corrections to Discrete Potential Theory and Boundaries by and J. Doob