Transactions of the AMS. Year 1933. Volume 035. Number 01.


Systems of linear difference equations and expansions in series of exponential functions
R. D. Carmichael
1-28


Convergence criteria for double Fourier series
J. J. Gergen
29-63


On the numerators of the convergents of the Stieltjes continued fractions
Jacob Sherman
64-87


Three-dimensional manifolds and their Heegaard diagrams
James Singer
88-111


Non-cyclic algebras of degree and exponent four
A. Adrian Albert
112-121


On abelian fields
Leonard Carlitz
122-136


On the derivatives of Newtonian and logarithmic potentials near the acting masses
Mildred M. Sullivan
137-171


The degree of convergence of a series of Bessel functions
M. G. Scherberg
172-183


On the properties of polynomials satisfying a linear differential equation. I
I. M. Sheffer
184-214


On the resultant of a system of forms homogeneous in each of several sets of variables
Neal H. McCoy
215-233


An axiomatic basis for plane geometry
Stewart S. Cairns
234-244


Proof of the fundamental theorems on second-order cross partial derivatives
A. E. Currier
245-253


The cancellation law in the theory of congruences to a double modulus
Morgan Ward
254-260


A characterization of the closed $2$-cell
Hassler Whitney
261-273


New sets of independent postulates for the algebra of logic, with special reference to Whitehead and Russell's {\it Principia mathematica}
Edward V. Huntington
274-304


Sufficient conditions for a problem of Mayer in the calculus of variations
G. A. Bliss; M. R. Hestenes
305-326


The total variation of $g(x+h)-g(x)$
Norbert Wiener; R. C. Young
327-340