Duke Mathematical Journal

Published by Duke University Press since its inception in 1935, the Duke Mathematical Journal is one of the world's leading mathematical journals. Without specializing in a small number of subject areas, it emphasizes the most active and influential areas of current mathematics.

Volume 3, Number 3

Publication Date: September 1937

The expansion theory of ordinary differential systems of the first order

Rudolph E. Langer; 383-393

Transformation of differential equations in the neighborhood of singular points

C. I. Lubin; 394-417

The minima of functionals with associated side conditions

Herman H. Goldstine; 418-425

On the zeros of Jacobi polynomials, with applications

M. S. Webster; 426-442

Rings of sets

Garrett Birkhoff; 443-454

A representation of generalized Boolean rings

N. H. McCoy and Deane Montgomery; 455-459

A structural characterization of planar combinatorial graphs

Saunders Mac Lane; 460-472

Critical curvatures in Riemannian spaces

Arthur B. Brown; 473-483

The characteristic roots of a matrix

W. V. Parker; 484-487

Completely monotone functions of the Laplace operator for torus and sphere

S. Bochner; 488-502

An analogue of the von Staudt-Clausen theorem

Leonard Carlitz; 503-517

Sums of values of a polynomial multiplied by constants

Kenneth S. Ghent; 518-528

Trigonometric approximation in the mean

E. S. Quade; 529-543

A note on non-associative algebras

N. Jacobson; 544-548