Contents
Preface
ix
I. Research and Expository Papers 1
A lower bound for the chromatic number of a graph
EARL
R.
BARNES
3
The fractional parts of
~
M.
R.
CURRIE AND E.
H.
GOINS
13
Ultrafilters and Ramsey theory
DENNIS E. DAVENPORT
33
Artin's conjecture and elliptic curves
EDRAY HERBER GOINS
39
Chaoticity results for "join the shortest queue"
CARL GRAHAM
53
Maintenance of deteriorating machines with probabilistic monitoring and
silent failures
JULIE SIMMONS IVY AND STEPHEN M. POLLOCK
69
The application of numerical grid generation to problems in computational
fluid dynamics
BONITA
V.
SAUNDERS
95
The elementary residual method
DESMOND STEPHENS AND GARY HOWELL
107
The response of the upper ocean to surface buoyancy forcing: A
characteristic solution to wave propagation
MONICA
Y.
STEPHENS AND ZHENGYU LIU
117
An overview of integro-differential equations and variational Lyapunov
method
SONYA
A. F.
STEPHENS AND
V.
LAKSHMIKANTHAM
II. Papers on Philosophy of Mathematics
The art of mathematics
JERRY P. KING
vii
129
137
139
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