UCLA LOGIC COLLOQUIUM
                         Friday, May 15, 1998
                               4:00 p.m.
                       Mathematical Sciences 6627
                                 UCLA

                             DAVID MARKER
                  (University of Illinois at Chicago)

                    "LOGARITHMIC-EXPONENTIAL SERIES"

The logarithmic-exponential series provide a natural algebraic
nonstandard model of the field of real numbers with exponentiation in
which one can easily analyze asymptotic behavior of definable
functions.  I will show how this model can be used to answer a problem
of Hardy’s.  (This is joint work with Angus Macintyre and Lou van den
Dries.)