Dr. Bob Phillips 

Distinguished Professor
  Emeritus


Publications:

Liouville’s Theorem, Pacific Journal of Mathematics, Vol. 28, no. 2, 1969.

On the Structure of Nonstandard Models of Arithmetic, Proceedings of the American  Mathematics Society, Vol. 27 no. 2 1971.

Elementary Extensions of Linear Topological Abelian Groups (with P.L. Sperry), Proceedings of the American Mathematical Society, Vol. 31 no. 2, 1972 .

Addition in Non-Standard Models of Arithmetic, Journal of Symbolic Logic, Vol. 37, no. 3, 1972.

Omitting Types in Arithmetic and Conservative Extensions, published as part of the Symposium on Non-standard Analysis held at the University of Victoria, Victoria, B.C., Canada, May 8-11, 1972, by the Springer-Verlag Lecture Note Series ,Vol. 369, 1974

A Minimal Extension that is not Conservative, Michigan Mathematical Journal, Vol. 21, 1974


Triangular Numbers and Binary Trees
Polynomials of the form 1+4ke+4ke^2
Triangular Numbers which are sums of two Triangular Numbers


Department of Mathematical Sciences

Email bobp@usca.edu

471 University Parkway
Aiken, SC 29801