In the paper under review that author gives a brief introduction to axiomatic nonstandard analysis in the sense of Nelson's internal set theory. The author gives two examples of how to employ internal set theory in order to establish standard results. It is significant to note that the author establishes the fundamental theorem of algebra for nonconstant polynomials with complex coefficients without the use of continuity, complex integration and the like. Indeed, it is the reviewer's opinion that with a few extra lemmas this proof could be transferred easily into the elementary Robinson infinitesimal approach and presented during a first course in nonstandard analysis or even the infinitesimal calculus as presented by Keisler.