Daniel Cunningham, lecturer, Department of Mathematics, has signed a contract with Cambridge University Press to complete and publish a second edition of his mathematics book, "Set Theory: A First Course." In the first edition, the fundamentals of abstract sets, including relations, functions, the natural numbers, order, cardinality, transfinite recursion, the axiom of choice, the ordinal numbers and cardinal numbers, are developed within the framework of axiomatic set theory.

The second edition will now contain the following new topics: set theoretic constructions of the integers, the rational numbers, the real numbers, and the hyperreals. We will also prove theorems that demonstrate that the standard definitions of limit, continuity, and the derivative have equivalent versions in the hyperreals using infinitesimals. A new final chapter will cover models of set theory and will end with a discussion on Kurt Gödel’s inner model of constructible sets and on Paul Cohen's method of forcing. The second edition will also contain solutions to all of the exercises.

Dr. Ángel González, assistant professor, Higher Education Administration and Leadership, was selected the keynote speaker for Rainbow Graduation held at Fresno City College.