Education
His Doctor of Philosophy advisor was Alfred Tarski at Berkeley. His dissertation is Ultraproducts and Elementary Classes (1961).
mathematician university professor
His Doctor of Philosophy advisor was Alfred Tarski at Berkeley. His dissertation is Ultraproducts and Elementary Classes (1961).
His research has included model theory and non-standard analysis. Following Abraham Robinson"s work resolving what had long been thought to be inherent logical contradictions in the literal interpretation of Leibniz"s notation that Leibniz himself had proposed, that is, interpreting "dx" as literally representing an infinitesimally small quantity, Keisler published Elementary Calculus: An Infinitesimal Approach, a first-year calculus textbook conceptually centered on the use of infinitesimals, rather than the epsilon, delta approach, for developing the calculus. He is also known for extending the Henkin construction (of Leon Henkin) to what are now called Henkin–Keisler models.
He held the named chair of Vilas Professor of Mathematics at Wisconsin.
Among Keisler"s graduate students, several have made notable mathematical contributions, including Frederick Rowbottom who discovered Rowbottom cardinals. Several others have gone on to careers in computer science research and product development, including: Michael Benedikt, a professor of computer science at the University of Oxford, Kevin J. Compton, a professor of computer science at the University of Michigan, Curtis Tuckey, a developer of software-based collaboration environments.
Joseph Sgro, a neurologist and developer of vision processor hardware and software, and Edward L. Wimmers, a database researcher at International Business Machines Corporation Almaden Research Center. In 2012 he became a fellow of the American Mathematical Society.
American Mathematical Society.
