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H. Jerome Keisler
Alternative spellings: Howard Jerome Keisler H. J. Keisler G. Kejsler
Howard Jerome Keisler (born 3 December 1936) is an American mathematician, currently professor emeritus at University of Wisconsin–Madison. His research has included model theory and non-standard analysis. His Ph.D. advisor was Alfred Tarski at Berkeley; his dissertation is Ultraproducts and Elementary Classes (1961). 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 (of Leon Henkin) to what are now called . He is also known for the Rudin–Keisler ordering along with Mary Ellen Rudin. He held the named chair of 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, , 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 hardware and software, and , a database researcher at IBM Almaden Research Center. In 2012 he became a fellow of the American Mathematical Society. His son Jeffrey Keisler is a Fulbright Distinguished Chair at the University of Massachusetts, Boston, College of Management. (Source: DBPedia)
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