Bruce Pourciau, Professor of Mathematics, is the 1999-2000 winner of the University Award for Excellence in Teaching.

Recent Courses: Research Interests:

abstract optimization theory, global analysis, mathematical and logical foundations of Newton's Principia, philosophy of mathematics, in particular intuitionism and constructive mathematics

Research articles:

"Newton and the Notion of Limit," to appear in Historia Mathematica.
"Intuitionism as a Kuhnian Revolution in Mathematics," to appear in Studies in History and Philosophy of Science.
"The Education of a Pure Mathematician," The American Mathematical Monthly, 106 (1999), 720­732.
"The Preliminary Mathematical Lemmas of Newton's Principia," Archive for History of Exact Sciences, 52 (1998), 279­295.
"Reading the Master: Newton and the Birth of Celestial Mechanics," The American Mathematical Monthly, 104 (1997), 1­19.
"Radical Principia: Book Two," Hamiltonian Dynamical Systems: History, Theory, and Applications, edited by H.S. Dumas, K.R. Meyer, and D.S. Schmidt, The IMA Volumes in Mathematics and its Applications, Volume 63, Springer-Verlag, New York, 1995, 15­37.
"Radical Principia," Archive for History of Exact Sciences, 44 (1992), 331­363.
"Newton's Solution of the One-Body Problem," Archive for History of Exact Sciences, 44 (1992), 125­146.
"On Newton's Proof That Inverse-Square Orbits Must Be Conics," Annals of Science, 48 (1991), 159­172.
"Global Invertibility of Nonsmooth Mappings," Journal of Mathematical Analysis and Applications, 131 (1988), 170­179.
"Global Properties of Proper Lipschitzian Maps," Journal on Mathematical Analysis, 14 (1983), 796­799.
"Multiplier Rules and the Separation of Convex Sets," Journal of Optimization Theory and Applications, 40 (1983), 321­331.
"Homeomorphisms and Generalized Derivatives," Journal of Mathematical Analysis and Applications, 93 (1983), 338­343.
"Univalence and Degree for Lipschitz Continuous Maps," Archive for Rational Mechanics and Analysis, 8 (1983), 289­299.
"On the Carathéodory-John Multiplier Rule," Journal of Mathematical Analysis and Applications, 87 (1982), 373­381.
"Hadamard's Theorem for Locally Lipschitz Maps," Journal of Mathematical Analysis and Applications, 85 (1982), 279­285.
"Modern Multiplier Rules," The American Mathematical Monthly, 87 (1980), 433­452.
"Analysis and Optimization of Lipschitz Continuous Mappings," Journal of Optimization Theory and Applications, 22 (1977), 311­351.
"A Generalized Derivative and Its Applications to Optimization Theory, Classical Analysis, and Global Univalence," Doctoral Dissertation, University of California ­ San Diego, April, 1976.