MAA Writing Awards
What Do I Know? A Study of Mathematical Self-Awareness
Award: George Pólya
Year of Award: 1986
Publication Information: The College Mathematics Journal, Vol. 16, No. 1, (1985), pp. 22-41
Summary: The author identifies many states of mathematical knowledge in an informal taxonomy.
About the Author: (from The College Mathematics Journal, Vol. 16, No. 1, (1985)) Philip J. Davis received his Ph.D. from Harvard under Ralph Boas. He has taught at Harvard, Maryland, the University of Utah, and Brown. He was Chief, Numerical Analysis Section, National Bureau of Standards for five years. He was a Guggenheim Fellow in 1956-57. His extensive work in numerical analysis and applied mathematics includes the books Interpolation and Approximation (1963), Mathematics of Matrices (1964), Numerical Integration (with P. Rabinowitz, 1967), Circulant Matrices (1979), The Mathematical Experience, written jointly with Reuben Hersh of the University of New Mexico, won an American Book Award in 1983. Professor Davis received the 1960 Award in Mathematics of the Washington Academy of Sciences, the MAA Chauvenet Prize in 1963, and the Lester R. Ford Award of the MAA in 1982.