George Francis Carrier (May 4, 1918 – March 8, 2002) was an engineer and physicist, and the T. Jefferson Coolidge Professor of Applied Mathematics EmeritusofHarvard University. He was particularly noted for his ability to intuitively model a physical system and then deduce an analytical solution. He worked especially in the modeling of fluid mechanics, combustion, and tsunamis.
Born in Millinocket, Maine, he received a master's in engineering degree in 1939 and a Ph.D. in 1944 from Cornell University with a dissertation in applied mechanics entitled Investigations in the Field of Aeolotropic Elasticity and the Bending of the Sectorial-Plate under the supervision of J. Norman Goodier.[1] He was co-author of a number of mathematical textbooks and over 100 journal papers.
Carrier is known for "Carrier's Rule",[5] a humorous explanation of why divergentasymptotic series often yield good approximations if the first few terms are taken even when the expansion parameter is of order one, while in the case of a convergent series many terms are needed to get a good approximation: “Divergent series converge faster than convergent series because they don't have to converge.”
^J. P. Boyd, The Devil's Invention: Asymptotic, Superasymptotic and Hyperasymptotic Series, Acta Applicandae Mathematicae: An International Survey Journal on Applying Mathematics and Mathematical Applications
56, 1-98 (1999) PDF of preprint
