Robert Henry Risch (born 1939) is an American mathematician who worked on computer algebra and is known for his work on symbolic integration, specifically the Risch algorithm.[1] This result was quoted as a milestone in the development of mathematics:

Calculus students worldwide depend on the algorithm, whenever they appeal to Wolfram Alpha to do their homework.[2]

He is also known for results on algebraic properties of elementary functions.[3] He received his PhD from the University of California, Berkeley in 1968[4] under the supervision of Maxwell A. Rosenlicht.[5] After his PhD, he worked at the Thomas J. Watson Research Center Mathematics of AI group[6] and, between 1970 and 1972, the Institute for Advanced Study.[7]

References

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  1. ^ Risch, Robert H. (1969). "The Problem of Integration in Finite Terms" (PDF). Transactions of the American Mathematical Society. 139: 67–189. doi:10.1090/S0002-9947-1969-0237477-8. Retrieved 8 January 2020.
  2. ^ Garcia, Stephan Ramon; Miller, Steven J. (2019). 100 years of math milestones : the Pi Mu Epsilon centennial collection. p. 302. ISBN 978-1-4704-3652-0. Retrieved 9 January 2020.
  3. ^ Risch, Robert H. (1979). "Algebraic Properties of the Elementary Functions of Analysis". American Journal of Mathematics. 101 (4): 743–759. doi:10.2307/2373917. JSTOR 2373917.
  4. ^ "Robert Henry Risch record at UC Berkeley". Robert Henry Risch. Retrieved 8 January 2020.
  5. ^ "Robert Henry Risch at Mathematics Genealogy Project". Retrieved 9 January 2020.
  6. ^ "Mathematics of AI". Retrieved 9 January 2020.
  7. ^ "Past Members: Robert Henry Risch". Institute of Advanced Studies. 9 December 2019.