Bruce Carl Berndt (born March 13, 1939, in St. Joseph, Michigan) is an American mathematician. Berndt attended college at Albion College, graduating in 1961, where he also ran track. He received his master's and doctoral degrees from the University of Wisconsin–Madison. He lectured for a year at the University of Glasgow and then, in 1967, was appointed an assistant professor at the University of Illinois at Urbana-Champaign, where he has remained since. In 1973–74 he was a visiting scholar at the Institute for Advanced Study in Princeton.[1] He is currently (as of 2006) Michio Suzuki Distinguished Research Professor of Mathematics at the University of Illinois.
Berndt is an analytic number theorist who is probably best known for his work explicating the discoveries of Srinivasa Ramanujan.[2] He is a coordinating editor of The Ramanujan Journal and, in 1996, received an expository Steele Prize from the American Mathematical Society for his work editing Ramanujan's Notebooks.[3][4] A Lester R. Ford Award was given to Berndt, with Gerd Almkvist, in 1989[5] and to Berndt, with S. Bhargava, in 1994.[6]
In 2012 he became a fellow of the American Mathematical Society.[7] In December 2012 he received an honorary doctorate[8] from SASTRA University in Kumbakonam, India.
Selected publications
- Ramanujan: Letters and Commentary (History of Mathematics, V. 9), by Bruce C. Berndt and Robert A. Rankin (American Mathematical Society, 1995, ISBN 0-8218-0287-9)[9]
- Ramanujan: Essays and Surveys (History of Mathematics, V. 22), by Bruce C. Berndt and Robert A. Rankin (American Mathematical Society, 2001, ISBN 0-8218-2624-7)[10]
- The Continued Fractions Found in the Unorganized Portions of Ramanujan's Notebooks (Memoirs of the American Mathematical Society), by Bruce C. Berndt, L. Jacobsen, R. L. Lamphere, George E. Andrews (Editor), Srinivasa Ramanujan Aiyangar (Editor) (American Mathematical Society, 1993, ISBN 0-8218-2538-0)
- Ramanujan's Notebooks, Part I, by Bruce C. Berndt (Springer, 1985, ISBN 0-387-96110-0)[11]
- Ramanujan's Notebooks, Part II, by Bruce C. Berndt (Springer, 1999, ISBN 0-387-96794-X)[11]
- Ramanujan's Notebooks, Part III, by Bruce C. Berndt (Springer, 2004, ISBN 0-387-97503-9)[11][12]
- Ramanujan's Notebooks, Part IV, by Bruce C. Berndt (Springer, 1993, ISBN 0-387-94109-6)[11]
- Ramanujan's Notebooks, Part V, by Bruce C. Berndt (Springer, 2005, ISBN 0-387-94941-0)[11]
- Ramanujan's Lost Notebook, Part I, by George Andrews and Bruce C. Berndt (Springer, 2005, ISBN 0-387-25529-X)[13]
- Ramanujan's Lost Notebook, Part II, George E. Andrews, Bruce C. Berndt (Springer, 2008, ISBN 978-0-387-77765-8)
- Ramanujan's Lost Notebook: Part III, George E. Andrews, Bruce C. Berndt (Springer, 2012, ISBN 978-1-4614-3809-0)
- Ramanujan's Lost Notebook: Part IV, George E. Andrews, Bruce C. Berndt (Springer, 2013, ISBN 978-1-4614-4080-2)
- Ramanujan's Lost Notebook: Part V, George E. Andrews, Bruce C. Berndt (Springer, 2018, ISBN 978-3-319-77834-1)
- Number Theory in the Spirit of Ramanujan by Bruce C. Berndt (American Mathematical Society, 2006, ISBN 0-8218-4178-5)
- Number Theory and Modular Forms: Papers in Memory of Robert A. Rankin (Developments in Mathematics), by Bruce Berndt (Editor), Ken Ono (Editor) (Springer, 2003, ISBN 1-4020-7615-0)
See also
References
- ^ Berndt, Bruce Carl | Institute for Advanced Study
- ^ Berndt, Bruce C. (2001). "An overview of Ramanujan's notebooks" (PDF). Proc. Conf. Karl der Grosse; online at math.uiuc. edu/~berndt
- ^ "Steele Prize for Bruce Berndt". OP–SF Net 4.1. 15 January 1997.
- ^ "1996 Steele Prizes" (PDF). Notices of the AMS. 43 (11): 340–347. November 1996.
- ^ Almkvist, Gert; Berndt, Bruce C. (1988). "Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, π and the Ladies Diary". Amer. Math. Monthly. 95 (7): 585–608. doi:10.2307/2323302. JSTOR 2323302.
- ^ Berndt, Bruce C.; Bhargava, S. (1993). "Ramanujan—for lowbrows". Amer. Math. Monthly. 100 (7): 644–656. doi:10.2307/2323885. JSTOR 2323885.
- ^ List of Fellows of the American Mathematical Society, retrieved 2012-11-10.
- ^ Honorary doctorates for Andrews, Askey and Berndt
- ^ Alladi, Krishnaswami (October 1996). "Review of Ramanujan: Letters and Commentary by Bruce C. Berndt and Robert A. Rankin". Amer. Math. Monthly. 103: 708–713. doi:10.1007/978-81-322-0767-2_21. ISBN 978-81-322-0766-5.
- ^ Alladi, Krishnaswami (November 2003). "Review of Ramanujan: Essays and Surveys by Bruce C. Berndt and Robert A. Rankine". Amer. Math. Monthly. 110 (9): 861–865. doi:10.2307/3647820. JSTOR 3647820.
- ^ a b c d e Kupershmidt, Boris A. (2000). "And Free Lunch for All. A Review of Bruce C Berndt's Ramanujan's Notebooks, Parts I–V". Journal of Nonlinear Mathematical Physics. 7 (2): R7–R37. arXiv:math/0004188. Bibcode:2000math......4188K. doi:10.2991/jnmp.2000.7.2.11. S2CID 15782869.
- ^ Zucker, I. J. (March 1993). "Reviewed Work: Ramanujan's Notebooks Part 3 by Bruce C. Berndt". The Mathematical Gazette. 77 (478): 102–104. doi:10.2307/3619273. JSTOR 3619273.
- ^ Bressoud, David M. (October 2006). "Review: Ramanujan's lost notebook, Part I, by George E. Andrews and Bruce C. Berndt" (PDF). Bull. Amer. Math. Soc. (N.S.). 43 (4): 585–591. doi:10.1090/s0273-0979-06-01110-4.