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George Andrews (mathematician)

From Wikipedia, the free encyclopedia
George Eyre Andrews
Andrews in 1973
Born (1938-12-04) December 4, 1938 (age 86)
Salem, Oregon, U.S.
Alma mater
Known forRamanujan's lost notebook
Scientific career
FieldsAnalysis and Combinatorics
InstitutionsPennsylvania State University
Doctoral advisorHans Rademacher

George Eyre Andrews (born December 4, 1938)[1] is an American mathematician working in special functions, number theory, analysis and combinatorics.

Education and career

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He is currently an Evan Pugh Professor of Mathematics at Pennsylvania State University.[2][3] He did his undergraduate studies at Oregon State University[2] and received his PhD in 1964 at the University of Pennsylvania where his advisor was Hans Rademacher.[1][4]

During 2008–2009 he was president of the American Mathematical Society.[5]

Contributions

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Andrews's contributions include several monographs and over 250 research and popular articles on q-series, special functions, combinatorics and applications.[6][7] He is considered to be the world's leading expert in the theory of integer partitions.[1][8] In 1976 he discovered Ramanujan's Lost Notebook.[2] He is interested in mathematical pedagogy.[2]

His book The Theory of Partitions is the standard reference on the subject of integer partitions.[1]

He has advanced mathematics in the theories of partitions and q-series. His work at the interface of number theory and combinatorics has also led to many important applications in physics.[9]

Awards and honors

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In 2003 Andrews was elected a member of the National Academy of Sciences.[2] He was elected a Fellow of the American Academy of Arts and Sciences in 1997.[10] In 1998 he was an Invited Speaker at the International Congress of Mathematicians in Berlin.[11] In 2012 he became a fellow of the American Mathematical Society.[12]

He was given honorary doctorates from the University of Parma in 1998, the University of Florida in 2002, the University of Waterloo in 2004, SASTRA University in Kumbakonam, India in 2012, and University of Illinois at Urbana–Champaign in 2014[6][13][9]

Publications

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  • Selected Works of George E Andrews (With Commentary) (World Scientific Publishing, 2012, ISBN 978-1-84816-666-0)
  • Number Theory (Dover, 1994, ISBN 0-486-68252-8)
  • The Theory of Partitions (Cambridge University Press, 1998, ISBN 0-521-63766-X)[14]
  • Integer Partitions (with Eriksson, Kimmo) (Cambridge University Press, 2004, ISBN 0-521-84118-6)[15]
  • Ramanujan's Lost Notebook: Part I (with Bruce C. Berndt) (Springer, 2005, ISBN 0-387-25529-X)[16]
  • Ramanujan's Lost Notebook: Part II, (with Bruce C. Berndt) (Springer, 2008, ISBN 978-0-387-77765-8)
  • Ramanujan's Lost Notebook: Part III, (with Bruce C. Berndt) (Springer, 2012, ISBN 978-1-4614-3809-0)
  • Ramanujan's Lost Notebook: Part IV, (with Bruce C. Berndt) (Springer, 2013, ISBN 978-1-4614-4080-2)
  • "Special functions" by George Andrews, Richard Askey, and Ranjan Roy, Encyclopedia of Mathematics and Its Applications, The University Press, Cambridge, 1999.[17]

References

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  1. ^ a b c d Berndt, Bruce C.; Rankin, Robert Alexander, eds. (1995), Ramanujan: Letters and Commentary, History of Mathematics, vol. 9, American Mathematical Society, p. 305, Bibcode:1995rlc..book.....B, ISBN 9780821891254, Andrews is generally recognized as the world's leading authority on partitions and is the author of the foremost treatise on the subject.
  2. ^ a b c d e Inaugural Biography Article at the National Academy of Sciences.
  3. ^ Evan Pugh Professors Archived 2013-12-03 at the Wayback Machine, PSU, retrieved 2013-11-21.
  4. ^ George Andrews at the Mathematics Genealogy Project
  5. ^ AMS presidents, a timeline
  6. ^ a b O'Connor, John J.; Robertson, Edmund F., "George Andrews (mathematician)", MacTutor History of Mathematics Archive, University of St Andrews
  7. ^ The work of George Andrews: a Madison perspective – by Richard Askey, in "The Andrews Festschrift (Maratea, 1998)", Sem. Lothar. Combin. vol. 42 (1999), Art. B42b, 24 pp.
  8. ^ Alladi, Krishnaswami (2012), Ramanujan's Place in the World of Mathematics: Essays Providing a Comparative Study, Springer, p. 122, ISBN 9788132207672, George Andrews of the Pennsylvania State University, the world authority on partitions and q-geometric series.
  9. ^ a b "University of Illinois commencement ceremony to take place May 17 at Memorial Stadium (honorary doctorates for George E. Andrews and Phillip Allen Sharp)". Campus News (illinois.edu). 5 May 2014.
  10. ^ "Book of Members, 1780-2010: Chapter A" (PDF). American Academy of Arts and Sciences. Retrieved 18 April 2011.
  11. ^ Andrew, George E. (1998). "Mathematics education: Reform or renewal?". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. III. pp. 719–721.
  12. ^ List of Fellows of the American Mathematical Society, retrieved 2012-11-03.
  13. ^ Honorary doctorates for Andrews, Askey and Berndt
  14. ^ Askey, Richard (1979). "Review: George E. Andrew, The theory of partitions". Bull. Amer. Math. Soc. (N.S.). 1 (1): 203–210. doi:10.1090/s0273-0979-1979-14556-7.
  15. ^ Glass, Darren (5 April 2005). "Review of Integer Partitions by George E. Andrews and Kimmo Eriksson". MAA Reviews, Mathematical Association of America.
  16. ^ Bressoud, David (2006). "Review: Ramanujan's Lost Notebook, Part I, by George Andrews and Bruce C. Berndt" (PDF). Bull. Amer. Math. Soc. (N.S.). 43 (4): 585–591. doi:10.1090/s0273-0979-06-01110-4.
  17. ^ Wimp, Jet (2000). "Review: Special functions, by George Andrews, Richard Askey, and Ranjan Roy" (PDF). Bull. Amer. Math. Soc. (N.S.). 37 (4): 499–510. doi:10.1090/S0273-0979-00-00879-X.
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