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Herbert Wilf

April 28, 2023

Herbert Saul Wilf (June 13, 1931 – January 7, 2012) was a mathematician, specializing in combinatorics and graph theory. He was the Thomas A. Scott Professor of Mathematics in Combinatorial Analysis and Computing at the University of Pennsylvania. He wrote numerous books and research papers. Together with Neil Calkin he founded The Electronic Journal of Combinatorics in 1994 and was its editor-in-chief until 2001.

Biography

Wilf was the author of numerous papers and books, and was adviser and mentor to many students and colleagues. His collaborators include Doron Zeilberger and Donald Knuth. One of Wilf's former students is Richard Garfield, the creator of the collectible card game Magic: The Gathering. He also served as a thesis advisor for E. Roy Weintraub in the late 1960s.

Wilf died of a progressive neuromuscular disease in 2012.[1]

Awards

In 1998, Wilf and Zeilberger received the Leroy P. Steele Prize for Seminal Contribution to Research for their joint paper, "Rational functions certify combinatorial identities" (Journal of the American Mathematical Society, 3 (1990) 147–158). The prize citation reads: "New mathematical ideas can have an impact on experts in a field, on people outside the field, and on how the field develops after the idea has been introduced. The remarkably simple idea of the work of Wilf and Zeilberger has already changed a part of mathematics for the experts, for the high-level users outside the area, and the area itself." Their work has been translated into computer packages that have simplified hypergeometric summation.

In 2002, Wilf was awarded the Euler Medal by the Institute of Combinatorics and its Applications.

Selected publications

  • Wilf, Herbert S. (1961). "Perron-Frobenius theory and the zeroes of polynomials". Proc. Amer. Math. Soc. 12 (2): 247–250. doi:10.1090/s0002-9939-1961-0120352-5. MR 0120352.
  • Wilf, Herbert S. (1961). "The argument of an entire function". Bull. Amer. Math. Soc. 67 (5): 488–489. doi:10.1090/s0002-9904-1961-10649-6. MR 0131549.
  • Wilf, H. S. (February 1961). "The Possibility of Tschebycheff Quadrature on Infinite Intervals". Proc Natl Acad Sci U S A. 47 (2): 209–213. Bibcode:1961PNAS...47..209W. doi:10.1073/pnas.47.2.209. PMC 221658. PMID 16590820.
  • Szekeres, G.; Wilf, Herbert S. (January 1968). "An inequality for the chromatic number of a graph". Journal of Combinatorial Theory. 4 (1): 1–3. doi:10.1016/S0021-9800(68)80081-X.
  • 1971: (editor with Frank Harary) Mathematical Aspects of Electrical Networks Analysis, SIAM-AMS Proceedings, Volume 3,American Mathematical Society MR0329788
  • 1998: (with N. J. Calkin) "The Number of Independent Sets in a Grid Graph", SIAM Journal on Discrete Mathematics

Books

Lecture notes

  • East Side, West Side
  • Lectures on Integer Partitions
  • Lecture Notes on Numerical Analysis (with Dennis Deturck)

See also

References

  1. ^ . Math.upenn.edu. 1931-06-13. Archived from the original on 2012-01-20. Retrieved 2012-01-14.
  2. ^ Hayman, W. K. (1991). "Review: Generatingfunctionology, by H. S. Wilf". Bull. Amer. Math. Soc. (N.S.). 25 (1): 104–106. doi:10.1090/s0273-0979-1991-16036-2.
  3. ^ Ricardo, Henry (April 22, 2006). "Review of generatingfunctionology, 3rd edition". MAA Reviews, Mathematical Association of America.
  4. ^ Whitehead Jr., Earl Glen (1976). "Book Review: Combinatorial algorithms". Bulletin of the American Mathematical Society. 82 (6): 870–872. doi:10.1090/S0002-9904-1976-14187-0. ISSN 0002-9904.

External links

April 28, 2023
herbert, wilf, herbert, saul, wilf, june, 1931, january, 2012, mathematician, specializing, combinatorics, graph, theory, thomas, scott, professor, mathematics, combinatorial, analysis, computing, university, pennsylvania, wrote, numerous, books, research, pap. Herbert Saul Wilf June 13 1931 January 7 2012 was a mathematician specializing in combinatorics and graph theory He was the Thomas A Scott Professor of Mathematics in Combinatorial Analysis and Computing at the University of Pennsylvania He wrote numerous books and research papers Together with Neil Calkin he founded The Electronic Journal of Combinatorics in 1994 and was its editor in chief until 2001 Herbert Saul WilfBornJune 13 1931Philadelphia Pennsylvania USDiedJanuary 7 2012 2012 01 07 aged 80 Wynnewood Pennsylvania USAlma materColumbia UniversityMITKnown forCombinatoricsWilf equivalenceWilf numberWilf s sequenceWilf Zeilberger pairCalkin Wilf treeStanley Wilf conjectureSzekeres Wilf numberAwardsLeroy P Steele Prize 1998 Euler Medal 2002 Scientific careerFieldsMathematicianInstitutionsUniversity of PennsylvaniaDoctoral advisorHerbert Ellis RobbinsDoctoral studentsFan ChungRichard GarfieldRodica SimionE Roy WeintraubMichael Wertheimer Contents 1 Biography 2 Awards 3 Selected publications 3 1 Books 3 2 Lecture notes 4 See also 5 References 6 External linksBiography EditWilf was the author of numerous papers and books and was adviser and mentor to many students and colleagues His collaborators include Doron Zeilberger and Donald Knuth One of Wilf s former students is Richard Garfield the creator of the collectible card game Magic The Gathering He also served as a thesis advisor for E Roy Weintraub in the late 1960s Wilf died of a progressive neuromuscular disease in 2012 1 Awards EditIn 1998 Wilf and Zeilberger received the Leroy P Steele Prize for Seminal Contribution to Research for their joint paper Rational functions certify combinatorial identities Journal of the American Mathematical Society 3 1990 147 158 The prize citation reads New mathematical ideas can have an impact on experts in a field on people outside the field and on how the field develops after the idea has been introduced The remarkably simple idea of the work of Wilf and Zeilberger has already changed a part of mathematics for the experts for the high level users outside the area and the area itself Their work has been translated into computer packages that have simplified hypergeometric summation In 2002 Wilf was awarded the Euler Medal by the Institute of Combinatorics and its Applications Selected publications EditWilf Herbert S 1961 Perron Frobenius theory and the zeroes of polynomials Proc Amer Math Soc 12 2 247 250 doi 10 1090 s0002 9939 1961 0120352 5 MR 0120352 Wilf Herbert S 1961 The argument of an entire function Bull Amer Math Soc 67 5 488 489 doi 10 1090 s0002 9904 1961 10649 6 MR 0131549 Wilf H S February 1961 The Possibility of Tschebycheff Quadrature on Infinite Intervals Proc Natl Acad Sci U S A 47 2 209 213 Bibcode 1961PNAS 47 209W doi 10 1073 pnas 47 2 209 PMC 221658 PMID 16590820 Szekeres G Wilf Herbert S January 1968 An inequality for the chromatic number of a graph Journal of Combinatorial Theory 4 1 1 3 doi 10 1016 S0021 9800 68 80081 X 1971 editor with Frank Harary Mathematical Aspects of Electrical Networks Analysis SIAM AMS Proceedings Volume 3 American Mathematical Society MR0329788 1998 with N J Calkin The Number of Independent Sets in a Grid Graph SIAM Journal on Discrete MathematicsBooks Edit A B with Doron Zeilberger and Marko Petkovsek Algorithms and Complexity generatingfunctionology 2 3 Mathematics for the Physical Sciences Combinatorial Algorithms with Albert Nijenhuis 4 Lecture notes Edit East Side West Side Lectures on Integer Partitions Lecture Notes on Numerical Analysis with Dennis Deturck See also EditLine graphReferences Edit In Memoriam Herbert S Wilf Math upenn edu 1931 06 13 Archived from the original on 2012 01 20 Retrieved 2012 01 14 Hayman W K 1991 Review Generatingfunctionology by H S Wilf Bull Amer Math Soc N S 25 1 104 106 doi 10 1090 s0273 0979 1991 16036 2 Ricardo Henry April 22 2006 Review of generatingfunctionology 3rd edition MAA Reviews Mathematical Association of America Whitehead Jr Earl Glen 1976 Book Review Combinatorial algorithms Bulletin of the American Mathematical Society 82 6 870 872 doi 10 1090 S0002 9904 1976 14187 0 ISSN 0002 9904 External links EditHerbert Wilf s homepage Wilf s obituary at the University of Pennsylvania O Connor John J Robertson Edmund F Herbert Wilf MacTutor History of Mathematics archive University of St Andrews Herbert Wilf at the Mathematics Genealogy Project The Electronic Journal of Combinatorics Retrieved from https en wikipedia org w index php title Herbert Wilf amp oldid 1149952248, wikipedia, wiki, book, books, library,

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