Michael Z. Spivey
Department of Mathematics and Computer Science
University of Puget Sound

CONTENTS

  1. Education
  2. Published Articles in Mathematics
  3. Unpublished Articles in Mathematics
  4. Other Mathematics Publications
  5. Non-Mathematical Publications
  6. Interactive Fiction

EDUCATION


PUBLISHED ARTICLES

    2016
  1. The Chu-Vandermonde Identity via Leibniz's Identity for Derivatives, College Mathematics Journal, 47 (3): 219-220, 2016. Copyright 2016 Mathematical Association of America. All Rights Reserved.
  2. The Binomial Recurrence, Mathematics Magazine, 89 (3): 192-195, 2016. Copyright 2016 Mathematical Association of America. All Rights Reserved.
  3. Probabilistic Proofs of a Binomial Identity, Its Inverse, and Generalizations, American Mathematical Monthly, 123 (2): 175-180, 2016. Copyright 2016 Mathematical Association of America. All Rights Reserved.
  4. Multiplicative Functions, Generalized Binomial Coefficients, and Generalized Catalan Numbers, with Tom Edgar. Journal of Integer Sequences 19 (1): Article 16.1.6, 2016.
    2014
  5. A Combinatorial Proof for the Alternating Convolution of the Central Binomial Coefficients, American Mathematical Monthly, 121 (6): 537-540, 2014.
    2013
  6. The Lah Numbers and the nth Derivative of e1/x, with Siad Daboul, Jan Mangaldan, and Peter Taylor. Mathematics Magazine, 86 (1): 39-47, 2013.
  7. Optimal Discounts for the Online Assignment Problem. Operations Research Letters, 41: 112-115, 2013.
    2012
  8. Enumerating Lattice Paths Touching or Crossing the Diagonal at a Given Number of Lattice Points. Electronic Journal of Combinatorics, 19 (3): Article P24, 2012.
    2011
  9. On Solutions to a General Combinatorial Recurrence. Journal of Integer Sequences, 14 (9): Article 11.9.7, 2011.
  10. Asymptotic Moments of the Bottleneck Assignment Problem. Mathematics of Operations Research, 36 (2): 205-226, 2011.
  11. The Poisson Process and Associated Probability Distributions on Time Scales, with Dylan Poulsen and Robert Marks. IEEE 43rd Southeastern Symposium on System Theory (SSST): 49-54, March 2011.
    2010
  12. Cycles in War. Integers, 10: Article G2, 747-764, 2010.
  13. Visualising Continued Fractions. Mathematical Gazette, 94 (530): 284-290, 2010.
  14. Deranged Exams. College Mathematics Journal, 41 (3): 197-202, 2010.
    2009
  15. Staircase Rook Polynomials and Cayley's Game of Mousetrap. European Journal of Combinatorics, 30 (2): 532-539, 2009.
    2008
  16. A Generalized Recurrence for Bell Numbers. Journal of Integer Sequences, 11 (2): Article 08.2.5, 2008.
  17. Symmetric Polynomials, Pascal Matrices, and Stirling Matrices, with Andy Zimmer. Linear Algebra and Its Applications, 428 (4): 1127-1134, 2008.
    2007
  18. Counting Functions and Finite Differences, with Natalio Guersenzvaig. Integers, 7: Article A59, 2007.
  19. Combinatorial Sums and Finite Differences. Discrete Mathematics, 307 (24): 3130-3146, 2007.
  20. Quadratic Residues and the Frobenius Coin Problem. Mathematics Magazine, 80 (1): 64-67, 2007.
    2006
  21. Fibonacci Identities via the Determinant Sum Property. College Mathematics Journal, 37 (4): 286-289, 2006.
  22. Some Inversion Formulas for Sums of Quotients, with Natalio Guersenzvaig. Crux Mathematicorum, 32 (1): 39-43, 2006.
  23. The Euler-Maclaurin Formula and Sums of Powers. Mathematics Magazine, 79 (1): 61-65, 2006.
  24. The k-Binomial Transforms and the Hankel Transform, with Laura Steil. Journal of Integer Sequences, 9 (1): Article 06.1.1, 2006.
    2005
  25. The Humble Sum of Remainders Function. Mathematics Magazine, 78 (4): 300-305, 2005.
    2004
  26. The Dynamic Assignment Problem, with Warren Powell. Transportation Science, 38 (4): 399-419, 2004. (c) Informs
    2003
  27. Some Fixed-Point Results for the Dynamic Assignment Problem, with Warren Powell. Annals of Operations Research, 124: 15-33, 2003.

UNPUBLISHED ARTICLES


OTHER MATHEMATICS PUBLICATIONS


NON-MATHEMATICAL PUBLICATIONS


INTERACTIVE FICTION