Welcome to the Home Page of
William Sit, Professor Emeritus
Department of Mathematics
The City College of The City University of New York
160 Convent Avenue, New York, NY 10031
Office: R6/202C (North Academic Center)
Office Tel: 212-650-5179
Office Fax: 212-862-0004
Email: wyscc@sci.ccny.cuny.edu
Home Page: http://scisun.sci.ccny.cuny.edu/~wyscc/ 		 

Home          Preprints          Published Papers          Unpublished Notes          Editorials          Talks and Posters
Preprints


Under Construction
  1. With Li Guo, Enumeration of Rota-Baxter Words. Revised Full Paper (June 26, 2006). Revised Extend Abstract (June 15, 2006).
  2. On Crossnumber Puzzles and The Lucas-Bonaccio Farm, 1998. Dedicated to Dr. Man-Keung Siu on his retirement. Revised Dec 30, 2006.

Published Papers

  1. With Li Guo, Enumeration of Rota-Baxter Words, Max-Planck-Institut für Mathematik Preprint Series 2006 (58), Bonn; Extended Abstract, in Proceedings ISSAC 2006, August 2006.
  2. The Ritt-Kolchin theory for differential polynomials. In Differential algebra and related topics, Proceedings of the International Workshop held at Rutgers University, Newark, NJ, November 2--3, 2000. Edited by Li Guo, Phyllis J. Cassidy, William F. Keigher and William Y. Sit., pp. 1-70, World Sci. Publishing, River Edge, NJ, 2002.
  3. Computations on Quasi Algebraic Set. In IMACS ACA'98 Electronic Proceedings.
  4. Mathematica Notebooks for a Conventional Differential Equations Course. J. Symbolic Comput. 23 (1997), no. 5 and 6, pp. 589-623.
  5. (with Georg Reinhart). Differentially homogeneous differential polynomials. In Proceedings of ISSAC96, ACM Press, 1996, pp. 212-218.
  6. (with Carrą Ferro, Giuseppa). On term-orderings and rankings. Computational algebra (Fairfax, VA, 1993), 31--77, Lecture Notes in Pure and Appl. Math., 151, Dekker, New York, 1994.
  7. An algorithm for solving parametric linear systems. J. Symbolic Comput. 13 (1992), no. 4, pp. 353-394.
  8. (with R.D.Jenks, R.S.Sutor and others) AXIOM, The Scientific Computation System, The Numerical Algorithms Group Limited, Springer-Verlag, 1992.
  9. A Theory for Parametric Linear Systems. In Proceedings, ISSAC91, (July, 1991).
  10. Some Comments on Term-Orderings in Grobner Basis Computations. ACM SIGSAM Bulletin 23 (April 1989), no. 2, pp. 34-38.
  11. On Parametric Linear Systems. IBM Research Report RC 14525, March 1989.
  12. On Goldman's algorithm for solving first-order multinomial autonomous systems. Applied algebra, algebraic algorithms and error-correcting codes (Rome, 1988), pp. 386-395, Lecture Notes in Comput. Sci., 357, Springer, Berlin, 1989.
  13. (with J. Kovacic) Technique to Enhance Data Entry Routines, Part I. Interface Age, Jan 1983, pp. 122-127.
  14. (with J. Kovacic) Technique to Enhance Data Entry Routines, Part II. Interface Age, Feb 1983, pp. 119-122.
  15. (with Goldfarb, Donald). Worst case behavior of the steepest edge simplex method. Discrete Appl. Math. 1 (1979), no. 4, pp. 277-285.
  16. (with Johnson, Joseph). On the differential transcendence polynomials of finitely generated differential field extensions. Amer. J. Math. 101 (1979), no. 6, pp. 1249-1263.
  17. Differential dimension polynomials of finitely generated extensions. Proc. Amer. Math. Soc. 68 (1978), no. 3, pp. 251-257.
  18. Well-ordering of certain numerical polynomials. Trans. Amer. Math. Soc. 212 (1975), pp. 37-45.
  19. Differential algebraic subgroups of SL(2) and strong normality in simple extensions. Amer. J. Math. 97 (1975), no. 3, pp. 627-698.
  20. (with Siu, Man Keung). On the subsemigroups of $N$. Math. Mag. 48 (1975), no. 4, pp. 225-227.
  21. Typical differential dimension of the intersection of linear differential algebraic groups. J. Algebra 32 (1974), no. 3, pp. 476-487.
Unpublished Notes

Under Construction.
  1. (with L. F. Pritchard) On Initial Value Problems of Ordinary Differential Algebraic Equations. (40 pages). Abstract: SIGSAM Bulletin 32 (1998), no. 2, p. 61.
  2. (with Lawrence Goldman) First Integrals of Dynamical Systems, (57 pages).
  3. (with Alexandru Buium) Vanishing Theorems on Kummer Surfaces, (15 pages).
  4. On Differentially Homogeneous Differential Polynomials.
Editorials

  1. Computer mathematics. Proceedings of the 6th Asian Symposium (ASCM 2003) held in Beijing, April 17--19, 2003. Edited by Ziming Li and William Sit. Lecture Notes Series on Computing, 10. World Scientific Publishing Co., Inc., River Edge, NJ, 2003. x+299 pp. ISBN: 981-238-220-8 00B25
  2. Differential algebra and related topics. Proceedings of the International Workshop held at Rutgers University, Newark, NJ, November 2--3, 2000. Edited by Li Guo, Phyllis J. Cassidy, William F. Keigher and William Y. Sit. World Scientific Publishing Co., Inc., River Edge, NJ, 2002. xiv+305 pp. ISBN: 981-02-4703-6 12-06 (12Hxx)
  3. Differential algebra and differential equations. Edited by W. Sit and M. Bronstein. J. Symbolic Comput. 28 (1999), no. 4-5. Academic Press, Amsterdam, 1999. pp. 435--736. 12-06 (34-06)
  4. (with Bronstein) Journal of Symbolic Computation Special Issue on Differential Equations and Differential Algebra, SIGSAM Bulletin 31 (1997), no. 1, p. 32.
  5. East Coast Computer Algebra day, SIGSAM Bulletin 36 (2002), no. 1, pp. 19-21.
  6. East Coast Computer Algebra day: {ECCAD 2002} Poster and Demonstration Abstracts, SIGSAM Bulletin 36 (2002), no. 3, p. 1.
Talks and Posters

Under Construction.
  1. Symbolic Computation For Fun, Education, and Research. Conference on Axiom, City College of New York, NY., April 22, 2005.

CCNY
Created by William Sit,      Last updated December 30, 2006