Bibliography
[1] Abramowitz, Milton and Stegun, Irene A., Handbook of Mathematical Functions.
Dover, New York, 1974.
[2] Adel’son-Vel’skii, G. M. and Landis, E. M., An algorithm for the organization of infor-
mation, Soviet Mathematics Doklady, 3, 1259 – 1263, 1962.
[3] Aldous, David J. Probability Approximations via the Poisson Clumping H euristic.
Springer-Verlag, New York, 1989.
[4] Aldous, D. and Diaconis, P., Shuffling cards and stopping times,
The American Mathe-
matical Monthly
, 93, No. 5, 333 – 348, 1986.
[5] Aldous,, D., Flannery,, B., and Palacios, J. L., Two applications of urn processes — the
fringe analysis of search trees and the simulation of quasi-stationary distributions of
Markov chains. Probability in Engineering and and Informational Sciences, 2, 293 –
307, 1988.
[6] Andrews, George E., The Theory of Partitions.
Encyclopedia of Mathematics and its
Applications
, Vol. 2. Addison-Wesley, Reading, MA, 1976.
[7] Apostol, Tom M., An elementary view of Euler’s summation formula, The American
Mathematical Monthly, 106, N o. 5, 409 – 418, 1999.
[8] Apostol, Tom M. and Mnatsakanian, Mamikon A., Surprisingly accurate rational ap-
proximations, Mathematics M agazine, 75, No. 4, 307–310, 2002.
[9] Arden, D. N., Delayed Logic and Finite State Machine, In
Theory of Computing Ma-
chine Design
, 1 – 33, University of Michigan Press, Ann Arbor, 1960.
[10] Atallah, Mikhail J., (Editor), Algorithms and Theory of Computation Handbook, CRC
Press, Boca Raton, FL, 1998.
[11] Avidon, Michael, Mabry, Richard, and Sisson, Paul, Enumerating row arrangements of
three species, Mathematics Magazine, 74, No. 2, 130 – 134, 2001.
773
774
Bibliography
[12] Bailey, David H. , Borwein, Jonathan M ., and Girgensohn, Roland, Experimental eval-
uation of Euler sums, Experimental Mathematics, 3, No. 1 17 – 30 (1994)
[13] Bailey, Herb, M onty Hall uses a mixed strategy, Mathematics Magazine, 73, No. 2, 135
– 141 (2000).
[14] Bender, Edward A., Asymptotic methods in enumeration, SIAM Review, 16, No. 4, 485
– 515, 1974.
[15] Bender, Edward A. and Williamson, S. Gill, Foundations of Applied Combinatorics,
Dover, New York, 2007.
[16] Bentley, J. L., The whys and wherefores of algorithm design. In Proceedings of the 11th
International Conference on Computer Science and Statistics: The Interface, 1978.
[17] Berry, Donald A., Statistics, a Bayesian Perspective. Duxbury Press, Pacific Grove, CA,
1995.
[18] Birkhoff, G. D. and Trjitzinsky, W. J., Analytic theory of singular difference equations,
Acta Mathematica, 60, No. 1-2, 1 – 89, 1932.
[19] Blom, Gunnar and Thorburn, Daniel, H ow many random digits are required until given
sequences are obtained?, Journal of Applied Probability, 19, 518 – 531, 1982.
[20] Boneh, Arnon and Hofri, M., The coupon-collector problem revisited—a survey of en-
gineering problems and computational methods, Stochastic Models, 13, No. 1, 39–66,
1997.
[21] Brawner, J. N., D inner, dancing, and tennis, anyone? Mathematics Magazine, 74,
No. 1, 29 – 36, 2000.
[22] Borwein, Jonathan M., Borwein, Peter B. and Dilcher, K., Pi, Euler numbers, and
asymptotic expansions,
The American Mathematical Monthly
, 96, N o. 8 681 – 687
(1989).
[23] Borwein, Jonathan M., Calkin, Neil J. and Manna, Dante, E uler-Boole summation re-
visited,
The American Mathematical Monthly
, 116 No. 5, 387 – 412 (2009)
[24] de Bruijn, N. G., Asymptotic Methods in Analysis. Dover, New York, 1981.
[25] Callan, David, Pair them up! A visual approach to the Chung-Feller theorem, The
College Mathematics Journal, 26, No. 3, 196 – 198, 1995.
[26] Charalambides, C. A., Enumerative Combinatorics. CRC Press, Boca Raton, FL, 2002.
[27] Chebyshev, P. L., Sur deux th´eor`emes relatifs aux probabilit´es, Acta Mathematica, 14,
305 – 315, 1890.
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