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References

Core Mathematical References

  1. Abramowitz, M., Stegun, I. Handbook of Mathematical Functions. National Bureau of Standards, 1964.

  2. Chihara, T. An Introduction to Orthogonal Polynomials. Gordon and Breach, 1978.

  3. Gautschi, W. Orthogonal Polynomials: Computation and Approximation. Oxford, 2004.

  4. Szego, G. Orthogonal Polynomials. American Mathematical Society, 1992.

  5. Zhang, S., Jin, J. Computation of Special Functions. Wiley, 1996.

  6. Knuth, D. The Art of Computer Programming, Volume 2: Seminumerical Algorithms. Addison-Wesley, 1997.

Specialized Literature

  1. Banks, R. Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics. Princeton, 1999.

  2. Benford, F. “The Law of Anomalous Numbers.” Proceedings of the American Philosophical Society, 78, 1938.

  3. Bratley, P., Fox, B., Schrage, L. A Guide to Simulation. Second Edition, Springer, 1987.

  4. Brewbaker, C. “Lonesum (0,1)-matrices and poly-Bernoulli numbers of negative index.” Master of Science Thesis, Iowa State University, 2005.

  5. Briggs, W., Henson, V. The DFT: An Owner's Manual for the Discrete Fourier Transform. SIAM, 1995.

  6. Cody, W. “Rational Chebyshev Approximations for the Error Function.” Mathematics of Computation, 23(107), 1969.

  7. Corless, R., Gonnet, G., Hare, D., Jeffrey, D., Knuth, D. “On the Lambert W Function.” Advances in Computational Mathematics, 5(1), 1996.

  8. Fox, B. “Algorithm 647: Implementation and Relative Efficiency of Quasirandom Sequence Generators.” ACM Transactions on Mathematical Software, 12(4), 1986.

  9. Hartley, R. “A More Symmetrical Fourier Analysis Applied to Transmission Problems.” Proceedings of the Institute of Radio Engineers, 30, 1942.

  10. Hayes, B. “The Vibonacci Numbers.” American Scientist, 87(4), 1999.

  11. Hill, T. “The First Digit Phenomenon.” American Scientist, 86(4), 1998.

  12. Hofstadter, D. Goedel, Escher, Bach. Basic Books, 1979.

  13. Kaneko, M. “Poly-Bernoulli Numbers.” Journal Theorie des Nombres Bordeaux, 9(1), 1997.

  14. Osler, T. “Cardan Polynomials and the Reduction of Radicals.” Mathematics Magazine, 74(1), 2001.

  15. Pereira, J. “Algorithm 234: Poisson-Charliers Polynomials.” Communications of the ACM, 7(7), 1964.

  16. Pinter, C. A Book of Abstract Algebra. Second Edition, McGraw Hill, 2003.

  17. Raimi, R. “The Peculiar Distribution of First Digits.” Scientific American, 1969.

  18. Stanton, D., White, D. Constructive Combinatorics. Springer, 1986.

  19. Velleman, D., Call, G. “Permutations and Combination Locks.” Mathematics Magazine, 68(4), 1995.

  20. Viswanath, D. “Random Fibonacci sequences and the number 1.13198824.” Mathematics of Computation, 69(231), 2000.

  21. Waterman, M. Introduction to Computational Biology. Chapman and Hall, 1995.

  22. Weisstein, E. CRC Concise Encyclopedia of Mathematics. Second Edition, CRC Press, 2002.

  23. Wolfram, S. The Mathematica Book. Fourth Edition, Cambridge University Press, 1999.

  24. Wolfson, M., Wright, H. “ACM Algorithm 160: Combinatorial of M Things Taken N at a Time.” Communications of the ACM, 6(4), 1963.

  25. Zwillinger, D. (ed.) CRC Standard Mathematical Tables and Formulae. 30th Edition, CRC Press, 1996.

Last revised on 2 April 2026.