You are here

Mathematics as the Science of Patterns - Bibliography

Michael N. Fried
  • Browder, Felix E. (1975).   Is Mathematics Relevant?  And If So, to What?  University of Chicago Magazine (Spring), pp.11-16.
  • Burckhardt, Johann Jakob.   “Jakob Steiner.”  In vol. 13 of the Dictionary of Scientific Biography, edited by C. C. Gillispie.  New York, 1970, pp.12-22.
  • Descartes, Rene. Rules for the Direction of the Mind.   In vol 1 of The Philosophical Works of Descartes, translated by E. S. Haldane and G. R. T. Ross. Cambridge: At the University Press, 1970.
  • Descartes, Rene, The Geometry of Rene Descartes, translated from the French and Latin by David Eugene Smith and Marcia L. Latham.  New York: Dover, 1954.
  • Devlin, Keith (1994).   Mathematics: The Science of Patterns.  New York: Scientific American Library
  • Euclid, Opera Omnia, edited by J. L. Heiberg and H. Menge.   Leipzig, 1883.
  • Fried, Michael N. and Unguru, Sabetai. Apollonius of Perga’s Conica: Text, Context, Subtext.  Leiden: Brill, 2001.
  • Fried, Michael N. (2001).   Can Mathematics Education and History of Mathematics Coexist? Science & Education 10, pp.391-408
  • Grattan-Guinness, Ivor, “Numbers, Magnitudes, Ratios, and Proportions in Euclid’s Elements: How Did He Handle Them?” Historia Mathematica 23 (1996): 355-375.
  • Hardy, G. H. A Mathematician’s Apology.   Cambridge: Cambridge University Press, 1992.
  • Klein, J., Greek Mathematical Thought and the Origin of Algebra, translated by Eva T. H. Brann. Cambridge, Mass.: The M.I.T. Press, 1968.
  • National Council of Teachers of Mathematics (NCTM). Principles and Standards for School Mathematics.   Reston, VA.: NCTM, 2000.
  • Resnik, Michael D.   Mathematics as a Science of Patterns.  Oxford: Clarendon Press, 1999.
  • Steen, Lynn Arthur. “The Science of Patterns.” Science 240 (April 1988): 611-616.
  • Steiner, Jacob, Gesammelte Werk, vol I. , edited by K. Weierstrass.   Bronx, New York: Chelsea Publishing Company, 1971.
  • Whitehead, Alfred North (1964).   Mathematics as an Element in the History of Thought.  In Robert W. Marks (Ed.), The Growth of Mathematics.  New York: Bantam Books, pp.7-24.

Michael N. Fried, "Mathematics as the Science of Patterns - Bibliography," Convergence (August 2010)