Essential Reading for the "Apprenti Mathematicien"
High scool level
  • Courant, Richard; Robbins, Herbert: What is mathematics? An elementary approach to ideas and methods. Oxford University Press, New York, 1979
  • Rademacher, Hans; Toeplitz, Otto: The enjoyment of math. Translated from the second (1933) German edition and with additional chapters by H. Zuckerman. Princeton Science Library. Princeton University Press, Princeton, NJ, 1994. iv+205 pp.
  • Sierpinski, W.: A selection of problems in the theory of numbers. Translated from the Polish by A. Sharma. A Pergamon Press Book The Macmillan Co., New York 1964 126 pp.

  • Undergraduate level
  • Hilbert, D.; Cohn-Vossen, S.: Geometry and the imagination. Translated by P. Nemenyi. Chelsea Publishing Company, New York, N. Y., 1952. ix+357 pp.
  • Chinn, W. G.; Steenrod, N. E.: First concepts of topology. The geometry of mappings of segments, curves, circles, and disks. New Mathematical Library, Vol. 18 Random House, New York; The L. W. Singer Co., Syracuse, N.Y. 1966 viii+160 pp.
  • Prasolov, V. V.: Intuitive topology. Translated from the Russian manuscript by A. Sossinsky [A. B. Sosinskii]. Mathematical World, 4. American Mathematical Society, Providence, RI, 1995. viii+95 pp.
  • Milnor, John W.: Topology from the differentiable viewpoint. Based on notes by David W. Weaver. Revised reprint of the 1965 original. Princeton Landmarks in Mathematics. Princeton University Press, Princeton, NJ, 1997. xii+64 pp.

  • Graduate level
  • Milnor, John W.: Morse theory. Based on lecture notes by M. Spivak and R. Wells. Annals of Mathematics Studies, No. 51 Princeton University Press, Princeton, N.J. 1963 vi+153 pp.
  • Milnor, John W.; Stasheff, James D.: Characteristic classes. Annals of Mathematics Studies, No. 76. Princeton University Press, Princeton, N. J.; University of Tokyo Press, Tokyo, 1974. vii+331 pp.
  • Fathi, Albert; Laudenbach, Francois; Poenaru, Valentin: Thurston's work on surfaces. translated by Djun Kim and Dan Margalit, Princeton University Press, Mathematical Notes no.48, 2009, 332pp.
  • Thurston, William P.: Three dimensional Geometry and Topology. vol 1, (edited by Silvio Levy), Princeton University Press, Princeton no 35, 1997, 311 pp.