logo
       



"Repräsentation der Imaginären der Plangeometrie" by Sophus Lie

We would like to thank the respective library staff of the University of Oslo and the Indian Institute of Technology, Kanpur for providing this very valuable document. Our grateful acknowledgment also extends to Professor Rahul Varman of the Indian Institute of Technology, Kanpur for making appropriate arrangements.


Bernhard Riemann, "On the Hypotheses which lie at the Bases of Geometry." Translated by William Kingdon Clifford.

A true classic. Requires no introduction.


Michael Atiyah, “Geometry and Physics of Knots”, Royal Institution Proceedings, 1988

A rather neat paper by Sir Michael Atiyah. We wish there were more papers written like it.


M.Kontsevich and D.Zagier, "Periods", IHES/M/01/22

Explains what periods are and the significance of mathematical constants among many other things. Great read!


Samuel Eilenberg and Saunders MacLane "General Theory of Natural Equivalences", AMS, 1945

The Category Theory started here. (http://www.ams.org/journals/tran/1945-058-00/S0002-9947-1945-0013131-6/S0002-9947-1945-0013131-6.pdf)


L. A. Zadeh, "Fuzzy Sets", Information and Control, 8, 338-353, 1965

The trade-off between Relevance and Precision. This is how we humans (and probably other animals too) make decisions.


Nicholas Metropolis, Arianna W. Rosenbluth, Marshall N. Rosenbluth, Augusta H. Teller, and Edward Teller, "Equation of State Calculations by Fast Computing Machines", The Journal of Chemical Physics, Vol. 21, No. 6, JUNE, 1953.

Monte-Carlo applied to Physics problems.


William Rowan Hamilton,  "ON ANHARMONIC CO-ORDINATES", Proceedings of the Royal Irish Academy, 7 (1862), pp. 286-289, 329, 351-354.

Interested readers may also refer to the book by Hime on Anharmonic Co-ordinates.