Electronic Proceedings of the Ninth Annual International Conference on Technology in Collegiate Mathematics

Reno, Nevada, November 7-10, 1996

Paper C041

Genius of Ramanujan vs. Modern Mathematical Technology

Robert Kreczner

University of Wisconsin-Stevens Point
Stevens Point, WI 54481
Phone: (715) 346-3754
Fax: (715) 346-3624

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Ramanujan, an Indian mathematician who was labeled as the man who knew infinity, is probably one of the most esoteric mathematical genius in the Twentieth Century. His unexpected, formidable, and at the same time most beautiful formulas ever discovered in Mathematics are a testimony to Ramanujan's extraordinary genius. Some of these formulas can be made more accessible, even for most students, by using modern mathematical programs such as Mathematica, Sketch Pad, etc. In this paper, we will consider construction of Ramanujan's magic squares, formulas for pi, proving some of his formulas by using symbolic manipulations provided by Mathematica, looking at the problem of partitions.

Keyword(s): Mathematica, discrete mathematics, calculus, Geometer's Sketchpad