Electronic Proceedings of the Ninth Annual International Conference on Technology in Collegiate MathematicsReno, Nevada, November 7-10, 1996Paper C041Genius of Ramanujan vs. Modern Mathematical Technology |
Robert KrecznerUniversity of Wisconsin-Stevens Point Stevens Point, WI 54481 USA Phone: (715) 346-3754 Fax: (715) 346-3624 rkrczne@uwsp.edu list of all papers by this author |
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ABSTRACT
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