RAMANUJAN MATHEMATICS | STEPHEN WOLFRAM | 04.27.2016
|| TRUTH VERSUS NARRATIVE | EXCERPT ||
Ramanujan's way of working must have seemed quite alien . For Ramanujan was in some fundamental sense an Experimental Mathematician :
Going out into the Universe of Mathematical possibilities and doing calculations to find interesting and significant facts — and only then building theories based on them .
|| SEEING WHAT IS IMPORTANT | EXCERPT ||
Ramanujan was surely a great human calculator , and impressive at knowing whether a particular Mathematical fact or relation was actually true .
But Ramanujan's greatest skill was , I think , something in a sense more mysterious : an uncanny ability to tell what was significant , and what might be deduced from it .
|| A WAY OF DOING MATHEMATICS | EXCERPT ||
By the time of the scholarship , Ramanujan had started writing more papers , and publishing them in the Journal of the Indian Mathematical Society .
Compared to the big claims about primes and divergent series , the topics of these papers were quite tame . But the papers were remarkable nevertheless .
What is immediately striking about them is how calculational they are — full of actual , complicated formulas . Most Math papers are not that way . They may have complicated notation , but they do not have big expressions containing complicated combinations of roots , or seemingly random long integers .
In modern times , we are used to seeing incredibly complicated formulas routinely generated by Mathematica . But usually they are just intermediate steps , and are not what papers explicitly talk much about .
For Ramanujan , though , complicated formulas were often what really told the story .
And of course it is incredibly impressive that Ramanujan could derive them without computers and modern tools .
|| PUBLISHED PAPERS & UNPUBLISHED NOTEBOOKS ETC LINKS | TBC . . . ||
SOURCE | SATYAVEDISM.ORG