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{
W: ``Intertwined'' and ``ahead of his time''
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\centerline{ {\it
Doron 
ZEILBERGER}\footnote{$^1$}
{\eightrm  \raggedright
Department of Mathematics, Rutgers University (New Brunswick),
Hill Center-Busch Campus, 110 Frelinghuysen Rd., Piscataway,
NJ 08854-8019, USA.
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{\eighttt zeilberg  at math dot rutgers dot edu} ,
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{\eighttt http://www.math.rutgers.edu/\~{}zeilberg/} .
May 22, 2012.
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It is hard for me to write something solicited about W. He was the better half of 
``WZ pair'' and ``WZ theory''. If I had to choose one word to describe him, it would
be ``intertwined''. His beloved wife of sixty years, Ruth Tumen W., said in her eulogy,
``for him research and teaching was intertwined''. I wholeheartedly agree, but not only
teaching and research. The computational and the conceptual, the pure and applied, the
big picture and the nitty-gritty details of  Fortran or Mathematica code, 
research and exposition (and boy was he a great expositor!)
the professional and the personal, and so on and so forth.

He was also way ahead of his time! When computers were just starting to get used,
he edited, in the lated fifties, together with Anthony Ralston, a seminal ``cookbook'' telling people
how to solve mathematical problems with computers, complete with flowcharts
and pseudocode (before Fortran!). Fifteen years later, he cowrote, with Albert Nijenhuis,
the bible of combinatorial algorithms, that intertwined theory and implementation.
When the internet started, he pioneered the Electronic J. of Combinatorics,
a free(!) on-line journal. He convinced the publishers of his numerous  books to let them
post his books  freely on the internet, thereby being a pioneer of open-access, and
open source-code. When Tim Gowers asked him to write the entry on Enumerative and Algebraic
combinatorics he politely refused, but suggested that he write instead an entry
on ``Experimental Mathematics'', thereby introducing this avant-garde subject into
the canon of mathematics.


And his mathematics was divine! Please watch my lecture:

http://youtu.be/rnFWmswEFFA (part 1), http://youtu.be/8NwFQGO3tzU (part 2) .





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