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Manuel Bronstein wrote a book [1] about symbolic integration, but unfortunately it only covers the transcendental part. There is also a shorter "tutorial" from
by irrep 3y ago
Manuel Bronstein wrote a book [1] about symbolic integration, but unfortunately it only covers the transcendental part. There is also a shorter "tutorial" from some workshop [2].
[1] Manuel Bronstein: Symbolic Integration I, https://doi.org/10.1007/b138171 https://doi.org/10.1007/b138171
[2] https://www-sop.inria.fr/cafe/Manuel.Bronstein/publications/issac98.pdf https://www-sop.inria.fr/cafe/Manuel.Bronstein/publications/...
- slavapestov 3y agoSadly he passed away before completing Part 2. https://lists.gnu.org/archive/html/axiom-developer/2005-06/msg00109.html https://lists.gnu.org/archive/html/axiom-developer/2005-06/m...
- arthur2e5 3y agoI wonder if someone will make a publication out of his incomplete manuscripts. How many years do this kind of work take in the field of mathematics? Marx's Capital Volume IV took 20 years from his death to Kautsky's publication.
- globular-toast 3y agoI wrote a program to do symbolic integration as my undergrad project around 2010. I had (still have) Bronstein's book which I had pored over for the best part of a year. I had also visited his website[0] and found tons of useful info there. You know when you read so much of and about a person you almost feel like you know them? It wasn't until right at the end of the project I happened across an obituary[1]. He'd been dead the whole time. It was a very strange feeling. Like I had been in communication with a ghost. It's such a shame as I feel like he probably would have finished the Risch algorithm eventually. [0] https://www-sop.inria.fr/cafe/Manuel.Bronstein/ https://www-sop.inria.fr/cafe/Manuel.Bronstein/ [1] http://www.ccas.ru/sabramov/ps/PCS56.pdf http://www.ccas.ru/sabramov/ps/PCS56.pdf