Interesting - I've had the German version from my university days (every ME student had one) and it's spelled "Bronstein". The English spelling makes me a little dizzy.
Bronshtein is excellent, but a bit dated. For me in particular it's lacking coverage of modern ideas on function approximation.
Also, it isn't free ;)
IIRC it does not cover probablity and statistics, a strange omission considering the Russian heritage.