Strunk And White is a horrible book to learn how to actually write English well. It's full of contradictions, has some bad grammar in it, doesn't follow its own advice
He "is head of linguistics and English language at the University of Edinburgh and co-author (with Rodney Huddleston) of The Cambridge Grammar of the English Language".
But, go ahead and write like Strunk if you want to sound like a stiff 1890s dandy.
In addition to the "50 Years of Stupid Grammar Advice" article that Zed links, Language Log[1] is a great source if you want to learn more about the problems with prescriptivism and Strunk and White in particular. Geoffrey Pullum is one of the founders, and he writes there often.
Can you give some examples?