The article argues that IT is destroying more jobs than it creates and does so by pointing to total job growth in the United States, which was positive in each decade from 1940 through to the end of 1999, but negative in the first decade of this century. I don't know if this is an accurate portrayal of the argument put forward by the authors of the book, but if so it's flawed to the point of uselessness.
First, it assumes that all job gains and job losses are due to IT, which is clearly not true. Teasing out the effects of IT on total employment is extremely difficult, but essential for establishing any sort of causal relationship.
Second, up until 2008, US job growth in the previous decade *was* positive, to the tune of about 4%. While not a stellar performance, it does still represent growth in jobs, not decline. It is only the massive job losses since the recession started which leaves the decade as a whole with a small decline in total employment.
All that the article has shown is that recessions cost jobs and that big recessions cost lots of jobs, which isn't exactly news. It says nothing at all about the effects of IT on employment. Unless you think that IT causes recessions.