City in the Sky by James Glanz and Eric Lipton is an amazing account of both the construction and collapse of the twin towers of the World Trade Center.
This book is a deeper dive than Gillespie's Twin Towers. It goes into more detail on the people, politics and events surrounding the towers as a construction project. For example, one aspect not much discussed by Gillespie was the influence of David Rockerfeller, whose uncle originally proposed a World Trade Center concept just before the second world war. Later in the 50s, Rockerfeller wanted to revitalise Lower Manhattan with property development, and he used his uncle's idea as part of the driving force. He got the Port Authority involved because he knew they would be necessary for the planning permission and have vast financial resources. One thing the book doesn't really make too clear is where the involvement of Rockerfeller ended after the Port Authority were on board, because it was essentially their project, and Rockerfeller seemed to have little or no influence at that point.
Another aspect glossed over in Gillespie's book but given full treatment by Glanz and Lipton was an account of the political skirmishes the Port Authority went through before they could begin construction. After a lot of negotiation, a bill approving the project was signed and passed by the Governors of New York and New Jersey in March 1962, but construction didn't commence until August 1966. The first obstacle was the strong opposition by the small business owners on 'Radio Row', who were essentially going to be bulldozed over to make way for the trade center. They were represented by a prolific lawyer who challenged the Port Authority and initially they won their case: the World Trade Center bill was declared unconstitutional on the basis that it was too broad and gave the Port Authority too much power. However, the decision was overturned in an appeals court. The case was then taken to the Supreme Court, but they dismissed it. That wasn't the end of the trouble. In 1964, Lawrence A. Wien, whose property development syndicate had acquired the Empire State Building at the end of 1961 for $65 million, setup a committee to oppose the project. They were concerned about their market being undercut by the millions of square feet of office space the towers would provide, and in May 1968, Wien even had an article published in the New York Times, that among other things, warned against the possibility of a commercial jet colliding with the towers. Then at the beginning of 1966, John V. Lindsay was inaugurated as the new Republican Mayor of New York. He didn't like the project, and right off the bat, he asked that the demolition preparations be halted. He setup a committee to review the city's relationship with the Port Authority, essentially to undermine the enterprise. Despite all this, obviously we know the Port Authority prevailed, but it was really great to get the detail from the book on this interesting history.
On the collapse, the authors have a chapter describing the day's events, which is very similar in nature to Dywer and Flynn's 102 Minutes, but it's worth bearing in mind that this book was published two years before, presumably while 102 Minutes was still in development. It also has other details 102 Minutes didn't really touch on. Then there is a large, interesting chapter that deals with the immediate aftermath, which was the immense operation to clean up the site and salvage bodily remains, which completed in June 2002 (although the effort to identify remains from the material recovered still goes on to the present day).
In the Epilogue, there is a summary view of the design of the towers, in terms of how they helped and hindered the disaster on September 11. The main problem was the fact that the Port Authority really just didn't take fire safety seriously enough. The lighter steel that was used for the columns and floor trusses wasn't ever subject to furnace testing to determine how much fire proofing material was necessary, or particularly with respect to the trusses, if they would even be safe at all in a fire situation. If they did have that testing done, it could have forced a redesign of the whole project, and Malcolm Levy, who was the Port Authority's technical lead, decided not to take the risk. It's worth bearing in mind again that this book was written in 2003, so it predates the NIST investigation, which didn't start until late 2002.
Overall, City in the Sky is a superb read for anyone interested in 9/11 or the history of the World Trade Center. There's lots more detail I didn't mention here, it's tremendously well written, and it's sourced by nearly 100 pages of references. Highly recommended.