"riveting book" is correct and usable in written English.
You can use it to describe a book you found to be especially engaging or exciting. For example: "I recently read a riveting book about a young woman's survival in the wilderness after a plane crash."
In this riveting book, books themselves are condemned – all books.
A Dangerous Liaison is a tautly written, riveting book.
My answer, especially after reading this riveting book, is that some people simply aren't cut out for anything else.
This the 59-year-old documents in the opening chapter of his riveting book, Absolutely Foxed.
Charles White's "Life and Times of Little Richard," from which Kirby draws liberally, is a riveting book and would be nearly impossible to displace as the definitive biography.
The conclusion of his riveting book is simple: driven grouse shooting requires the suppression of hen harriers, which is a crime, and so should itself be outlawed.
From Pearl Harbor to Iwo Jima: 7 Riveting Books About WWII in the Pacific.
In his shrewdly written, often riveting new book, "Then Everything Changed," the veteran political journalist Jeff Greenfield ponders some smaller-scale and more plausible what-ifs: three events, he says, "that came within a whisker of actually happening".
Thomas' riveting Fantagraphics book (and companion CD/MP3 on Light in the Attic Records), aptly titled Listen Whitey: The Sights and Sounds of Black Power 1965-1975 is a stunning culmination of Thomas' five year journey to compile the definitive aural document of the Black Power Movement.
And this book — riveting, wondrously drawn, expertly paced — is a triumph in and of itself.
A great actor, so the saying goes, can make a recitation of the phone book riveting.
