Fred Reinfeld was a master but more well known for his many books on learning chess for lower level players. The Complete Chess Course is a 1953 copyright, republished many times, so it is a bit dated in theory. Nevertheless, it is delivers what it promises - an essentially complete basic coverage of the game from moves to an overview of popular openings.
There are some downsides. With today's computerization and universal international use of algebraic notation, the older English descriptive notation (i.e. P-K4 in place of e4) remains and dates this work. It is not so much an issue with older players who own older books or who learned this older notation, but it is a red flag for those who may wish to continue on in the study of chess using the current algebraic notation. So as a single volume book on chess for beginners, it is excellent. As a stepping stone to newer study, it poses some minor problems. Reinfeld died in 1964 so a revised edition is unlikely in the competitive chess book market.
One could also criticize it for a couple of notational errors which have never been corrected in the reprints, or for the fact that it was written long before computer analysis was used to examine popular lines in openings. It is, in the final review, a masterful work that has stood the test of time, but is showing its age.