If you have both Volume I and II in Algebraic Notation, you have what could be one of the finest introductory books to take you from a Total Beginner to a Class E player.
There is a newer one volume edition that came out later on.
Currently there isn't every version of the books on goodreads, but Volume II is really the meat of the course, and there are much stronger players that are lacking the information within those two books.
Alexander's book is one of the few beginner books that plug up every possible hole and weakness in your play at the early stages, and I believe it was in descriptive notation in 1966 or 1967.
There is substantial material in this book, it's probably the deepest and largest and most sophisticated book for chess at the basic level.
Bobby Fischer Teacher Chess might be more suitable for children than this book though, or people who might be easily intimidated with the rules and basic play.
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Here is my interpretation and expansion of Ken Smith's Chess Improvement Course
Beginners 800-1000 Elo
A35 Starting Chess - Gillam [starting from Zero Knowledge - 300 Elo] Bobby Fischer Teaches Chess [starting from Zero Knowledge - 300 Elo] [Programmed Instruction] A1 Learn Chess: A New Way for All Volume I - Alexander E1 Learn Chess: A New Way for All Volume II - Alexander D12 Simple Chess Tactics - Gillam J12 Simple Chess Checkmates - Gillam A16 Chess Tactics for Beginners - Reinfeld J7 How to Force Checkmate - Reinfeld F24 Winning Chess - Chernev [Get a Novag Super Constellation Tabletop Chess Machine] [Get Hiarcs Software on a Mac - Analysis]
Class E 1000-1200 and Class D 1200-1400
Encyclopedia of Chess Openings A B C D E [most essential for now Volume C and A]
[Volume C 1e4 e5 games and Volume A all the irregular openings] [now you have a handbook for knowing where your first weak move is, and only a comprehensive openings encyclopedia will show you most all of the plausible moves]
Bilguer's Handbuch des Schachspiel - 1919 Olds Edition Reprint
[this has a lot of plausible moves that ECO leaves out, but you know those Soviet Grandmasters doing ECO, almost every weak move that gets you in a chess trap is probably in here - Larry Evans thought this was his bible on his desk for his column]