Jeff Atwood aka CodingHorror (of Stackoverflow and Discourse fame) recommended this book strongly in this post titled "Practicing the Fundamentals: The New Turing Omnibus ": https://blog.codinghorror.com/practicing-the-fundamentals-th...
I found The New Turing Omnibus[1] to give a really nice overview of a bunch of topics, some chapters were a lot harder to follow than others but I got a lot from it.
Code by Charles Petzold[2] is a book I recommend to anyone who stays still long enough; it's a brilliant explanation of how computers work.
Structure and Interpretation of Computer Programs (SICP)[3] comes up all the time when this kind of question is asked and for good reason; it's definitely my favourite CS/programming book, and it's available for free online[4].
I'm still a long way off having the kind of education someone with a CS degree would have but those are my recommendations. I'd love to hear the views of someone more knowledgable.
[1] https://www.amazon.co.uk/New-Turing-Omnibus-K-Dewdney/dp/080... [2] https://www.amazon.co.uk/Code-Language-Computer-Hardware/dp/... [3] https://www.amazon.co.uk/Structure-Interpretation-Computer-E... [4] https://mitpress.mit.edu/sicp/full-text/book/book.html
Also, if you ever need to give a gift, http://www.amazon.com/The-New-Turing-Omnibus-Excursions/dp/0...
http://www.amazon.com/Algorithmics-Spirit-Computing-David-Ha...
The New Turing Omnibus
http://www.amazon.com/The-New-Turing-Omnibus-Excursions/dp/0...
is also good, as is Code by Charles Petzold.
http://www.amazon.com/Code-Language-Computer-Hardware-Softwa...
AFTER EDIT: While I thought about the first three books I mentioned, I thought of another, Write Great Code, Volume 1: Understanding the Machine by Randall Hyde.
http://www.amazon.com/Write-Great-Code-Understanding-ebook/d...
The New Turing Omnibus by A K Dewdney (https://www.amazon.com/New-Turing-Omnibus-Sixty-Six-Excursio...)
The Society of Mind by Marvin Minsky (https://www.amazon.com/Society-Mind-Marvin-Minsky/dp/0671657...)
Creating Mind: How the Brain Works by John E Dowling (https://www.amazon.com/Creating-Mind-How-Brain-Works/dp/0393...)