There have obviously been a large number of books written about quantum mechanics. Here are a few that are relevant to the themes of this book:
Albert, D. Z. (1994). Quantum Mechanics and Experience. Harvard University Press. A short introduction to quantum mechanics and the measurement problem from a philosophical perspective.
Becker, A. (2018). What Is Real? The Unfinished Quest for the Meaning of Quantum Physics. Basic Books. A historical overview of quantum foundations, including alternatives to Many-Worlds and the obstacles that many physicists faced in thinking about these issues.
Deutsch, D. (1997). The Fabric of Reality. Penguin. An introduction to Many-Worlds but also much more, from computation to evolution to time travel.
Saunders, S., J. Barrett, A. Kent, and D. Wallace. (2010). Many Worlds? Everett, Quantum Theory, and Reality. A collection of essays for and against Many-Worlds.
Susskind, L., and A. Friedman. (2015). Quantum Mechanics: The Theoretical Minimum. Basic Books. A serious introduction to quantum mechanics, taught at the level of an introductory course for physics students at a good university.
Wallace, D. (2012). The Emergent Multiverse: Quantum Theory According to the Everett Interpretation. Oxford University Press. Somewhat technical, but this is the now-standard reference book on Many-Worlds.