The antithesis of science isn't necessarily occultism. Occultism is just hidden knowledge, by definition (though whether or not that knowledge is useful is another matter). Also, to some, mysticism is the practice of occult science. And finally, some science isn't popular, so it isn't discussed or its research is diminished, which may or may not fall under occult. I'm not meaning to sound corrective or pedantic or anything like that. Rather, this topic touches on a lot of really interesting areas, so there's plenty to explore.
Anyways, for beginner occult-related stuff in particular, things like these might be interesting:
Magic Symbols by Frederic Goodman
A good overview of ancient and occult symbols which you'll see popping up in a number of places if you start looking into these topics
Total Kabbalah by Maggy Whitehouse
This is put together like an easy-to-read textbook, but it's a pretty comprehensive overview, mostly focusing on the Tree of Life, the sephiroth, and its structure. However, it presumes that kabbalah is applicable to religions like Christianity, which it isn't.
Liber Kaos by Peter J. Carroll
Kind of a "manual" on magick. The description claims that it's advanced, but it's really kind of a basic overview of concepts like rituals, metaphysics, demonology, and so on.
Magic and the Supernatural by Maurice Bessy
This one's like the aforementioned Magic Symbols, only with more visuals and sparse descriptions. I spotted it in a Giallo, can't remember which. Originally published in 1961, this book is filled with imagery relating to ancient magic, mysteries, demons, dreams, shamen, and much more.
Prometheus Rising by Robert Anton Wilson
This one's more about enhancing your own mind using magical means. My girlfriend suggested it for this topic, but I haven't read through it myself yet.
An Introduction to Chaos Magick by Adrian Savage
Basically what the title says, though this one is really short and written in large print. It's more worth it for its (admittedly short) bibliography.
Chaos Ritual by Steve Wilson
A much stronger book than the last regarding Chaos Magick, and probably the best one on the subject that I've come across so far. This one is more of a guide on how to invoke and practice chaos magick. Even if you're not interested in practicing it yourself, the author explains why things like traditional magick rituals are worthless and how to pursue creating your own rituals with meaning. In this way, it not only gets into the significance of why chaos magick is a point of interest, but kind of shows how those traditional rituals may have come about in the first place.
Beyond these, occult topics can get a little more particular, like Theosophy, metaphysics, various cults, etc. It really depends on where your interests lie.