For computer science, math, and engineering, arXiv is essential for pre-print papers, but also check sites like SpringerLink's open access section or the ACM Digital Library's open content. Many tech conferences publish their proceedings openly. The culture in these fields is much more open-access friendly, so a huge amount of cutting-edge book-style content is free online from the get-go.
Your professor might have copies on reserve, either physically in the library or digitally through the course management system (like Canvas). Always, always check the syllabus and the course site first. They might have uploaded key chapters or provided links to legally posted PDFs. It's the most targeted resource you have, and it's literally what your instructor thinks is essential reading.
Kindle Unlimited has a free trial, and it has a surprising number of popular nonfiction and some academic-ish titles. Again, it's a temporary access method, but if you need to binge-read a few books on a topic in a month, the trial can be strategically used. Just, again, cancel before it charges you. It's more for popular science and history than hardcore textbooks, though.
MIT OpenCourseWare doesn't just have course syllabi and lectures; many courses have complete reading lists with links to freely available versions of the required books or articles. If you're studying a subject MIT teaches, you can effectively audit the class's reading material for free. The books themselves might be on other sites, but OCW points you to the legal, open versions.
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Don't forget about YouTube! Seriously. Many universities and professors post full lecture series online. MIT OpenCourseWare, Yale Open Courses, and channels like CrashCourse provide structured, curriculum-level content for free. While it's not a 'book,' it's complementary academic material that can guide your reading. You can watch a lecture on a topic, get the key concepts, and then know exactly which book or article to seek out for deeper study. It makes tackling dense texts much less intimidating.
Sometimes the simplest method is the best: a precise Google search with 'filetype:pdf' and the textbook title or author. This often surfaces PDFs on university course pages where professors have legally posted them for their students. It's hit or miss, and you must respect takedown requests, but it's a direct route to finding exactly what you need if it's out there.
Directory of Open Access Journals (DOAJ) sometimes includes book reviews and open-access book announcements. It's another angle to discover freely available scholarly books in your field.