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A Mathematical Introduction to Large Language Models. The main text for this tutorial is the latest (draft) version of "Speech and Language Processing" by Dan Jurafsky and James H. Martin. It is not yet published as of 2026 — but already an excellent textbook. Here, I explain the LLM system and, more specifically, the prerequisites of understanding transformers. My goal is to bridge the mathematics of LLMs and, generally, Information Retrieval with more foundational mathematics. This tutorial is being updated continuously. This is the first article in my Substack on the Mathematics of Information, and there's more in the drafts that will soon be published. Thank you for reading. https://lnkd.in/eGCbFgEF