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Maths, CS & AI Compendium

An open, intuition-first textbook that teaches the maths, computing, and practical foundations needed for AI engineering. Organized into focused chapters (vectors, matrices, calculus, ML, NLP, CV, GPU/Inference, ML systems) with code-first explanations and interview-ready emphasis.

Introduction

Most reference texts either bury intuition under heavy notation or treat implementation as an afterthought. This compendium flips that script: it prioritizes intuition, real-world context, and runnable examples so readers both understand and can apply core ideas that power modern AI.

What Sets It Apart
  • Intuition-first structure: chapters begin with motivating examples and informal explanations before introducing formalism — so you grasp why a concept matters, not just how to manipulate symbols. This reduces cognitive load when moving from math to code.
  • Broad, applied scope: spans pure maths (vectors, matrices, calculus, probability) to concrete engineering topics (GPU/SIMD programming, inference, MLOps, production serving). The consequence is fewer gaps when moving from research prototypes to production systems.
  • Code and interview emphasis: many sections prioritize worked examples, implementation notes, and practical tips used by people who prepared successfully for interviews at top AI labs — so it’s useful for both learning and interview prep.
  • Open, evolving textbook model: maintained as a GitHub repo and a readable website, enabling continuous updates and community-driven corrections — good for fast-moving areas where static books age quickly.
Who it's for & tradeoffs

Great fit if you are a practitioner who wants a single, coherent resource to bridge theory and practice — early-career ML engineers, self-taught developers preparing for interviews, and students who prefer code-first learning. The compendium is opinionated and pedagogical rather than exhaustive: look elsewhere for deep dives into niche research topics, formal proofs at the level of advanced textbooks, or turnkey production-ready libraries. It assumes some Python familiarity and an appetite for implementing concepts to learn them.

Where it fits

Think of this as the practical companion between short tutorials and full academic textbooks: more structured and conceptual than scattered blog posts, but more applied and example-driven than many formal texts. It’s particularly helpful when you need to connect linear algebra, optimization, and system-level considerations into working ML solutions.

Information

  • Websitegithub.com
  • AuthorsHenry Ndubuaku
  • Published date2026/02/03

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