The latest articles on DEV Community by Tiago Monteiro (@tiago_monteiro_34fa0cd092). https://dev.to/tiago_monteiro_34fa0cd092 https://media2.dev.to/dynamic/image/width=90,height=90,fit=cover,gravity=auto,format=auto/https:%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Fuser%2Fprofile_image%2F3727624%2Fdb4f5070-7f87-4c01-8710-f51cef4814e0.png https://dev.to/tiago_monteiro_34fa0cd092 en Tiago Monteiro Tue, 19 May 2026 12:14:00 +0000 https://dev.to/tiago_monteiro_34fa0cd092/i-wrote-a-free-open-source-book-on-the-math-behind-ai-in-freecodecamp-3p61 https://dev.to/tiago_monteiro_34fa0cd092/i-wrote-a-free-open-source-book-on-the-math-behind-ai-in-freecodecamp-3p61 <p>Why do a lot of people fail at AI? </p> <p>Because the math scares them.</p> <h2> TLDR </h2> <ul> <li>A free, open-source book covering the math you need to understand AI</li> <li>It is focused on linear algebra, calculus, probability, and optimization.</li> <li>The book has over 50K views and +140 stars on GitHub so far.</li> <li>⭐ If it's useful, a star on the repo helps a lot: <a href="https://github.com/tiagomonteiro0715/The-Math-Behind-Artificial-Intelligence-A-Guide-to-AI-Foundations" rel="noopener noreferrer">https://github.com/tiagomonteiro0715/The-Math-Behind-Artificial-Intelligence-A-Guide-to-AI-Foundations</a> </li> </ul> <h2> Why I wrote this book? </h2> <p>I started learning machine learning before ChatGPT came out</p> <p>A big problem I had back then was understanding the mathematics behind machine learning.</p> <p>An engineering bachelor's degree later (electrical and computer engineering) and hundreds of thousands of views on my freeCodeCamp blog, I decided to write a book on the math behind AI!</p> <p>Also, I am currently doing a master degree in AI at northeastern university.</p> <p>The book teaches the math in simple and plain English with a lot of analogies.</p> <p>Currently it has +50K+ views, and the GitHub repo has +140 stars.</p> <p>Also, I tried to balance the best way possible the depth and making it accessible.</p> <p>Finally, I show a lot of examples where the math concepts of AI are applied in fields of engineering and how these math ideas power billion dollar industries.</p> <h2> What is in the book? </h2> <ul> <li>The Architecture of Mathematics: How math connects from foundations to AI, including Gödel's paradoxes and Einstein's relativity</li> <li>The Field of Artificial Intelligence: From Control Theory to modern AI, understanding symbolic vs. non-symbolic AI approaches</li> <li>Linear Algebra: Vectors, matrices, determinants, eigenvalues, and transformations that show geometry of data in machine learning</li> <li>Multivariable Calculus: Limits, Derivatives, and Integrals.</li> <li>Probability &amp; Statistics: Bayesian methods, distributions, and Markov models for learning from uncertainty</li> <li>Optimization Theory: Gradient descent, Adam optimizer, and how machines learn step by step</li> <li>Real-World Applications: A lot of Python code examples, animated visualizations, and practical examples of where the math is applied</li> </ul> <h2> How can you help? </h2> <p>Link to the book: <a href="https://www.freecodecamp.org/news/the-math-behind-artificial-intelligence-book/" rel="noopener noreferrer">https://www.freecodecamp.org/news/the-math-behind-artificial-intelligence-book/</a></p> <p>The book repo is here: <a href="https://github.com/tiagomonteiro0715/The-Math-Behind-Artificial-Intelligence-A-Guide-to-AI-Foundations" rel="noopener noreferrer">https://github.com/tiagomonteiro0715/The-Math-Behind-Artificial-Intelligence-A-Guide-to-AI-Foundations</a></p> <p>If it's useful to you:</p> <ul> <li>A star helps more people find it</li> <li>Suggest topics you'd want covered next in a new version of the book!</li> </ul> <p>Saw a mistake in the book?</p> <p>Send me an email!</p> <p><a href="mailto:monteiro.t@northeastern.edu">monteiro.t@northeastern.edu</a></p> ai tutorial machinelearning python