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Github trending [HenryNdubuaku/maths-cs-ai-compendium] 数学AI开源教材 #740

Description

@web1992

项目地址

https://github.com/HenryNdubuaku/maths-cs-ai-compendium

AI 摘要

这是一本开源的数学、计算机科学和人工智能综合教材,涵盖从向量矩阵、概率统计到深度学习、计算机视觉、语音处理、自主系统等17个章节。内容注重直觉理解和实际背景,避免传统教材的晦涩符号和跳跃假设。附带MCP服务器,可作为AI助手知识库使用。作者曾用此笔记帮朋友成功进入DeepMind、OpenAI等公司。

README 原文

Maths, CS & AI Compendium

Logo

Read online: henryndubuaku.github.io/maths-cs-ai-compendium

Overview

Most textbooks bury good ideas under dense notation, skip the intuition, assume you already know half the material, and quickly get outdated in fast-moving fields like AI. This is an open, unconventional textbook covering maths, computing, and artificial intelligence from the ground up. Written for curious practitioners looking to deeply understand the stuff, not just survive an exam/interview.

Background

Over the past years working in AI/ML, I filled notebooks with intuition first, real-world context, no hand-waving explanations of maths, computing and AI concepts. In 2025, a few friends used these notes to prep for interviews at DeepMind, OpenAI, Nvidia etc. They all got in and currently perform well in their roles. Meanwhile I got in Y Combinator last year. So I'm sharing to everyone.

MCP Server

This repo includes an MCP server that lets any AI assistant (Claude Code, Cursor, VS Code, etc.) use the compendium as a knowledge base. It requires a local clone of the repo. Comes with tools for educational purposes and example implementations.

Outline

# Chapter Summary Status
01 Vectors Spaces, magnitude, direction, norms, metrics, dot/cross/outer products, basis, duality Available
02 Matrices Properties, special types, operations, linear transformations, decompositions (LU, QR, SVD) Available
03 Calculus Derivatives, integrals, multivariate calculus, Taylor approximation, optimisation and gradient descent Available
04 [Statistics](chapter%2004%20-%20statisti...

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