Discrete Mathematics For Computer Science

This project is an algorithm courseware repository and academic resource portal. It serves as a digital archive for algorithm textbooks, providing access to complete manuscripts, individual chapters, and educational materials focused on computer science fundamentals and algorithm design. The repository includes a dedicated errata tracking system to record publication errors and corrections. This system allows for the monitoring of updates made to the academic texts since their official release to ensure the accuracy of the information. The platform distributes a variety of supplemental cours

Coq is an interactive theorem prover and proof assistant used for formal mathematical verification and verified software development. It utilizes the Gallina functional language to define computable functions and logical propositions, which are then verified through a machine-checked kernel. The system employs a dependent type system and a Caldicott-style proof engine to automate proof search and tactic execution. These capabilities allow for the creation of formal specifications and the development of algorithms that are mathematically proven to meet specific requirements. The toolset inclu

This project is a structured computer science educational course consisting of video lessons, curated playlists, and translated study materials. It delivers a comprehensive curriculum covering foundational computing principles, ranging from basic logic and hardware architecture to artificial intelligence. The project facilitates bilingual technical learning through dual-language video subtitles and translated learning materials. These resources, including knowledge maps and supplementary notes, are designed to help non-native English speakers acquire industry-standard technical terminology by

This project is a comprehensive educational platform designed to facilitate the mastery of computer science algorithms and data structures. It provides a structured learning curriculum, a library of practice problems, and an integrated toolkit that supports both academic study and competitive programming preparation. By combining theoretical roadmaps with practical implementation exercises, the system enables users to build a deep understanding of core computational concepts. The platform distinguishes itself through its focus on integrated learning and visual clarity. It offers AI-powered gu

This project is an educational resource focused on machine learning mathematics education. It provides a curriculum for the mathematical foundations required to understand and implement machine learning algorithms, covering linear algebra, calculus, probability, and optimization. The resource includes structured mathematics modules and a foundation curriculum paired with practice exercises, instructor manuals, and solution guides. It offers technical textbook supplementation through downloadable PDF materials and supplementary learning content such as video lectures and presentation slides.

This project is a curated library of hand-drawn technical documentation and visual knowledge bases designed to simplify complex software engineering concepts. It replaces traditional code-centric diagrams with annotated illustrations and sketchnotes to translate abstract logic into intuitive mental models. The resource utilizes an analogy-based learning approach, mapping software operations and algorithms to concrete physical metaphors. It employs a visual-first documentation model that breaks down intricate technical workflows into sequential sketches for step-by-step comprehension. The kno

Open edX is a web-based learning management system and online course delivery platform that provides a complete environment for hosting, delivering, and managing online courses. It includes a dedicated course authoring studio for creating, organizing, and publishing course materials and assessments, along with a learning analytics dashboard for viewing visualizations and metrics of course data to analyze learner performance and engagement. The platform supports educational content structuring through tools for assembling course materials, and offers course data analytics capabilities for anal

This project is a computational statistics textbook and Bayesian data analysis course. It serves as a guide for performing statistical inference and quantifying uncertainty through a probabilistic programming workflow using Python. The resource employs a computation-first pedagogy, teaching Bayesian methods and parameter estimation through executable code and simulations instead of formal mathematical notation. It provides a practical approach to implementing Markov Chain Monte Carlo sampling to estimate posterior distributions. The content covers building probabilistic models, integrating e

Lean 4 is a functional programming language and interactive proof assistant used to formalize mathematics and verify software correctness. It functions as a dependent type theorem prover and a formal verification tool that allows users to construct mathematical proofs and ensure program correctness. Additionally, it serves as a logic-based source for generating verified datasets used to train and benchmark artificial intelligence reasoning systems. The system distinguishes itself through a small-kernel verification model, where all proofs are verified by a trusted core of basic logical rules.

This project is a comprehensive study kit and resource archive for the Structure and Interpretation of Computer Programs (SICP) course. It serves as a curated learning path for studying functional programming and the fundamentals of program construction, providing a centralized directory of textbooks, tutorials, and instructional materials. A primary focus of the repository is multilingual accessibility, specifically providing Chinese translations of English lecture subtitles and transcripts. These translated resources are mirrored across multiple video hosting platforms and cloud storage pro