MATH-CS COMPASS bridges the gap between pure mathematics and computer science applications, providing a comprehensive educational resource for students, researchers, and professionals.

Founded by Yusuke Yokota, this platform addresses a critical need in today's AI-driven world: while computer scientists increasingly rely on advanced mathematical concepts, they often lack a clear overview of these foundational ideas. Simultaneously, pure mathematicians may overlook the practical applications of their theoretical work.

MATH-CS COMPASS offers structured learning paths across four essential domains:

- LINEAR ALGEBRA (Section I): Explore vector spaces, matrices, transformations, eigenvectors, orthogonality, and stochastic matrices. Understand the mathematical structures that form the foundation of modern computational methods and machine learning algorithms.

- CALCULUS TO OPTIMIZATION & ANALYSIS (Section II): Master derivatives, integration, gradient descent, Newton's method, constrained optimization, and measure theory. Learn how calculus concepts translate directly to algorithm optimization techniques.

- PROBABILITY & STATISTICS (Section III): Delve into probability theory, random variables, distributions, Bayesian inference, maximum likelihood estimation, entropy, and Markov chains. Gain the statistical foundations crucial for data science and machine learning.

- DISCRETE MATHEMATICS & ALGORITHMS (Section IV): Study graph theory, combinatorics, computational theory, Boolean logic, complexity analysis, and the fundamental P vs. NP question. Build the algorithmic thinking skills essential for computer science.

Unlike typical educational resources that either focus exclusively on abstract theory or practical applications, MATH-CS COMPASS strikes a balance—presenting rigorous mathematical concepts while highlighting their relevance to computer science, AI, and technology.

The platform is designed with accessibility in mind, offering clear explanations that help pure mathematicians understand real-world applications and enable computer scientists to grasp the theoretical underpinnings of their field. This interdisciplinary approach creates a unique resource that serves both communities.

Whether you're a student seeking to strengthen your mathematical foundation, a researcher exploring interdisciplinary connections, or a professional applying mathematical concepts in your work, MATH-CS COMPASS provides the insights and resources to support your journey.

Join us in exploring the fascinating intersection where pure mathematics meets applied computer science—where theoretical elegance transforms into technological innovation.

Note: Content is regularly updated with new resources and topics.