Xiong M. Mathematical Foundations of Artificial Intelligence...2026

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Textbook in PDF format

Mathematical Foundations of Artificial Intelligence: Basics of Manifold Theory is the first volume in a two‑part series. Together, they establish a unifying mathematical framework based on smooth manifold theory and Riemannian geometry・essential tools for representing, analyzing, and integrating the growing complexity of modern artificial intelligence (AI) systems and scientific models

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