Descrição do livro
This book is a comprehensive mathematical exploration of artificial intelligence, showing how modern AI is built from the combined power of linear algebra, calculus, probability, optimization, geometry, topology, graph theory, dynamical systems, causality, learning theory, and generative modeling. Rather than presenting AI as only an engineering discipline, it argues that intelligence is a deeply structured mathematical phenomenon that must be understood through multiple interacting formalisms at once. Moving from foundational tools to advanced topics such as manifold learning, information geometry, operator-based modeling, scientific machine learning, reinforcement learning, and mathematically grounded agentic systems, the book offers both a rigorous conceptual framework and a forward-looking vision for a unified mathematics of intelligence.
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