Prima di Memmo, i miei appunti erano sparsi tra mille PDF. Ora uno spazio di lavoro raccoglie tutto in un unico posto, e vedo esattamente cosa mi resta da studiare.
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.
Differential geometry now plays a central role across AI, biology, physics, and medicine. From deep learning, generative modeling, and manifold learning to reasoning algorithms and physical AI, manifolds offer a coherent geometric language that bridges theory and practice. This volume introduces key concepts・topological and smooth manifolds, Riemannian metrics, differential forms, Lie derivatives, and statistical geometry・alongside illustrative applications to data science, genomics, drug discovery, and AI‑driven systems.
Unlike traditional texts, this book combines rigor with intuition, integrating formal theory, computational methods, and interdisciplinary insights, and is ideal for graduate students and professionals in mathematics, statistics, computer science, AI, physics, bioinformatics, and biomedical sciences. It also serves as a foundational reference for researchers developing AI systems grounded in geometry, scientific modeling, and data‑driven discovery.
Key Features
• Unifies core manifold concepts to support integrated thinking across disciplines
• Treats manifolds as natural geometric domains for data representation in AI and the sciences
• Bridges abstract theory with practical algorithms and real‑world applications
• Develops Lie derivative aware graphical neural networks for adaptive‑AI and molecular property prediction
• Develops Lie derivative enhanced reaction‑diffusion equations for disease gene identification and treatment design
• Develops probabilistic modeling and information geometry for modern learning systems
• Applies geometric insight to AI fields, including generative models, graph learning, and reasoning
• Applies the Gauss map and Chen-Gauss-Bonnet theorem to physical AI incorporating geometric constraints for robotics and tumor cell location and range identification
• Features step‑by‑step examples, case studies, and visual explanations to support understanding
• Serves as an advanced educational and skill‑building resource in the age of AI, leveraging the capabilities of emerging AI tools for automatic programming and self‑study
Prima di Memmo, i miei appunti erano sparsi tra mille PDF. Ora uno spazio di lavoro raccoglie tutto in un unico posto, e vedo esattamente cosa mi resta da studiare.
I riassunti di Memmo sono oro puro prima degli esami. Non devo rileggere 800 pagine due settimane prima, solo le parti importanti.
La chat AI mi ha salvato più di una volta la sera prima di un esame. Continuo a chiedere finché non capisco, senza aspettare risposte da un gruppo di studio.
I quiz colpiscono esattamente ciò che devo sapere. Memmo tiene traccia di dove mi blocco, così mi esercito solo su ciò che conta davvero.
Le flashcard con ripetizione spaziata sono magia pura. Memmo sa quando sto per dimenticare qualcosa e me lo ripropone.
I podcast AI sono i miei preferiti. Li ascolto mentre vado a scuola e ripasso senza stare davanti al computer.
Handbok i kvalitativa metoder
281 kr
Hållbar utveckling: en introduktion för ingenjörer och andra problemlösare
334 kr
Brymans Samhällsvetenskapliga metoder
390 kr
Projektledning
491 kr
Den orättvisa hälsan: om socioekonomiska skillnader i hälsa och livslängd
326 kr
Organizational Leadership
429 kr
Vetenskapsteori för nybörjare
196 kr
På väg mot läraryrket
172 kr
Det sociala livet i skolan: Socialpsykologiska perspektiv
253 kr
Betygsättningens didaktik
151 kr
Personality
402 kr
Studying Leadership
404 kr
Managing Innovation
477 kr
Introduktion till samhällsvetenskaplig metod
347 kr
The Psychology of Sex and Gender
698 kr
Introduction to Leadership
605 kr
Evidens och kunskap för socialt arbete
207 kr