Artificial Intelligence in Mathematics From Transformers to Large Language Model Assistants
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Artificial Intelligence in Mathematics
From Transformers to Large Language Model Assistants
Miquel Noguer i Alonso | Daniel Bloch
Artificial Intelligence is rapidly transforming mathematics, reshaping how problems are explored, solved, verified, and even discovered. In Artificial Intelligence in Mathematics: From Transformers to Large Language Model Assistants, Miquel Noguer i Alonso and Daniel Bloch provide a comprehensive and forward-looking examination of this emerging frontier.
Bridging the worlds of modern AI and mathematical reasoning, the book explores how transformer architectures, large language models, neural-symbolic systems, and formal verification tools are changing the practice of mathematics. Readers will discover how AI can tackle symbolic computation, theorem proving, differential equations, linear algebra, optimization, geometric reasoning, scientific machine learning, and mathematical discovery.
Moving beyond headlines and hype, the authors present a rigorous framework for understanding the strengths, limitations, and reliability of AI-powered mathematical systems. They introduce a verification-centered approach in which generation, search, and pattern recognition are combined with formal proof, symbolic validation, and computational certification to produce trustworthy mathematical results.
Drawing on the latest developments in large language models, reinforcement learning, theorem provers, and AI-assisted discovery systems, this book offers both conceptual foundations and practical methodologies for researchers, educators, students, quantitative professionals, and anyone interested in the future of mathematical intelligence.
At the intersection of mathematics, computer science, and artificial intelligence, this timely volume reveals how machines are evolving from computational tools into collaborative partners in mathematical reasoning and discovery.
Miquel Noguer i Alonso is a financial professional and academic with over thirty years of experience in the industry. He is the Founder of the Artificial Intelligence Finance Institute, Head of AI at Captide, and Head of Development at Global AI; his previous roles include Executive Director at UBS AG and CIO at Andbank, and he served for a decade on the European Investment Committee at UBS. He sits on the advisory boards of the FDP Institute and the CFA Society New York. As an academic, he teaches artificial intelligence, big data, and fintech at institutions including the NYU Courant Institute, NYU Tandon, Columbia University, and ESADE, and in 2017 he pioneered the first fintech and big-data course at London Business School. He holds an MBA and a degree in business administration from ESADE and a PhD in quantitative finance from UNED, along with further professional certifications. His research interests span asset allocation, machine learning, algorithmic trading, and fintech, and he is the author of one hundred papers on artificial intelligence, as well as the books Artificial Intelligence in Finance (Risk Books) and Quantitative Portfolio Optimization (Wiley).
Daniel Bloch is a researcher and lecturer in Artificial Intelligence and Mathematical Finance. He is a Distinguished Visiting Professor at VinUniversity, where he leads Q1-level research, supervises students, and contributes to research programmes in AI applied to finance, and a lecturer at Université Paris 1 Panthéon-Sorbonne, where he teaches Systematic and Algorithmic Trading, as well as at the Certificate in Quantitative Finance (CQF), where he teaches Reinforcement Learning. His research focuses on applied mathematics, stochastic modelling, derivatives pricing, portfolio optimisation, and reinforcement learning for decision-making under uncertainty, with publications in leading quantitative finance journals.
| Publication Date: | 03 December 2026 |
| Publisher: | Springer Nature Switzerland |
| Imprint: | Springer |
| ISBN-13: | 9783032391384 |
| Format: | Hardback |
| Page Count: | 372 |