Can artificial intelligence learn mathematics? The question is at the
heart of this original monograph bringing together theoretical
physics, modern geometry, and data science. The study of Calabi–Yau
manifolds lies at an exciting intersection between physics and
mathematics. Recently, there has been much activity in applying
machine learning to solve otherwise intractable problems, to
conjecture new formulae, or to understand the underlying structure of
mathematics. In this book, insights from string and quantum field
theory are combined with powerful techniques from complex and
algebraic geometry, then translated into algorithms with the ultimate
aim of deriving new information about Calabi–Yau manifolds. While
the motivation comes from mathematical physics, the techniques are
purely mathematical and the theme is that of explicit calculations.
The reader is guided through the theory and provided with explicit
computer code in standard software such as SageMath, Python and
Mathematica to gain hands-on experience in applications of artificial
intelligence to geometry. Driven by data and written in an informal
style, The Calabi–Yau Landscape makes cutting-edge topics in
mathematical physics, geometry and machine learning readily accessible
to graduate students and beyond. The overriding ambition is to
introduce some modern mathematics to the physicist, some modern
physics to the mathematician, and machine learning to both.
Les mer
From Geometry, to Physics, to Machine Learning
Produktdetaljer
ISBN
9783030775629
Publisert
2021
Utgiver
Springer Nature
Språk
Product language
Engelsk
Format
Product format
Digital bok
Forfatter