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The Calabi–Yau Landscape: From Geometry, to Physics, to Machine Learning
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Catalogue Information
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Details
Dewey Class
516.35
Title
The Calabi–Yau Landscape ([Ebook]) : From Geometry, to Physics, to Machine Learning / Yang-Hui He
Author
He, Yang-Hui
Publication
Cham : Springer International Publishing , 2021
Physical Details
1 online resource (xvii, 206 pages, ill.)
Series
Lecture Notes in Mathematics
; 2293
ISBN
978-3-030-77562-9
Summary Note
"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." (Provided by Publisher):
Mode of acces to digital resource
Digital reproduction.- Cham : Springer International Publishing, 2021. - Mode of access : World Wide Web. - System requirements : Internet Explorer 6.0 (or higher) of Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note
Online access to this digital book is restricted to subscription institutions through IP address and through Springer’s online platform. Limited User Access (1 digital Copy Available ONLY for SISSA internal users)
Internet Site
https://doi.org/10.1007/978-3-030-77562-9
Links to Related Works
Subject References:
Algebraic Geometry
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Computer software
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Machine Learning
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Mathematical Physics
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Authors:
He, Yang-Hui
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Series:
Lecture Notes in Mathematics
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Classification:
516.35
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