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The Calabi-Yau Landscape: From Geometry, to Physics, to Machine Learning (Lecture Notes in Mathematics Book 2293) PDF

214 Pages·2021·2.5 MB·English
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by Yang-hui He| 2021| 214 pages| 2.5| English

About The Calabi-Yau Landscape: From Geometry, to Physics, to Machine Learning (Lecture Notes in Mathematics Book 2293)

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

Detailed Information

Author:Yang-hui He
Publication Year:2021
ISBN:3030775615
Pages:214
Language:English
File Size:2.5
Format:PDF
Price:FREE
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