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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Calabi-Yau Landscape: From Geometry, to Physics, to Machine Learning

The Calabi-Yau Landscape: From Geometry, to Physics, to Machine Learning

He, Yang-Hui

Paperback

Series: Lecture Notes in Mathematics, Book 2293

General ComputersGeometryPhysics

ISBN10: 3030775615
ISBN13: 9783030775612
Publisher: Springer Nature
Published: Aug 2 2021
Pages: 206
Weight: 0.71
Height: 0.48 Width: 6.14 Depth: 9.21
Language: English
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.

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