The CalabiYau landscape : from geometry, to physics, to machine learning / YangHui He.
 Publication:
 Cham, Switzerland : Springer, 2021.
 Format/Description:
 Book
xvii, 203 pages : illustrations ; 24 cm.  Series:
 Lecture notes in mathematics (SpringerVerlag) ; 2293.
Lecture Notes in Mathematics, 00758434 ; volume 2293  Status/Location:

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Details
 Subjects:
 CalabiYau manifolds.
 Summary:
 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 CalabiYau 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 CalabiYau 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 handson experience in applications of artificial intelligence to geometry. Driven by data and written in an informal style, The CalabiYau Landscape makes cuttingedge 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.
 Notes:
 Includes bibliographical references (pages 183199) and index.
Includes bibliographical references and index.  ISBN:
 3030775615
9783030775612
9783030775629  OCLC:
 1249070465
 Web link:
 18509999