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The Calabi-Yau Landscape - From Geometry, to Physics, to Machine Learning (Paperback, 1st ed. 2021)
Loot Price: R1,854
Discovery Miles 18 540
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The Calabi-Yau Landscape - From Geometry, to Physics, to Machine Learning (Paperback, 1st ed. 2021)
Series: Lecture Notes in Mathematics, 2293
Expected to ship within 10 - 15 working days
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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.
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