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Topological Persistence In Geometry And Analysis University Lecture Series Karina Samvelyan Author Jun Zhang Author Leonid Polterovich Author

  • SKU: BELL-33353782
Topological Persistence In Geometry And Analysis University Lecture Series Karina Samvelyan Author Jun Zhang Author Leonid Polterovich Author
$ 31.00 $ 45.00 (-31%)

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Topological Persistence In Geometry And Analysis University Lecture Series Karina Samvelyan Author Jun Zhang Author Leonid Polterovich Author instant download after payment.

Publisher: American Mathematical Society
File Extension: PDF
File size: 9.57 MB
Pages: 140
Author: Karina Samvelyan (author) & Jun Zhang (author) Leonid Polterovich (author), Daniel Rosen (author)
ISBN: 9781470454951, 1470454955
Language: English
Year: 2020

Product desciption

Topological Persistence In Geometry And Analysis University Lecture Series Karina Samvelyan Author Jun Zhang Author Leonid Polterovich Author by Karina Samvelyan (author) & Jun Zhang (author) Leonid Polterovich (author), Daniel Rosen (author) 9781470454951, 1470454955 instant download after payment.

The theory of persistence modules originated in topological data analysis and became an active area of research in algebraic topology. This book provides a concise and self-contained introduction to persistence modules and focuses on their interactions with pure mathematics, bringing the reader to the cutting edge of current research. In particular, the authors present applications of persistence to symplectic topology, including the geometry of symplectomorphism groups and embedding problems. Furthermore, they discuss topological function theory, which provides new insight into oscillation of functions. The book is accessible to readers with a basic background in algebraic and differential topology.

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