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Metric Algebraic Geometry (Oberwolfach Seminars #53) book cover by Paul Breiding, Kathlén Kohn, Bernd Sturmfels
Paperback

Metric Algebraic Geometry (Oberwolfach Seminars #53)

by Paul Breiding, Kathlén Kohn and Bernd Sturmfels

From $43.99 / copy at 25+ copies; lower per-copy prices at higher quantities (see Volume pricing) As low as $42.99 at 100+

Total $1,099.75

Paperback · 215 pages Springer Nature Switzerland · 2024

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About the book

Metric Algebraic Geometry (Oberwolfach Seminars #53)

Metric algebraic geometry combines concepts from algebraic geometry and differential geometry. Building on classical foundations, it offers practical tools for the 21st century. Many applied problems center around metric questions, such as optimization with respect to distances.

After a short dive into 19th-century geometry of plane curves, we turn to problems expressed by polynomial equations over the real numbers. The solution sets are real algebraic varieties. Many of our metric problems arise in data science, optimization and statistics. These include minimizing Wasserstein distances in machine learning, maximum likelihood estimation, computing curvature, or minimizing the Euclidean distance to a variety.

This book addresses a wide audience of researchers and students and can be used for a one-semester course at the graduate level. The key prerequisite is a solid foundation in undergraduate mathematics, especially in algebra and geometry.

This is an openaccess book.



Details

Publisher
Springer Nature Switzerland
Authors
Paul Breiding, Kathlén Kohn, Bernd Sturmfels
Format
Paperback
Published
Feb 28, 2024
ISBN-13
9783031514616
Pages
215
Printing
Printed on demand
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