Nonlinear algebra provides modern mathematical tools to address
challenges arising in the sciences and engineering. It is useful
everywhere, where polynomials appear: in particular, data and
computational sciences, statistics, physics, optimization. The book
offers an invitation to this broad and fast-developing area. It is
not an extensive encyclopedia of known results, but rather a first
introduction to the subject, allowing the reader to enter into more
advanced topics. It was designed as the next step after linear
algebra and well before abstract algebraic geometry. The book
presents both classical topics--like the Nullstellensatz and
primary decomposition--and more modern ones--like tropical geometry
and semidefinite programming. The focus lies on interactions and
applications. Each of the thirteen chapters introduces fundamental
concepts. The book may be used for a one-semester course, and the
over 200 exercises will help the readers to deepen their
understanding of the subject.
General
Imprint: |
American Mathematical Society
|
Country of origin: |
United States |
Series: |
Graduate Studies in Mathematics |
Release date: |
February 2021 |
Authors: |
Mateusz Michalek
• Bernd Sturmfels
|
Dimensions: |
181 x 255 x 19mm (L x W x T) |
Format: |
Paperback
|
Pages: |
226 |
ISBN-13: |
978-1-4704-6551-3 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
LSN: |
1-4704-6551-5 |
Barcode: |
9781470465513 |
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