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Invitation to nonlinear algebra

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Datum

2021

Autor:innen

Sturmfels, Bernd

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ISBN

978-1-4704-5367-1
Bibliografische Daten

Verlag

Providence, Rhode Island: American Mathematical Society

Schriftenreihe

Graduate studies in mathematics; 211

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Monographie
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Published

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Zusammenfassung

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.

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Fachgebiet (DDC)
510 Mathematik

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ISO 690MICHALEK, Mateusz, Bernd STURMFELS, 2021. Invitation to nonlinear algebra. Providence, Rhode Island: American Mathematical Society. ISBN 978-1-4704-5367-1
BibTex
@book{Michalek2021Invit-53971,
  year={2021},
  isbn={978-1-4704-5367-1},
  publisher={American Mathematical Society},
  address={Providence, Rhode Island},
  series={Graduate studies in mathematics},
  title={Invitation to nonlinear algebra},
  number={211},
  url={https://bookstore.ams.org/gsm-211},
  author={Michalek, Mateusz and Sturmfels, Bernd}
}
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2021-06-14

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