Graduate Studies in Mathematics
Volume: 211; 2021; 226 pp; Softcover
MSC: Primary 05; 13; 14; 15; 20; 52; 90;

Print ISBN: 978-1-4704-6551-3
Product Code: GSM/211.S
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MAA Member Price: $76.50

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Electronic ISBN: 978-1-4704-6308-3
Product Code: GSM/211.E
List Price: $85.00
AMS Member Price: $68.00
MAA Member Price: $76.50

Sale price: $51.00

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Invitation to Nonlinear Algebra

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Mateusz Michałek; Bernd Sturmfels

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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Graduate students and researchers interested in nonlinear algebra.

Invitation to Nonlinear Algebra

Base Product Code Keyword List: gsm; GSM; gsm/211; GSM/211; gsm-211; GSM-211

Print Product Code: GSM/211.S

Online Product Code: GSM/211.E

Title (HTML): Invitation to Nonlinear Algebra

Author(s) (Product display): Mateusz Michałek; Bernd Sturmfels

Affiliation(s) (HTML): Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany and University of Konstanz, Konstanz, Germany; Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany

Abstract:

Book Series Name: Graduate Studies in Mathematics

Volume: 211

Publication Month and Year: 2021-03-22

Page Count: 226

Cover Type: Softcover

Print ISBN-13: 978-1-4704-6551-3

Online ISBN 13: 978-1-4704-6308-3

Print ISSN: 1065-7339

Online ISSN: 1065-7339

Primary MSC: 05; 13; 14; 15; 20; 52; 90

Textbook?: true

Applied Math?: true

MAA Book?: false

Inquiry Based Learning?: false

Electronic Media?: false

Apparel or Gift: false

SXG Subject: AA; AP; NT; DM; GT

Supplemental Materials (URL at AMS): https://www.ams.org/bookpages/gsm-211

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Print Price 2 Label: AMS Member

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Online Price 3: 76.50

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Bundlel Price 1: 127.50

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Readership:

Graduate students and researchers interested in nonlinear algebra.

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