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Invitation to Nonlinear Algebra

About this Title

Mateusz Michałek, Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany and Bernd Sturmfels, Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany

Publication: Graduate Studies in Mathematics
Publication Year: 2021; Volume 211
ISBNs: 978-1-4704-5367-1 (print); 978-1-4704-6308-3 (online)
DOI: https://doi.org/10.1090/gsm/211

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Table of Contents

Chapters

  • Polynomial rings
  • Varieties
  • Solving and decomposing
  • Mapping and projecting
  • Linear spaces and Grassmannians
  • Nullstellensätze
  • Tropical algebra
  • Toric varieties
  • Tensors
  • Representation theory
  • Invariant theory
  • Semidefinite programming
  • Combinatorics

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