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Invitation to Nonlinear Algebra Mateusz Michalek

Invitation to Nonlinear Algebra By Mateusz Michalek

Invitation to Nonlinear Algebra by Mateusz Michalek


$27.49
Condition - Very Good
Out of stock

Summary

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.

Invitation to Nonlinear Algebra Summary

Invitation to Nonlinear Algebra by Mateusz Michalek

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.

Table of Contents

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

Additional information

GOR013030634
9781470465513
1470465515
Invitation to Nonlinear Algebra by Mateusz Michalek
Used - Very Good
Paperback
American Mathematical Society
20210730
226
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in very good condition, but if you are not entirely satisfied please get in touch with us

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