Invitation to Nonlinear Algebra
eBook - ePub

Invitation to Nonlinear Algebra

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Invitation to Nonlinear Algebra

Book details
Table of contents
Citations

About This Book

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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Yes, you can access Invitation to Nonlinear Algebra by Mateusz Michałek, Bernd Sturmfels in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher
American Mathematical Society
Year
2023
ISBN
9781470468316
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Publisher’s Notice
  2. Preface
  3. Acknowledgments
  4. Chapter 1. Polynomial Rings
  5. Chapter 2. Varieties
  6. Chapter 3. Solving and Decomposing
  7. Chapter 4. Mapping and Projecting
  8. Chapter 5. Linear Spaces and Grassmannians
  9. Chapter 6. Nullstellensätze
  10. Chapter 7. Tropical Algebra
  11. Chapter 8. Toric Varieties
  12. Chapter 9. Tensors
  13. Chapter 10. Representation Theory
  14. Chapter 11. Invariant Theory
  15. Chapter 12. Semidefinite Programming
  16. Chapter 13. Combinatorics
  17. Bibliography