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Linear Algebra in Action, Second edition

About this Title

Harry Dym, Weizmann Institute of Science, Rehovot, Israel

Publication: Graduate Studies in Mathematics
Publication Year: 2007; Volume 78
ISBNs: 978-1-4704-0908-1 (print); 978-1-4704-1443-6 (online)
DOI: https://doi.org/10.1090/gsm/078
MathSciNet review: MR3154813
MSC: Primary 15-01; Secondary 26-01, 30-01, 34-01, 39-01, 52-01, 93-01

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Table of Contents

Chapters

  • Chapter 1. Vector spaces
  • Chapter 2. Gaussian elimination
  • Chapter 3. Additional applications of Gaussian elimination
  • Chapter 4. Eigenvalues and eigenvectors
  • Chapter 5. Determinants
  • Chapter 6. Calculating Jordan forms
  • Chapter 7. Normed linear spaces
  • Chapter 8. Inner product spaces and orthogonality
  • Chapter 9. Symmetric, Hermitian and normal matrices
  • Chapter 10. Singular values and related inequalities
  • Chapter 11. Pseudoinverses
  • Chapter 12. Triangular factorization and positive definite matrices
  • Chapter 13. Difference equations and differential equations
  • Chapter 14. Vector-valued functions
  • Chapter 15. The implicit function theorem
  • Chapter 16. Extremal problems
  • Chapter 17. Matrix-valued holomorphic functions
  • Chapter 18. Matrix equations
  • Chapter 19. Realization theory
  • Chapter 20. Eigenvalue location problems
  • Chapter 21. Zero location problems
  • Chapter 22. Convexity
  • Chapter 23. Matrices with nonnegative entries
  • Appendix A. Some facts from analysis
  • Appendix B. More complex variables