LIKE NEW: The book is very tight as if it was rarely used. The pages are clean, and the covers and spine are also in excellent condition.
Product Details
"Linear Algebra and Its Applications, Second Edition presents linear algebra as the theory and practice of linear spaces and linear maps with a unique focus on the analytical aspect as well as the numerous applications of the subject. In addition to thorough coverage of linear equations, matrices, vector spaces, game theory, and numerical analysis, the Second Edition features student friendly additions that enhance the books accessibility, including expanded topical coverage in the early chapters, additional exercises, and solutions to selected problems."—from the back cover.
Chapters include:
Preface
Preface to the First Edition
1. Fundamentals
2. Duality
3. Linear Mapping
4. Matrices
5. Determinant and Trace
6. Spectral Theory
7. Euclidean Structure
8. Special Theory of Self-Adjoint Mappings
9. Calculator of Vector- and Matrix-Valued Functions
10. Matrix Inequalities
11. Kinematics and Dynamics
12. Convexity
13. The Duality Theorem
14. Normed Linear Spaces
15. Linear Mapping Between Normed Linear Spaces
16. Positive matrices
17. How to Solve Systems of Linear Equations
18. How to Calculate the Eigenvalues of Self-Adjoint Matrices
19. Solutions
Bibliography
Appendix 1. Special Determinants
Appendix 2. The Pfaffian
Appendix 3. Symplectic Matrices
Appendix 4. Tensor Product
Appendix 5. Lattices
Appendix 6. Fast Matrix Multiplication
Appendix 7. Gershgortin’s Theorem
Appendix 8. The Multiplicity of Eigenvalues
Appendix 9. The fast Fourier Transform
Appendix 10. The Spectral Radius
Appendix 11. The Lorentz Group
Appendix 12. Compactness of the Unit Ball
Appendix 13. A Characterization of Commutators
Appendix 14. Liapunov’s Theorem
Appendix 15. The Jordan Canonical Form
Appendix 16. Numerical Range
Index
