Table of contents for Linear algebra and its applications / Peter D. Lax.

Bibliographic record and links to related information available from the Library of Congress catalog.

Note: Contents data are machine generated based on pre-publication provided by the publisher. Contents may have variations from the printed book or be incomplete or contain other coding.


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Contents
Preface vii
Preface to the First Edition ix
1. Fundamentals 1
2. Duality 13
3. Linear Mappings 19
4. Matrices 32
5. Determinant and Trace 44
6. Spectral Theory 58
7. Euclidean Structure 77
8. Spectral Theory of Self-Adjoint Mappings
of a Euclidean Space into Itself 101
9. Calculus of Vector- and Matrix-Valued Functions 121
10. Matrix Inequalities 143
11. Kinematics and Dynamics 172
12. Convexity 187
13. The Duality Theorem 202
14. Normed Linear Spaces 214
15. Linear Mappings Between Normed Linear Spaces 229
16. Positive Matrices 237
17. How to Solve Systems of Linear Equations 246
18. How to Calculate the Eigenvalues of Self-Adjoint Matrices 262
19. Solutions of Selected Exercises 278
Bibliography 300
Appendix 1. Special Determinants 302
Appendix 2. The Pfaffian 305
Appendix 3. Symplectic Matrices 308
Appendix 4. Tensor Product 313
Appendix 5. Lattices 317
Appendix 6. Fast Matrix Multiplication 320
Appendix 7. Gershgorin?s Theorem 323
Appendix 8. The Multiplicity of Eigenvalues 325
Appendix 9. The Fast Fourier Transform 328
Appendix 10. The Spectral Radius 334
Appendix 11. The Lorentz Group 342
Appendix 12. Compactness of the Unit Ball 352
Appendix 13. A Characterization of Commutators 355
Appendix 14. Liapunov?s Theorem 357
Appendix 15. The Jordan Canonical Form 363
Appendix 16. Numerical Range 367
Index 000
List of Series Titles 000

Library of Congress Subject Headings for this publication:

Algebras, Linear.