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Classics in Applied Mathematics: Book 12
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Description edit
Long considered to be a classic in its field, this was the first book in English to include three basic fields of the analysis of matrices -- symmetric matrices and quadratic forms, matrices and differential equations, and positive matrices and their use in probability theory and mathematical... read more
Table of Contents edit
1. Maximization, Minimization, and Motivation
2. Vectors and Matrices
3. Diagonalization and Canonical Forms for Symmetric Matrices
4. Reduction of General Symmetric Matrices to Diagonal Form
5. Constrained Maxima
6. Functions of Matrices
7. Variational Description of Characteristic Roots
8. Inequalities
9. Dynamic Programming
10. Matrices and Differential Equations
11. Explicit Solutions and Canonical Forms
12. Symmetric Functions, Kronecker Products and Circulants
13. Stability Theory
14. Markoff Matrices and Probability Theory
15. Stochastic Matrices
16. Positive Matrices, Perron's Theorem, and Mathematical Economics
17. Control Processes
18. Invariant Imbedding
19. Numerical Inversion of the Laplace Transform and Tychonov Regularization
Appendix A: Linear Equations and Rank
Appendix B: The Quadratic Form of Selberg
Appendix C: A Method of Hermite
Appendix D: Moments and Quadratic Forms
Series & Lists edit
This is book 12 of 70 in Classics in Applied Mathematics. (publisher series)
Preceded by Theory of the Combination of Observations Least Subject to Errors, and followed by Numerical Solution of Boundary Value Problems for Ordinary Differential Equations.
Authors & Contributors edit
- Richard Ernest Bellman (Author)
Classification edit
- Library of Congress: Add the Library of Congress Classification.
- Dewey: 512.9434
Subjects edit
- Books › Professional & Technical › Professional Science › Mathematics › Pure Mathematics › Algebra
- Books › Science › Mathematics › Pure Mathematics › Algebra
- Books › Science › Mathematics › Matrices
- Books › Science › Mathematics › Applied
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