Scalar, Vector, and Matrix Mathematics : : Theory, Facts, and Formulas - Revised and Expanded Edition / / Dennis S. Bernstein.
The essential reference book on matrices-now fully updated and expanded, with new material on scalar and vector mathematicsSince its initial publication, this book has become the essential reference for users of matrices in all branches of engineering, science, and applied mathematics. In this revis...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2018 |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2018] ©2018 |
| Year of Publication: | 2018 |
| Language: | English |
| Online Access: | |
| Physical Description: | 1 online resource (1600 p.) :; 2 line illus. |
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Table of Contents:
- Frontmatter
- Contents
- Preface to the Revised and Expanded Edition
- Preface to the Second Edition
- Preface to the First Edition
- Special Symbols
- Conventions, Notation, and Terminology
- 1. Sets, Logic, Numbers, Relations, Orderings, Graphs, and Functions
- 2. Equalities and Inequalities
- 3. Basic Matrix Properties
- 4. Matrix Classes and Transformations
- 5. Geometry
- 6. Polynomial Matrices and Rational Transfer Functions
- 7. Matrix Decompositions
- 8. Generalized Inverses
- 9. Kronecker and Schur Algebra
- 10. Positive-Semidefinite Matrices
- 11. Norms
- 12. Functions, Limits, Sequences, Series, Infinite Products, and Derivatives
- 13. Infinite Series, Infinite Products, and Special Functions
- 14. Integrals
- 15. The Matrix Exponential and Stability Theory
- 16. Linear Systems and Control Theory
- Bibliography
- Author Index
- Subject Index