Matrices and Their Roots: A Textbook of Matrix Algebra
Author: A. R. Heesterman
444 pages World Scientific Pub Co Inc (December 1990) $44.00
djvu, 4 MB
Summary:
This textbook addresses itself to two groups of students who need mathematics in an applied context: undergraduates starting at the beginning, and postgraduates who need reference-material, but who, not being mathematics specialists, nevertheless are not best served by an ordinary mathematics textbook, which will generally be at a higher level of abstraction. It gives full proofs throughout, and is illustrated with a large number of numerical examples, reinforcing the student's grasp of the topics covered by exercises and corresponding answersheets, and by the corresponding tutorial program ILLUSTRATE. The program 'Illustrate' will run on any IBM compatible micro-computer. The relevant areas of application are economics, econometrics, mathematical programming and engineering.
Contents:
* Row-Operations and Tableaus
* Matrix Notation
* Some Structured Matrices and Operators
* Block-Equations and Inversion
* Determinants and Rank
* Definiteness and Symmetry
* Latent Roots and Characteristic Vectors
* More About Roots and Vectors
* Symmetric Eigenvalue Problems
* Geometrical Interpretations
* Non-Negative Square Matrices
Readership: Undergraduate, postgraduate students in mathematical economics, econometrics and operations research.
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