
- 468 pages
- English
- PDF
- Available on iOS & Android
About this book
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.
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Information
Table of contents
- CONTENTS
- INTRODUCTION
- ACKNOWLEDGEMENTS
- CHAPTER I ROW-OPERATIONS AND TABLEAUS
- CHAPTER II MATRIX NOTATION
- CHAPTER III SOME STRUCTURED MATRICES AND OPERATORS
- CHAPTER IV BLOCK-EQUATIONS AND INVERSION
- CHAPTER V DETERMINANTS AND RANK
- CHAPTER VI DEFINITENESS AND SYMMETRY
- CHAPTER VII LATENT ROOTS AND CHARACTERISTIC VECTORS
- CHAPTER VIII MORE ABOUT ROOTS AND VECTORS
- CHAPTER IX SYMMETRIC EIGENVALUE PROBLEMS
- CHAPTER X GEOMETRICAL INTERPRETATIONS
- CHAPTER XI NON-NEGATIVE SQUARE MATRICES
- REFERENCES
- INDEXES