Mathematical Methods for Economics : Tools and Applications
Publication details: Nairobi East African Educational Publishers 2008cDescription: xiv,751p.: ill. 25cmISBN:- 9789966254931
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TABLE OF CONTENTS
PART ONE: INTRODUCTION
Contents v
Dedication xii
Preface xiii
Acknowledgements xiv
1. The necessity for a Mathematical Approach in Economics 2-6
2. Basic Principles in Scalar Algebra 7-53
3. Linear and Quadratic Equations and Inequations 61-71
PART TWO: UNIVARIATE FUNCTIONS AND FINANCIAL ECONOMICS
4. Univariate Functions-77-97
5. Univariate Nonlinear Functions 103-123
6. Exponential and Logarithmic Functions 126-158
7. Mathematics of Finance 163-196
PART THREE: THE DERIVATIVE AND DIFFERENTIATION OF UNIVARIATE FUNCTIONS
8. Differentiation I: From Limits to The Derivative 204-217
9. A Selection of Functions I: A Set of Functions Frequently Applied in Economics 227- 243
10. Differentiation II: Rules of Differentiation and Polynomial Approximations 249-300
11. A Selection of Functions II: Additional Functions Frequently Applied in Economics 304-324
12. Differentiation III: Exponential and Logarithmic Functions 330- 349
PART FOUR: BIVARIATE AND MULTIVARIATE FUNCTIONS AND COMPARATIVE STATIC ANALYSIS
13. Bivariate, Multivariate, Specific and General Functions 353-358
14. Partial Differentiation and Comparative Static Analysis 362-387
15. Differentials 393-410
PART FIVE: MATRIX ALGEBRA
16. Matrix Algebra I: Basic Concepts 415- 449
17. Matrix Algebra II: Determinants, Matrix Inverse, and Systems of Equations 457-504
18. Matrix Algebra III: Selected Topics 512-547
PART SIX: OPTIMIZATION
19. Free Optimization of Univariate Models 555-574
20. Free Optimization for Bivariate Models 578-593
21. Free Optimization for Univariate Logarithmic and Exponential Functions 596- 604
22. Constrained Optimization of Bivariate Models 608-631
PART SEVEN: DYNAMIC ANALYSIS
23. Integration 636-670
24. Linear First Order Differential Equations 674-698
25. Linear First Order Difference Equations 702- 733
Appendix I: Mathematical Symbols 739
Appendix II: Greek Symbols 740
Reference and Reading List 741
Index 742
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