Fundamental Methods of Mathematical Economics, Fourth Edition
1st Edition
1307461913
·
9781307461916
© 2020 | Published: February 19, 2020
i. Preface 1 Introduction 3 1. The Nature of Mathematical Economics 4 2. Economic Models 8 Static (or Equilibrium) Analysis 33 3. Equilibrium Analysis in Economics 34 4. Linear Models and Matrix Algebra 53 5. Linear Models …
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i. Preface 1
Introduction 3
1. The Nature of Mathematical Economics 4
2. Economic Models 8
Static (or Equilibrium) Analysis 33
3. Equilibrium Analysis in Economics 34
4. Linear Models and Matrix Algebra 53
5. Linear Models and Matrix Algebra (Continued) 87
Comparative-Static Analysis 129
6. Comparative Statics and the Concept of Derivative 130
7. Rules of Differentiation and Their Use in Comparative Statics 155
8. Comparative-Static Analysis of General-Function Models 185
Optimization Problems 227
9. Optimization: A Special Variety of Equilibrium Analysis 228
10. Exponential and Logarithmic Functions 264
11. The Case of More than One Choice Variable 300
12. Optimization with Equality Constraints 356
13. Further Topics in Optimization 411
Dynamic Analysis 453
14. Economic Dynamics and Integral Calculus 454
15. Continuous Time: First-Order Differential Equations 486
16. Higher-Order Differential Equations 514
17. Discrete Time: First-Order Difference Equations 555
18. Higher-Order Difference Equations 579
19. Simultaneous Differential Equations and Difference Equations 603
20. Optimal Control Theory 642
A. The Greek Alphabet 666
B. Mathematical Symbols 667
C. A Short Reading List 670
D. Answers to Selected Exercises 673
E. Index 688
Introduction 3
1. The Nature of Mathematical Economics 4
2. Economic Models 8
Static (or Equilibrium) Analysis 33
3. Equilibrium Analysis in Economics 34
4. Linear Models and Matrix Algebra 53
5. Linear Models and Matrix Algebra (Continued) 87
Comparative-Static Analysis 129
6. Comparative Statics and the Concept of Derivative 130
7. Rules of Differentiation and Their Use in Comparative Statics 155
8. Comparative-Static Analysis of General-Function Models 185
Optimization Problems 227
9. Optimization: A Special Variety of Equilibrium Analysis 228
10. Exponential and Logarithmic Functions 264
11. The Case of More than One Choice Variable 300
12. Optimization with Equality Constraints 356
13. Further Topics in Optimization 411
Dynamic Analysis 453
14. Economic Dynamics and Integral Calculus 454
15. Continuous Time: First-Order Differential Equations 486
16. Higher-Order Differential Equations 514
17. Discrete Time: First-Order Difference Equations 555
18. Higher-Order Difference Equations 579
19. Simultaneous Differential Equations and Difference Equations 603
20. Optimal Control Theory 642
A. The Greek Alphabet 666
B. Mathematical Symbols 667
C. A Short Reading List 670
D. Answers to Selected Exercises 673
E. Index 688
i. Preface 1
Introduction 3
1. The Nature of Mathematical Economics 4
2. Economic Models 8
Static (or Equilibrium) Analysis 33
3. Equilibrium Analysis in Economics 34
4. Linear Models and Matrix Algebra 53
5. Linear Models and Matrix Algebra (Continued) 87
Comparative-Static Analysis 129
6. Comparative Statics and the Concept of Derivative 130
7. Rules of Differentiation and Their Use in Comparative Statics 155
8. Comparative-Static Analysis of General-Function Models 185
Optimization Problems 227
9. Optimization: A Special Variety of Equilibrium Analysis 228
10. Exponential and Logarithmic Functions 264
11. The Case of More than One Choice Variable 300
12. Optimization with Equality Constraints 356
13. Further Topics in Optimization 411
Dynamic Analysis 453
14. Economic Dynamics and Integral Calculus 454
15. Continuous Time: First-Order Differential Equations 486
16. Higher-Order Differential Equations 514
17. Discrete Time: First-Order Difference Equations 555
18. Higher-Order Difference Equations 579
19. Simultaneous Differential Equations and Difference Equations 603
20. Optimal Control Theory 642
A. The Greek Alphabet 666
B. Mathematical Symbols 667
C. A Short Reading List 670
D. Answers to Selected Exercises 673
E. Index 688
Introduction 3
1. The Nature of Mathematical Economics 4
2. Economic Models 8
Static (or Equilibrium) Analysis 33
3. Equilibrium Analysis in Economics 34
4. Linear Models and Matrix Algebra 53
5. Linear Models and Matrix Algebra (Continued) 87
Comparative-Static Analysis 129
6. Comparative Statics and the Concept of Derivative 130
7. Rules of Differentiation and Their Use in Comparative Statics 155
8. Comparative-Static Analysis of General-Function Models 185
Optimization Problems 227
9. Optimization: A Special Variety of Equilibrium Analysis 228
10. Exponential and Logarithmic Functions 264
11. The Case of More than One Choice Variable 300
12. Optimization with Equality Constraints 356
13. Further Topics in Optimization 411
Dynamic Analysis 453
14. Economic Dynamics and Integral Calculus 454
15. Continuous Time: First-Order Differential Equations 486
16. Higher-Order Differential Equations 514
17. Discrete Time: First-Order Difference Equations 555
18. Higher-Order Difference Equations 579
19. Simultaneous Differential Equations and Difference Equations 603
20. Optimal Control Theory 642
A. The Greek Alphabet 666
B. Mathematical Symbols 667
C. A Short Reading List 670
D. Answers to Selected Exercises 673
E. Index 688