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Nearly half of the book is devoted to a survey of univariate calculus, matrix algebra and multuvariate calculus. This fundamental material is made vigorous by the inclusion of a variety of applications. The later chapters focus on the Lagrange multiplier technique: when it will work, why it works and what economic insights it yields. The properties of maximum value functions and duality are explored, as are the Hamiltonian conditions for dynamic problems in the optimal control format. Dynamic programming and the calculus of variations are also covered.
Much of the discussion proceeds at a heuristic level and by worked example, but the theorems and proofs required by the most analytical user are also to be found. The underlying message is that the language of mathematics can be productive, giving expression to the ideas and facilitating approaches from which insights flow that may be hard to come by in other ways.
The book will be particularly useful for final year undergraduates doing mathematics for economists courses, and postgraduate students.
Nearly half of the book is devoted to a survey of univariate calculus, matrix algebra and multuvariate calculus. This fundamental material is made vigorous by the inclusion of a variety of applications. The later chapters focus on the Lagrange multiplier technique: when it will work, why it works and what economic insights it yields. The properties of maximum value functions and duality are explored, as are the Hamiltonian conditions for dynamic problems in the optimal control format. Dynamic programming and the calculus of variations are also covered.
Much of the discussion proceeds at a heuristic level and by worked example, but the theorems and proofs required by the most analytical user are also to be found. The underlying message is that the language of mathematics can be productive, giving expression to the ideas and facilitating approaches from which insights flow that may be hard to come by in other ways.
The book will be particularly useful for final year undergraduates doing mathematics for economists courses, and postgraduate students.
Peter J. Lambert is the author of Advanced Mathematics for Economists: Static and Dynamic Optimization, published by Wiley.
Glossary of Notation xi
PART I BASIC MATERIAL
1 Univariate Calculus 1
2 Matrix Algebra 39
3 Multivariate Calculus 72
PART II STATIC AND DYNAMIC OPTIMIZATION
4 Equality-Constrained Optimization 101
5 Inequality-Constrained Optimization 115
6 The Maximum Value Function 140
7 Dynamic Optimization 160
Appendix 205
References 211
Answers to exercises 214
Index 227
| Erscheinungsjahr: | 1995 |
|---|---|
| Fachbereich: | Allgemeines |
| Genre: | Importe, Wirtschaft |
| Rubrik: | Recht & Wirtschaft |
| Medium: | Taschenbuch |
| Inhalt: | Kartoniert / Broschiert |
| ISBN-13: | 9780631141396 |
| ISBN-10: | 0631141391 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Lambert, Peter J |
| Hersteller: | Wiley |
| Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
| Maße: | 229 x 152 x 15 mm |
| Von/Mit: | Peter J Lambert |
| Erscheinungsdatum: | 04.12.1995 |
| Gewicht: | 0,408 kg |
Peter J. Lambert is the author of Advanced Mathematics for Economists: Static and Dynamic Optimization, published by Wiley.
Glossary of Notation xi
PART I BASIC MATERIAL
1 Univariate Calculus 1
2 Matrix Algebra 39
3 Multivariate Calculus 72
PART II STATIC AND DYNAMIC OPTIMIZATION
4 Equality-Constrained Optimization 101
5 Inequality-Constrained Optimization 115
6 The Maximum Value Function 140
7 Dynamic Optimization 160
Appendix 205
References 211
Answers to exercises 214
Index 227
| Erscheinungsjahr: | 1995 |
|---|---|
| Fachbereich: | Allgemeines |
| Genre: | Importe, Wirtschaft |
| Rubrik: | Recht & Wirtschaft |
| Medium: | Taschenbuch |
| Inhalt: | Kartoniert / Broschiert |
| ISBN-13: | 9780631141396 |
| ISBN-10: | 0631141391 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Lambert, Peter J |
| Hersteller: | Wiley |
| Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
| Maße: | 229 x 152 x 15 mm |
| Von/Mit: | Peter J Lambert |
| Erscheinungsdatum: | 04.12.1995 |
| Gewicht: | 0,408 kg |
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