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Library | Materyal Türü | Barkod | Yer Numarası | Durum |
|---|---|---|---|---|
Searching... Pamukkale Merkez Kütüphanesi | Kitap | 0051958 | HB135A62 2008 | Searching... Unknown |
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Özet
Özet
Mathematics has become indispensable in the modelling of economics, finance, business and management. Without expecting any particular background of the reader, this book covers the following mathematical topics, with frequent reference to applications in economics and finance: functions, graphs and equations, recurrences (difference equations), differentiation, exponentials and logarithms, optimisation, partial differentiation, optimisation in several variables, vectors and matrices, linear equations, Lagrange multipliers, integration, first-order and second-order differential equations. The stress is on the relation of maths to economics, and this is illustrated with copious examples and exercises to foster depth of understanding. Each chapter has three parts: the main text, a section of further worked examples and a summary of the chapter together with a selection of problems for the reader to attempt. For students of economics, mathematics, or both, this book provides an introduction to mathematical methods in economics and finance that will be welcomed for its clarity and breadth.
Reviews (1)
Choice Review
This fine little book is intended for readers in management, accounting, finance, and economics who have studied some calculus and are interested in how rudimentary mathematics is used in economic theory. This is somewhat more than a good handbook on basic mathematical concepts, methods, and applications to economics. The authors cover quite a wide range of topics, from elementary calculus to constrained maximization and first- and second-order differential equations with constant coefficients. Fundamentals of linear algebra are also discussed. This book competes well with books like Mathematical Economics: An Integrated Approach, by J.E. Rowcroft (1994), or Mathematical Economics, by Jeffrey Baldani, James Bradfield, and Robert Turner (1996); it will be welcomed for its clarity. However, its objective--breadth and depth--is more modest than that of such books as Mathematics for Economic Analysis, by Knut Sydsaeter and Peter J. Hammond (1995), or Mathematics for Economists, by Carl P. Simon and Lawrence Blume (1994). Recommended for students in business and for undergraduates in economics. G. A. Kondor Lakehead University
Table of Contents
| 1 Mathematical models in economics |
| 2 Mathematical terms and notations |
| 3 Sequences, recurrences and limits |
| 4 Elements of finance |
| 5 The cobweb model |
| 6 Introduction to calculus |
| 7 Some special functions |
| 8 Introduction to optimisation |
| 9 The derivative in economics I |
| 10 The derivative in economics II |
| 11 Partial derivatives |
| 12 Applications of partial derivatives |
| 13 Optimisation in two variables |
| 14 Vectors, preferences and convexity |
| 15 Matrix algebra |
| 16 Linear equations I |
| 17 Linear equations II |
| 18 Inverse matrices |
| 19 The input output model |
| 20 Determinants |
| 21 Constrained optimisation |
| 22 Lagrangians and the consumer |
| 23 Second-order recurrence equations |
| 24 Macroeconomic applications |
| 25 Areas and integrals |
| 26 Techniques of integration |
| 27 First-order differential equations |
| 28 Second-order differential equations |
| Selected solutions |