Mathematics for Economics and Finance: Methods and Modelling / Edition 1

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Overview

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. Throughout, the stress is firmly on how the mathematics relates to economics, and this is illustrated with copious examples and exercises that will foster depth of understanding. Each chapter has three parts: the main text, where key concepts are developed; a section of further worked examples, where sample problems are fully solved; 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.
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Editorial Reviews

From the Publisher
'Throughout, the stress is firmly on how the mathematics relates to economics, and this is illustrated with copious examples and exercises that will foster depth of understanding.' L'Enseignement Mathématique
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Product Details

  • ISBN-13: 9780521559133
  • Publisher: Cambridge University Press
  • Publication date: 7/28/1996
  • Edition description: New Edition
  • Edition number: 1
  • Pages: 410
  • Product dimensions: 5.98 (w) x 8.98 (h) x 0.91 (d)

Table of Contents

1 Mathematical models in economics
2 Mathematical terms and notations
3 Sequences, recurrences, limits
4 The elements of finance
5 The cobweb model
6 Introduction to calculus
7 Some special functions
8 Introduction in 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 Lagrangeans 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
Solutions to selected exercises
Index
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