Mathematics for Economics and Finance Methods and Modelling

ISBN-10: 0521559138
ISBN-13: 9780521559133
Edition: 1996
List price: $74.99 Buy it from $19.62
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Description: 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  More...

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Book details

List price: $74.99
Copyright year: 1996
Publisher: Cambridge University Press
Publication date: 7/13/1996
Binding: Paperback
Pages: 407
Size: 6.25" wide x 9.00" long x 1.00" tall
Weight: 0.902
Language: English

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.

Martin Anthony is Professor of Mathematics at the London School of Economics (LSE) and Academic Co-ordinator for Mathematics on the University of London International Programmes for which LSE has academic oversight. He has over 20 years' experience of teaching students at all levels of university and is the author of four books, including the textbook Mathematics for Economics and Finance: Methods and Modelling (Cambridge University Press, 1996). He also has extensive experience of preparing distance learning materials.

Mathematical models in economics
Mathematical terms and notations
Sequences, recurrences and limits
Elements of finance
The cobweb model
Introduction to calculus
Some special functions
Introduction to optimisation
The derivative in economics I
The derivative in economics II
Partial derivatives
Applications of partial derivatives
Optimisation in two variables
Vectors, preferences and convexity
Matrix algebra
Linear equations I
Linear equations II
Inverse matrices
The input output model
Determinants
Constrained optimisation
Lagrangians and the consumer
Second-order recurrence equations
Macroeconomic applications
Areas and integrals
Techniques of integration
First-order differential equations
Second-order differential equations
Selected solutions

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