Mathematics for Economics and Finance: Methods And Modelling (英語) ペーパーバック – 1996/7/25
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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.
'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
Without a solid (and recent) background in higher algebra and calculus and a good understanding of basic economics concepts, students will find this book to be challenging. Advanced economics students, on the other hand, will find it to be a handy reference.
One can't help but think that this volume was born out of necessity: a textbook written by an educator because no other suitable text yet exists. Think of Paul Samuelson's first edition of 'Economics' in 1948. (In fact, Anthony's and Bigg's book bears a striking resemblance in style to Samuelson's original. An ode, perhaps?) Let's hope that this book, like Samuelson's original, evolves into a more comprehensive volume.