Mathematics for Economics & Finance

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.