Synopsis of `Mathematics for Economics and Finance'

Mathematics has become an indispensable tool in the modelling of economics, finance, business and management. Its language and techniques allow problems to be attacked effectively that would otherwise be difficult to solve. Without expecting any particular background of the reader this book covers the following: graphs and relations, sequences and limits, partial derivatives, optimization, vectors and matrix algebra. Throughout, the stress is firmly on how the mathematics relates to economics, and this is illustrated with examples and exercises that should 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 modelling in economics and finance.