Essential mathematics for economic analysis / Knut Sydsæter, Peter Hammond, Arne Strøm and Andrés Carvajal.

Includes bibliographical references and index.

Preliminaries. Essentials of logic and set theory -- Algebra -- Solving equations -- Functions of one variable -- Properties of functions -- Single variable calculus. Differentiation -- Derivatives in use -- Concave and convex functions -- Optimization -- Integration -- Topics in finance and dynamics -- Multivariable algebra. Matrix algebra -- Determinants, inverses, and quadratic forms -- Multivariable calculus. Functions of many variables -- Partial derivatives in use -- Multiple integrals -- Multivariable optimization. Unconstrained optimization -- Equality constraints -- Linear programming -- Nonlinear programming.

"The subject matter that modern economics students are expected to master makes significant mathematical demands. This is true even of the less technical "applied" literature that students will be expected to read for courses in fields such as public finance, industrial organization, and labour economics, amongst several others. Indeed, the most relevant literature typically presumes familiarity with several important mathematical tools, especially calculus for functions of one and several variables, as well as a basic understanding of multivariable optimization problems with or without constraints. Linear algebra is also used to some extent in economic theory, and a great deal more in econometrics"-- Provided by publisher.