Essential mathematics for economic analysis

By: Sydsæter, KnutContributor(s): Hammond, Peter J | Strøm, Arne | Carvajal, AndrésMaterial type: TextTextPublication details: Harlow, Pearson, 2021Edition: Sixth editionDescription: xviii, 952 pages : illustrationsISBN: 9781292359281; 1292359285Subject(s): Economics, MathematicalDDC classification: 330.0151
Contents:
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
Summary: "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"--
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Reference 330.0151 ESS (Browse shelf(Opens below)) Available 016707
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Previous edition published in 2016
First published by Prentice Hall in 1995

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"--

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