Mathematical methods and models for economists / Angel de la Fuente.Material type: TextLanguage: English Publication details: Cambridge, UK ; New York, NY : Cambridge University Press, 2000. Description: xii, 835 p. : ill. ; 26 cmISBN: 0521585120; 0521585295 (pbk.)Subject(s): Economics -- Statistical methods | Mathematical modelsDDC classification: 330.0151 FUM LOC classification: HB137 | .F83 2000Online resources: Publisher description | Table of contents | OCLC | Ebook Fulltext
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Includes bibliographical references and indexes.
Review of basic concepts --
Metric and normed spaces --
Vector spaces and linear mappings --
Differential calculus --
Static models and comparative statics --
Convex sets and concave functions --
Static optimization --
Some applications to microeconomics --
Dynamical systems, I : basic concepts and scalar systems --
Dynamical systems, II : higher dimensions --
Dynamical systems, III : some applications --
An introduction to dynamic optimization --
Some applications of dynamic optimization.
"This book is intended as a textbook for a first-year Ph.D. course in mathematics for economists and as a reference for graduate students in economics. It provides a self-contained, rigorous treatment of most of the concepts and techniques required to follow the standard first-year theory sequence in macroeconomics and macroeconomics. The topics covered include an introduction to analysis in metric spaces, differential calculus, comparative statics, convexity, static optimization, dynamical systems and dynamic optimization. The book includes a large number of applications to standard economic models and more than two hundred problems that are fully worked out."--BOOK JACKET.