Economic Mathematics Methods and Models

Author: (Spanish) Fernandez
Publisher:
Publish Date: 2003-08-01
Features: This book not only introduces modern mathematical concepts such as sets, metric spaces, and linear transformations, which are rarely covered in domestic economics textbooks, but also combines calculus to vividly explain commonly used concepts in microeconomic analysis, such as convex sets, upper semi-continuity, lower semi-continuity, and concave functions. Focusing on optimization problems in economic models, the book discusses various nonlinear dynamic optimization methods and their applications, thereby addressing the issue of a lack of knowledge in nonlinear dynamic optimization in domestic economics programs. This book is one of the popular economic mathematics textbooks used in universities in Europe and America. Its main feature is the use of modern mathematical perspectives such as topology and manifolds, integrating them with economic models to introduce students in economics programs to the various main mathematical methods widely used in microeconomic and macroeconomic theoretical research. This book not only introduces modern mathematical concepts such as sets, metric spaces, and linear transformations, which are rarely covered in domestic economics textbooks, but also combines calculus to vividly explain commonly used concepts in microeconomic analysis, such as convex sets, upper semi-continuity, lower semi-continuity, and concave functions. Focusing on optimization problems in economic models, the book discusses various nonlinear dynamic optimization methods and their applications, thereby addressing the issue of a lack of knowledge in nonlinear dynamic optimization in domestic economics programs. This book not only includes a large number of practical examples of economic models but also provides nearly 200 exercises with detailed solutions, helping readers better understand and master the knowledge of economic mathematics. This book basically covers the main content of economic mathematics at the graduate level, making it suitable not only as a textbook for graduate students in economics programs but also as a highly beneficial supplementary book for senior undergraduate students.