Economic Mathematics - Economic Science Translation Library (Second Edition)

Author: Huoy
Publisher:
Publish Date: 2006-12-01
Features: This book breaks the conventional teaching of economics and mathematics separately without compromising the rigor and precision of mathematics itself. It organically integrates economics and mathematics, not only clearly explaining relevant mathematical topics but also perfectly connecting these topics with economic issues. Its focus is on teaching students how to use mathematical knowledge to solve related economic problems. The book provides a comprehensive and systematic introduction to the relevant mathematical foundations, covering almost all the mathematical content required for Chinese university education from freshman to second-year graduate level. The book is divided into five parts, totaling 25 chapters. The first part studies basic mathematical concepts and properties. The second part primarily focuses on single-variable calculus and optimization, starting from the continuity of univariate functions and separately studying their derivatives, differentials, and optimization. The third part introduces knowledge related to linear algebra, including systems of linear equations, matrices, determinants, inverse matrices, and cutting-edge issues in linear algebra. The fourth part discusses multivariate computational problems, exploring the calculation of n-variable functions, optimization of n-variable functions, constrained optimization, comparative static analysis, concave programming, and Kuhn-Tucker conditions, among other topics. The final part studies integration and dynamic methods.