Economic Mathematics (Second Edition)

Author: Huoyi et al. (Auth.), Zhang Wei et al. (Trans.)
Publisher:
Publish Date: 2006-12-01
Features: This book breaks the conventional separate teaching of economics and mathematics 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 comprehensively and systematically introduces the relevant mathematical foundations, covering almost all the mathematical content required for undergraduate and graduate students in Chinese higher education. The book is divided into five parts, totaling 25 chapters. Part I explores basic mathematical concepts and properties. Part II primarily studies single-variable calculus and optimization, starting from the continuity of univariate functions and examining their derivatives, differentials, and optimization separately. Part III introduces knowledge related to linear algebra, including systems of linear equations, matrices, determinants, inverse matrices, and cutting-edge issues in linear algebra. Part IV discusses multivariate computational problems, exploring the calculation of n-variable functions, optimization of n-variable functions, constrained optimization, comparative static analysis, concave programming, and the Kuhn–Tucker conditions, among other topics. The final part studies integration and dynamic methods.