Titlebook: Mathematics and Methodology for Economics; Applications, Proble Wolfgang Eichhorn,Winfried Gleißner Textbook 2016 Springer International Pu

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Textbook 2016nts as well as for students of applied sciences. This self-contained book does not assume any previous knowledge of high school mathematics and helps understanding the basics of economic theory-building. Starting from set theory it thoroughly discusses linear and non-linear functions, differential e

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Sets, Numbers and Vectors,epresentations of relations in economics and to mathematical notions. In the present chapter we not only summarise basic knowledge about natural numbers, integers, rational and real numbers but define also complex numbers as a particular case of vectors. They will make, among others, the derivation

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Production Systems Production Processes, Technologies, Efficiency, Optimisation,formulation of problems, indicating also elementary and intuitive methods for solving them. We will get acquainted with concepts like production system, production process, technology, efficiency and optimisation. The knowledge gained from Chap. . suffices already for formulating basic problems of e

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Mappings, Functions, fundamental concept of mapping. This is the situation, where certain objects are mapped to others, that is, the latter are assigned to the former, following specific instructions. Rather than an abstract definition, we give numerous examples.

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Functions, Their Limits and Their Derivatives,ctions and derivatives. We introduce some rules which make derivations easier: linearity, product rule, and chain rule. We discuss the laws of the mean, Taylor series, and Bernoulli-L’Hospital rules. We lay the foundation for the analysis of functions in one variable using the notions of monotinicty

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Nonlinear Functions of Interest to Economics. Systems of Nonlinear Equations,ntial function is then used to explain compound interests. Another type of nonlinear functions are the generalized homogeneous functions and their application in production theory. The chapter ends with the investigation of nonlinear systems of equations and Banach’s fixed point theorem.