Mathematics in Economics and Management Examples and Exercises

Chapters 1, 2 and 3 introduces you to the basic issues related to logic and set theory. It has been discussed, inter alia, issues such as the sentence algebra, quantifiers, set theory, and relations. Chapters 4 and 5 presents the basics of linear algebra. You will learn from it how to apply arrays, vectors, determinants and linear systems in economics. Chapters 6-13 contains the basic concepts of calculus and their economic applications. So here you will find the methods of determining the limits and derivatives, finding the extrema, and solving the differential and difference equations. In chapters 12 and 13 you will find, among others, the information about marginal analysis and foundations of financial mathematics. The last chapter (14) presents the foundations of probability theory, including most important from the point of view of your future work, random variables. Each chapter consists of at least two sections, almost each section consists of four parts. First of them is a short theoretical introduction (it is enough for understanding the examples and solving the exercises, but it is not exhausting the topic). Almost each theoretical part ends with a short description of how to use WolframAlpha® to solve the examples of respective kind. WolframAlpha® is a free web application derived by Wolfram.