## About this book

### Introduction

This book about mathematics and methodology for economics is the result of the lifelong experience of the authors. It is written for university students 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 equations, difference equations, and all necessary theoretical constructs for building sound economic models. The authors also present a solid introduction to linear optimisation and game theory using production systems. A detailed discussion on market equilibrium, in particular on Nash Equilibrium, and on non-linear optimisation is also provided. Throughout the book the student is well supplied with numerous examples, some 2000 problems and their solutions to apply the knowledge to economic theories and models.

### Keywords

Affine functions Assumptions Difference equations Differential equations Economic models Exponential functions Linear dependence Linear functions Linear optimization Mathematics for Economics Logarithm functions Mappings Mathematical economics Mathematik für Wirtschaftswissenschaftler Model corrections Newton's algorithm Non-linear optimization Orthogonal vectors Price-elasticity Production theory Set theory

#### Authors and affiliations

- Wolfgang Eichhorn
- Winfried Gleißner

- 1.Karlsruhe Institute of Technology (KIT)KarlsruheGermany
- 2.University of Applied Sciences LandshutOberndorfGermany

### Bibliographic information