Mathematics and Methodology for Economics

"Eichhorn and Gleissner provide all the mathematical fundamentals needed for understanding economic theories. Their approach in presenting mathematical fundamentals as the foundation of economic research and to use examples from economics (instead of physics, prevalent almost everywhere else) is outstanding. The numerous exercises with solutions at the end of each section are very helpful and complete my excellent overall impression of the didactics of the book by Eichhorn and Gleissner. In my opinion, the book is very well-suited for beginners, advanced students and researchers alike. When reading this book, I could truly feel the lifelong teaching experience of its two authors. A highly recommendable book." (Prof. Jochen Staudacher, University of Applied Sciences Kempten, Germany)

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.

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.