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.