© 2016

Mathematics and Methodology for Economics

Applications, Problems and Solutions

  • Provides the core knowledge required for a mathematical approach to economics

  • Includes more than 2,000 examples and exercises with applications and answers

  • Helps in understanding the role of mathematics in methodology for economics


Part of the Springer Texts in Business and Economics book series (STBE)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Wolfgang Eichhorn, Winfried Gleißner
    Pages 1-44
  3. Wolfgang Eichhorn, Winfried Gleißner
    Pages 61-104
  4. Wolfgang Eichhorn, Winfried Gleißner
    Pages 177-207
  5. Wolfgang Eichhorn, Winfried Gleißner
    Pages 209-300
  6. Wolfgang Eichhorn, Winfried Gleißner
    Pages 301-371
  7. Wolfgang Eichhorn, Winfried Gleißner
    Pages 373-475
  8. Wolfgang Eichhorn, Winfried Gleißner
    Pages 477-507
  9. Wolfgang Eichhorn, Winfried Gleißner
    Pages 509-534
  10. Wolfgang Eichhorn, Winfried Gleißner
    Pages 535-563
  11. Wolfgang Eichhorn, Winfried Gleißner
    Pages 565-596
  12. Wolfgang Eichhorn, Winfried Gleißner
    Pages 597-625
  13. Back Matter
    Pages 627-630

About this book


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.


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

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

About the authors

Wolfgang Eichhorn is professor at the Karlsruhe Institute of Technology (KIT, formerly University of Karlsruhe(TH)), Faculty of Economics. His fields of research are economics, mathematics, operations research, mathematical modelling in economics, particularly in practise and theory of production, growth, distribution of wealth, games, prices, and price indices. He also published papers in statistics, especially on measurement in economics, and in insurance, mainly on macroeconomic aspects of risk management. He was research counsel for the German Research Foundation, the German Federal Cartel Office, the Munich Reinsurance Company, and for several national and international Scientific Publishing Companies. His research inspired his teaching: more than forty years mostly at Karlsruhe, but also, among others, at the Universities of Berkeley (UC), Bonn, Fribourg, Lisboa (TU), Los Angeles (USC), Rio de Janeiro (UF), Vancouver (UBC), Vienna (WU), Waterloo (UofW), Würzburg.

Winfried Gleißner is a member of the Faculty of Business Administration at the University of Applied Sciences in Landshut, where he is responsible for mathematics and information technology. He is specialized on computer and network security. His fields of research are mathematical modelling in economics, particularly in the theory of growth, measurement in economics, taxes, distribution of wealth, price indices. He developped a model

for the spread of computer viruses, which was recognized in the medical world. This influenced his teaching experience: some twenty years, mostly in Landshut, but also at the Technical Universites of Karlsruhe and Munich, the University of Applied Sciences in Rosenheim. Further he is a forensic expert in computer and network security, among others in credit cards. 

Bibliographic information

Industry Sectors
Finance, Business & Banking


“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)