Overview
- 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 book series: Springer Texts in Business and Economics (STBE)
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Table of contents (13 chapters)
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Front Matter
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Back Matter
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
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.
Reviews
“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)
Authors and Affiliations
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
Book Title: Mathematics and Methodology for Economics
Book Subtitle: Applications, Problems and Solutions
Authors: Wolfgang Eichhorn, Winfried Gleißner
Series Title: Springer Texts in Business and Economics
DOI: https://doi.org/10.1007/978-3-319-23353-6
Publisher: Springer Cham
eBook Packages: Economics and Finance, Economics and Finance (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-23352-9Published: 24 February 2016
Softcover ISBN: 978-3-319-79472-3Published: 21 March 2019
eBook ISBN: 978-3-319-23353-6Published: 11 February 2016
Series ISSN: 2192-4333
Series E-ISSN: 2192-4341
Edition Number: 1
Number of Pages: XIX, 630
Number of Illustrations: 143 illustrations in colour
Topics: Economic Theory/Quantitative Economics/Mathematical Methods, History of Economic Thought/Methodology, Game Theory, Economics, Social and Behav. Sciences