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Mathematics and Methodology for Economics

Applications, Problems and Solutions

  • Wolfgang Eichhorn
  • Winfried Gleißner

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

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

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-23353-6
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Economics and Finance
  • Print ISBN 978-3-319-23352-9
  • Online ISBN 978-3-319-23353-6
  • Series Print ISSN 2192-4333
  • Series Online ISSN 2192-4341
  • Buy this book on publisher's site