Economists’ Mathematical Manual

  • Peter Berck
  • Knut Sydsæter

Table of contents

  1. Front Matter
    Pages i-x
  2. Peter Berck, Knut Sydsæter
    Pages 1-7
  3. Peter Berck, Knut Sydsæter
    Pages 9-12
  4. Peter Berck, Knut Sydsæter
    Pages 13-16
  5. Peter Berck, Knut Sydsæter
    Pages 17-20
  6. Peter Berck, Knut Sydsæter
    Pages 21-25
  7. Peter Berck, Knut Sydsæter
    Pages 27-29
  8. Peter Berck, Knut Sydsæter
    Pages 31-34
  9. Peter Berck, Knut Sydsæter
    Pages 35-41
  10. Peter Berck, Knut Sydsæter
    Pages 43-46
  11. Peter Berck, Knut Sydsæter
    Pages 47-54
  12. Peter Berck, Knut Sydsæter
    Pages 55-58
  13. Peter Berck, Knut Sydsæter
    Pages 59-63
  14. Peter Berck, Knut Sydsæter
    Pages 65-69
  15. Peter Berck, Knut Sydsæter
    Pages 71-76
  16. Peter Berck, Knut Sydsæter
    Pages 77-83
  17. Peter Berck, Knut Sydsæter
    Pages 85-87
  18. Peter Berck, Knut Sydsæter
    Pages 89-91
  19. Peter Berck, Knut Sydsæter
    Pages 93-96
  20. Peter Berck, Knut Sydsæter
    Pages 97-102

About this book

Introduction

The practice of economics requires a wide ranging knowledge of formulas from math­ ematics and mathematical economics. The selection of results from mathematics included in handbooks for chemistry and physics ill suits economists. There is no concise reporting of results in economics. With this volume, we hope to present a formulary, targeted to the needs of students as weIl as the working economist. It grew out of a collection of mathematical formulas for economists originally made by Professor B. Thalberg and used for many years by Scandinavian students and economists. The formulary has 32 chapters, covering calculus and other often used mathemat­ ics; programming and optimization theory; economic theory of the consumer and the firm; risk, finance, and growth theory; non-cooperative game theory; and elementary statistical theory. The book contains just the formulas and the minimum commcntary needed to re-learn the mathematics involved. We have endeavored to state theorems at the level of generality economists might find useful. By and large, we state results for n-dimensional Euclidean space, even when the results are more generally true. In contrast to thc economic maxim, "everything is twice more continuously differentiable than it needs to be", we have listed the regularity conditions for theorems to be true. We hope that we have achieved a level of explication that is accurate and useful without being pedantic.

Keywords

Elastizitäten Mathematica applied mathematics dynamic optimization economic theory economics game theory growth theory integration linear optimization mathematics non-cooperative game theory nonlinear optimization optimal control optimization

Authors and affiliations

  • Peter Berck
    • 1
  • Knut Sydsæter
    • 2
  1. 1.Department of Agricultural and Resource EconomicsUniversity of California, BerkeleyBerkeleyUSA
  2. 2.Department of EconomicsUniversity of OsloBlindern, OsloNorway

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-02678-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 1991
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-662-02680-9
  • Online ISBN 978-3-662-02678-6
  • About this book