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Economists’ Mathematical Manual

  • Book
  • © 1993

Overview

Authors:
  1. Peter Berck

    1. Department of Agricultural and Resource Economics, University of California, Berkeley, Berkeley, USA

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  2. Knut Sydsæter

    1. Department of Economics, University of Oslo, Blindern, Oslo, Norway

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    You can also search for this author in PubMed   Google Scholar

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Table of contents (32 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Functions of one variable. Complex numbers

    • Peter Berck, Knut Sydsæter
    Pages 1-7

  3. Limits. Differentiation (one variable)

    • Peter Berck, Knut Sydsæter
    Pages 9-12

  4. Partial derivatives

    • Peter Berck, Knut Sydsæter
    Pages 13-16

  5. Elasticities. Elasticities of substitution

    • Peter Berck, Knut Sydsæter
    Pages 17-20

  6. Systems of equations

    • Peter Berck, Knut Sydsæter
    Pages 21-25

  7. Inequalities

    • Peter Berck, Knut Sydsæter
    Pages 27-29

  8. Series. Taylor formulas

    • Peter Berck, Knut Sydsæter
    Pages 31-34

  9. Integration

    • Peter Berck, Knut Sydsæter
    Pages 35-41

  10. Difference equations. (Recurrence relations)

    • Peter Berck, Knut Sydsæter
    Pages 43-46

  11. Differential equations

    • Peter Berck, Knut Sydsæter
    Pages 47-54

  12. Topological concepts in Euclidean space

    • Peter Berck, Knut Sydsæter
    Pages 55-58

  13. Convexity

    • Peter Berck, Knut Sydsæter
    Pages 59-63

  14. Classical optimization

    • Peter Berck, Knut Sydsæter
    Pages 65-69

  15. Linear and nonlinear programming

    • Peter Berck, Knut Sydsæter
    Pages 71-76

  16. Calculus of variations and optimal control theory

    • Peter Berck, Knut Sydsæter
    Pages 77-83

  17. Discrete dynamic optimization

    • Peter Berck, Knut Sydsæter
    Pages 85-87

  18. Vectors. Linear dependence. Scalar products

    • Peter Berck, Knut Sydsæter
    Pages 89-91

  19. Determinants

    • Peter Berck, Knut Sydsæter
    Pages 93-96

  20. Matrices

    • Peter Berck, Knut Sydsæter
    Pages 97-102
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Keywords

About this book

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 well 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 commentary 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 the 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.

Authors and Affiliations

  • Department of Agricultural and Resource Economics, University of California, Berkeley, Berkeley, USA

    Peter Berck

  • Department of Economics, University of Oslo, Blindern, Oslo, Norway

    Knut Sydsæter

Bibliographic Information

  • Book Title: Economists’ Mathematical Manual

  • Authors: Peter Berck, Knut Sydsæter

  • DOI: https://doi.org/10.1007/978-3-662-11597-8

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1993

  • eBook ISBN: 978-3-662-11597-8Published: 09 March 2013

  • Edition Number: 2

  • Number of Pages: X, 168

  • Number of Illustrations: 4 b/w illustrations

  • Topics: Economic Theory/Quantitative Economics/Mathematical Methods

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