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Linear Algebra for Economists

  • Textbook
  • © 2011

Overview

Authors:
  1. Fuad Aleskerov

    1. Higher School of Economics, Mathematics for Economics, National Research University, Moscow, Russian Federation

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  2. Hasan Ersel

    1. , Faculty of Arts and Social Sciences, Sabanci University, Orhanli-Tuzla, Turkey

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    You can also search for this author in PubMed   Google Scholar

  3. Dmitri Piontkovski

    1. Higher School of Economics, Mathematics for Economics, National Research University, Moscow, Russian Federation

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    You can also search for this author in PubMed   Google Scholar

  • Textbook on linear algebra for undergraduate level in economics
  • Teaches mathematical thinking and how to prove statements
  • Based on mathematical explanations in combination with economic applications
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xii
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  2. Some Basic Concepts

    • Fuad Aleskerov, Hasan Ersel, Dmitri Piontkovski
    Pages 1-15

  3. Vectors and Matrices

    • Fuad Aleskerov, Hasan Ersel, Dmitri Piontkovski
    Pages 17-47

  4. Square Matrices and Determinants

    • Fuad Aleskerov, Hasan Ersel, Dmitri Piontkovski
    Pages 49-63

  5. Inverse Matrix

    • Fuad Aleskerov, Hasan Ersel, Dmitri Piontkovski
    Pages 65-73

  6. Systems of Linear Equations

    • Fuad Aleskerov, Hasan Ersel, Dmitri Piontkovski
    Pages 75-90

  7. Linear Spaces

    • Fuad Aleskerov, Hasan Ersel, Dmitri Piontkovski
    Pages 91-106

  8. Euclidean Spaces

    • Fuad Aleskerov, Hasan Ersel, Dmitri Piontkovski
    Pages 107-122

  9. Linear Transformations

    • Fuad Aleskerov, Hasan Ersel, Dmitri Piontkovski
    Pages 123-140

  10. Eigenvectors and Eigenvalues

    • Fuad Aleskerov, Hasan Ersel, Dmitri Piontkovski
    Pages 141-163

  11. Linear Model of Production in a Classical Setting

    • Fuad Aleskerov, Hasan Ersel, Dmitri Piontkovski
    Pages 165-193

  12. Linear Programming

    • Fuad Aleskerov, Hasan Ersel, Dmitri Piontkovski
    Pages 195-216

  13. Back Matter

    Pages 217-279
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Keywords

About this book

This textbook introduces students of economics to the fundamental notions and instruments in linear algebra. Linearity is used as a first approximation to many problems that are studied in different branches of science, including economics and other social sciences. Linear algebra is also the most suitable to teach students what proofs are and how to prove a statement. The proofs that are given in the text are relatively easy to understand and also endow the student with different ways of thinking in making proofs. Theorems for which no proofs are given in the book are illustrated via figures and examples. All notions are illustrated appealing to geometric intuition. The book provides a variety of economic examples using linear algebraic tools. It mainly addresses students in economics who need to build up skills in understanding mathematical reasoning. Students in mathematics and informatics may also be interested in learning about the use of mathematics in economics.

Authors and Affiliations

  • Higher School of Economics, Mathematics for Economics, National Research University, Moscow, Russian Federation

    Fuad Aleskerov, Dmitri Piontkovski

  • , Faculty of Arts and Social Sciences, Sabanci University, Orhanli-Tuzla, Turkey

    Hasan Ersel

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