Linear Algebra for Economists
by Fuad Aleskerov, Hasan Ersel, Dmitri Piontkovski
| Year of publication: |
2011
|
|---|---|
| Authors: | Aleskerov, Fuad |
| Other Persons: | Ersel, Hasan (contributor) ; Piontkovski, Dmitri (contributor) |
| Publisher: |
Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg |
| Subject: | Mathematik | Mathematics | Theorie | Theory | Lineare Algebra | Lineare Optimierung |
| Description of contents: | Table of Contents [external.dandelon.com] ; Description [swbplus.bsz-bw.de] ; Description [zbmath.org] |
| Extent: | Online-Ressource (XII, 279p. 65 illus, digital) |
|---|---|
| Series: | |
| Type of publication: | Book / Working Paper |
| Type of publication (narrower categories): | Lehrbuch |
| Language: | English |
| Notes: | Includes bibliographical references and index ""Linear Algebra for Economists ""; ""Preface""; ""Acknowledgements""; ""Contents ""; ""1 Some Basic Concepts""; ""1.1 Introduction""; ""1.1.1 Linearity""; ""1.1.2 System of Coordinates on the Plane R2""; ""1.2 Microeconomics: Market Equilibrium""; ""1.2.1 Equilibrium in a Single Market""; ""1.2.2 Multi-Market Equilibrium""; ""1.3 Macroeconomic Policy Problem""; ""1.3.1 A Simple Macroeconomic Policy Modelwith One Target""; ""1.3.2 A Macroeconomic Policy Modelwith Multiple Targets and Multiple Instruments""; ""1.4 Problems""; ""2 Vectors and Matrices""; ""2.1 Vectors"" ""2.1.1 Algebraic Properties of Vectors""""2.1.2 Geometric Interpretation of Vectorsand Operations on Them""; ""2.1.3 Geometric Interpretation in R2""; ""2.2 Dot Product of Two Vectors""; ""2.2.1 The Length of a Vector, and the AngleBetween Two Vectors""; ""2.3 An Economic Example: Two Plants""; ""2.4 Another Economic Application: Index Numbers""; ""2.5 Matrices""; ""2.5.1 Operations on Matrices""; ""2.5.2 Matrix Multiplication""; ""2.5.3 Trace of a Matrix""; ""2.6 Transpose of a Matrix""; ""2.7 Rank of a Matrix""; ""2.8 Elementary Operations and Elementary Matrices""; ""2.9 Problems"" ""3 Square Matrices and Determinants""""3.1 Transformation of Coordinates""; ""3.1.1 Translation""; ""3.1.2 Rotation""; ""3.2 Square Matrices""; ""3.2.1 Identity Matrix""; ""3.2.2 Power of a Matrix and Polynomial of a Matrix""; ""3.3 Systems of Linear Equations: The Case of Two Variables""; ""3.4 Determinant of a Matrix""; ""3.4.1 The Basic Properties of Determinants""; ""3.4.2 Determinant and Elementary Operations""; ""3.5 Problems""; ""4 Inverse Matrix""; ""4.1 Inverse Matrix and Matrix Division""; ""4.2 Rank and Determinants""; ""4.3 Problems""; ""5 Systems of Linear Equations"" ""5.1 The Case of Unique Solution: Cramer's Rule""""5.2 Gauss Method: Sequential Elimination of Unknown Variables""; ""5.3 Homogeneous Equations""; ""5.4 Problems""; ""5.4.1 Mathematical Problems""; ""5.4.2 Economic Problems""; ""6 Linear Spaces""; ""6.1 Linear Independence of Vectors""; ""6.1.1 Addition of Vectors and Multiplicationof a Vector by a Real Number""; ""6.2 Isomorphism of Linear Spaces""; ""6.3 Subspaces""; ""6.3.1 Examples of Subspaces""; ""6.3.2 A Method of Constructing Subspaces""; ""6.3.3 One-Dimensional Subspaces""; ""6.3.4 Hyperplane""; ""6.4 Coordinate Change"" ""6.5 Economic Example: Production Technology Set""""6.6 Problems""; ""7 Euclidean Spaces""; ""7.1 General Definitions""; ""7.2 Orthogonal Bases""; ""7.3 Least Squares Method""; ""7.4 Isomorphism of Euclidean Spaces""; ""7.5 Problems""; ""8 Linear Transformations""; ""8.1 Addition and Multiplication of Linear Operators""; ""8.2 Inverse Transformation, Image and Kernelunder a Transformation""; ""8.3 Linear Transformation Matrices with Respectto Different Bases""; ""8.4 Problems""; ""9 Eigenvectors and Eigenvalues""; ""9.1 Macroeconomic Example: Growth and Consumption""; ""9.1.1 The Model"" ""9.1.2 Numerical Example"" |
| ISBN: | 978-3-642-20570-5 ; 978-3-642-20569-9 |
| Other identifiers: | 10.1007/978-3-642-20570-5 [DOI] |
| Source: | ECONIS - Online Catalogue of the ZBW |
Persistent link: https://www.econbiz.de/10014015450