This book shows how mathematics is used in developing economic theory and in applied economic analysis. The text gradually develops the mathematical skills needed by students and allows them to progress at their own pace. A wide variety of examples shows how, and why, the application of mathematics has become essential to economists.
This book shows how mathematics is used in developing economic theory and in applied economic analysis. The text gradually develops the mathematical skills needed by students and allows them to progress at their own pace. A wide variety of examples shows how, and why, the application of mathematics has become essential to economists.
Mik Wisniewski is a Senior Research Fellow at the University of Strathclyde, UK.
Inhaltsangabe
Introduction.- PART I: THE BUILDING BLOCKS OF ECONOMIC ANALYSIS.- Tools of the Trade: the Basics of Algebra.- Linear Relationships in Economic Analysis.- Non-linear Relationships in Economic Analysis.- PART II: LINEAR MODELS IN ECONOMIC ANALYSIS.- The Principles of Linear Models.- Market Supply and Demand Models.- National Income Models.- Matrix Algebra the Basics.- Matrix Algebra the Matrix Inverse.- Economic Analysis with Matrix Algebra.- Economic Analysis with Matrix Algebra: Input-output Analysis.- PART III: OPTIMIZATION IN ECONOMIC ANALYSIS.- Quadratic Functions in Economic Analysis.- The Derivative and the Rules of Differentiation.- Derivatives and Economic Analysis.- The Principles of Optimization.- Optimization in Economic Analysis.- Optimization in Production Theory.- PART IV: OPTIMIZATION WITH MULTIPLE VARIABLES.- Functions of More Than Two Variables.- Analysis of Multi-variable Economic Models.- Unconstrained Optimization.- Constrained Optimization.- PART V: FURTHER TOPICS IN ECONOMIC ANALYSIS.- Integration and Economic Analysis.- Financial Analysis in Economics I: Interest and Present Value.- Financial Analysis in Economics II: Annuities, Sinking Funds and Growth Models.- An Introduction to Dynamics.- Probability and Economic Analysis.- Appendices.- The Greek Alphabet.- Solutions to the Learning Check Activities.- Solutions to the Progress Check Activities.- Outline Solutions to the End-of-module Exercises.
Introduction.- PART I: THE BUILDING BLOCKS OF ECONOMIC ANALYSIS.- Tools of the Trade: the Basics of Algebra.- Linear Relationships in Economic Analysis.- Non-linear Relationships in Economic Analysis.- PART II: LINEAR MODELS IN ECONOMIC ANALYSIS.- The Principles of Linear Models.- Market Supply and Demand Models.- National Income Models.- Matrix Algebra the Basics.- Matrix Algebra the Matrix Inverse.- Economic Analysis with Matrix Algebra.- Economic Analysis with Matrix Algebra: Input-output Analysis.- PART III: OPTIMIZATION IN ECONOMIC ANALYSIS.- Quadratic Functions in Economic Analysis.- The Derivative and the Rules of Differentiation.- Derivatives and Economic Analysis.- The Principles of Optimization.- Optimization in Economic Analysis.- Optimization in Production Theory.- PART IV: OPTIMIZATION WITH MULTIPLE VARIABLES.- Functions of More Than Two Variables.- Analysis of Multi-variable Economic Models.- Unconstrained Optimization.- Constrained Optimization.- PART V: FURTHER TOPICS IN ECONOMIC ANALYSIS.- Integration and Economic Analysis.- Financial Analysis in Economics I: Interest and Present Value.- Financial Analysis in Economics II: Annuities, Sinking Funds and Growth Models.- An Introduction to Dynamics.- Probability and Economic Analysis.- Appendices.- The Greek Alphabet.- Solutions to the Learning Check Activities.- Solutions to the Progress Check Activities.- Outline Solutions to the End-of-module Exercises.
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