Mathematics for Economics

Mik Wisniewski is a Senior Research Fellow at the University of Strathclyde Business School, UK where he has specific research interests in performance measurement and performance management, particularly for public sector organisations. His research expertise relates to benchmarking, process mapping and the use of the balanced scorecard as well as business analysis and modelling. He has extensive teaching and consultancy experience across the UK, Europe, Africa and the Middle East in the areas of economic analysis, modelling and forecasting. He has worked with companies such as British Energy, British Gas, Shell, Scottish Power and with a variety of public sector organisations.

"In my several years of teaching mathematical methods in undergraduate economics I have found that what the students find particularly hard and difficult to grasp is not the mathematics itself but how to make mathematics "sing" economics. This book does a great job by teaching how mathematics used in economic models both reveals and is enlivened by economic intuition." - Sujoy Mukerji, Oxford University, UK "Maths is necessary to learn and understand modern economic theory: Wisniewski's book is ideal for economics and business students that do not want to get lost in mathematical technicalities but aim at fully understanding the economic mechanisms behind it. The book covers a wide range of topics, the incremental structure allows students to start from the very basics to gradually reach the appropriate level, and all the instruments are presented simply and intuitively with an eye always on the economic applications." Carlo Reggiani, The University of Manchester, UK

• IntroductionPART I: THE BUILDING BLOCKS OF ECONOMIC ANALYSISTools of the Trade: the Basics of AlgebraLinear Relationships in Economic AnalysisNon-linear Relationships in Economic AnalysisPART II: LINEAR MODELS IN ECONOMIC ANALYSISThe Principles of Linear ModelsMarket Supply and Demand ModelsNational Income ModelsMatrix Algebra the BasicsMatrix Algebra the Matrix InverseEconomic Analysis with Matrix AlgebraEconomic Analysis with Matrix Algebra: Input-output AnalysisPART III: OPTIMIZATION IN ECONOMIC ANALYSISQuadratic Functions in Economic AnalysisThe Derivative and the Rules of DifferentiationDerivatives and Economic AnalysisThe Principles of OptimizationOptimization in Economic AnalysisOptimization in Production TheoryPART IV: OPTIMIZATION WITH MULTIPLE VARIABLESFunctions of More Than Two VariablesAnalysis of Multi-variable Economic ModelsUnconstrained OptimizationConstrained OptimizationPART V: FURTHER TOPICS IN ECONOMIC ANALYSISIntegration and Economic AnalysisFinancial Analysis in Economics I: Interest and Present ValueFinancial Analysis in Economics II: Annuities, Sinking Funds and Growth ModelsAn Introduction to DynamicsProbability and Economic AnalysisAppendicesThe Greek AlphabetSolutions to the Learning Check ActivitiesSolutions to the Progress Check ActivitiesOutline Solutions to the End-of-module Exercises.