Do you need to brush up on your mathematical skills to truly excel in your economics or business course? If you want to increase your confidence in mathematics, then this is the perfect book for you. With its friendly and informal style, this market leading text breaks down topics into short sections making each new technique you learn seem less daunting. Offering you the chance at every opportunity to stop and check your understanding by working through the practice problems, you can relax and learn at your own pace. A brand new online learning resource for this edition available to users of this book. www.mymathlab.com An unrivalled online study and testing resource that generates a personalized study plan and provides extensive practice questions exactly where you need it. * Interactive questions with randomized values allow you practice the same concept as many times as you need until you master it. * Guided solutions break down the question for you step by step. * Audio animations talk you through key mathematical techniques * Full e book links out to the relevant part of the text while you are practicing.
* Additional e chapters of extended topics taken out of the book See the Getting Started with MyMathlab section in the introduction for information on how to register and start using the resources.
Contents Preface ix Introduction: Getting Started 1 Notes for students: how to use this book 1 Getting started with MyMathLab Getting started with Excel 3 Getting started with Maple 9 1 Linear Equations 13 1.1 Introduction to algebra 1.2 Further algebra 1.3 Graphs of linear equations 15 1.4 Algebraic solution of simultaneous linear equations 35 1.5 Supply and demand analysis 47 1.6 Transposition of formulae 87 1.7 National income determination 96 2 Non-linear Equations 113 2.1 Quadratic functions 115 2.2 Revenue, cost and profit 129 2.3 Indices and logarithms 141 2.4 The exponential and natural logarithm functions 162 3 Mathematics of Finance 175 3.1 Percentages 177 3.2 Compound interest 194 3.3 Geometric series 209 3.4 Investment appraisal 220 4 Differentiation 237 4.1 The derivative of a function 239 4.2 Rules of differentiation 251 4.3 Marginal functions 261 4.4 Further rules of differentiation 275 4.5 Elasticity 284 4.6 Optimization of economic functions 298 4.7 Further optimization of economic functions 320 4.8 The derivative of the exponential and natural logarithm functions 331 5 Partial Differentiation 341 5.1 Functions of several variables 343 5.2 Partial elasticity and marginal functions 356 5.3 Comparative statics 374 5.4 Unconstrained optimization 386 5.5 Constrained optimization 400 5.6 Lagrange multipliers 411 6 Integration 421 6.1 Indefinite integration 423 6.2 Definite integration 437 7 Matrices 451 7.1 Basic matrix operations 453 7.2 Matrix inversion 472 7.3 Cramers rule 492 7.4 Input output analysis 502 Glossary 663 Index 673 THE FOLLOWING ADDITIONAL MATERIAL CAN BE FOUND ON THE WEBSITE (www.pearsoned.co.uk/jacques): Additional Topic 1 Linear Programming 515 T.1.1 Graphical solution of linear programming problems 517 T.2.1 Applications of linear programming 535 Additional Topic 2 Dynamics 551 T.2.1 Difference equations 553 T.2.2 Differential equations 569 Appendix 1 Differentiation from First Principles 587 Appendix 2 Implicit Differentiation 591 Appendix 3 Hessians 594 Solutions to Problems 598 WEB BOX Contents Preface ix Introduction: Getting Started 1 Notes for students: how to use this book 1 Getting started with MyMathLab Getting started with Excel 3 Getting started with Maple 9 1 Linear Equations 13 1.1 Introduction to algebra 1.2 Further algebra 1.3 Graphs of linear equations 15 1.4 Algebraic solution of simultaneous linear equations 35 1.5 Supply and demand analysis 47 1.6 Transposition of formulae 87 1.7 National income determination 96 2 Non-linear Equations 113 2.1 Quadratic functions 115 2.2 Revenue, cost and profit 129 2.3 Indices and logarithms 141 2.4 The exponential and natural logarithm functions 162 3 Mathematics of Finance 175 3.1 Percentages 177 3.2 Compound interest 194 3.3 Geometric series 209 3.4 Investment appraisal 220 4 Differentiation 237 4.1 The derivative of a function 239 4.2 Rules of differentiation 251 4.3 Marginal functions 261 4.4 Further rules of differentiation 275 4.5 Elasticity 284 4.6 Optimization of economic functions 298 4.7 Further optimization of economic functions 320 4.8 The derivative of the exponential and natural logarithm functions 331 5 Partial Differentiation 341 5.1 Functions of several variables 343 5.2 Partial elasticity and marginal functions 356 5.3 Comparative statics 374 5.4 Unconstrained optimization 386 5.5 Constrained optimization 400 5.6 Lagrange multipliers 411 6 Integration 421 6.1 Indefinite integration 423 6.2 Definite integration 437 7 Matrices 451 7.1 Basic matrix operations 453 7.2 Matrix inversion 472 7.3 Cramers rule 492 7.4 Input output analysis 502 Glossary 663 Index 673 THE FOLLOWING ADDITIONAL MATERIAL CAN BE FOUND ON THE WEBSITE (www.pearsoned.co.uk/jacques): Additional Topic 1 Linear Programming 515 T.1.1 Graphical solution of linear programming problems 517 T.2.1 Applications of linear programming 535 Additional Topic 2 Dynamics 551 T.2.1 Difference equations 553 T.2.2 Differential equations 569 Appendix 1 Differentiation from First Principles 587 Appendix 2 Implicit Differentiation 591 Appendix 3 Hessians 594 Solutions to Problems 598 WEB BOX