| |
| |
| Preface | |
| |
| |
| Introduction: Getting Started | |
| |
| |
| Notes for students: how to use this book | |
| |
| |
| Getting started with MyMathLab Getting started with Excel | |
| |
| |
| Getting started with Maple | |
| |
| |
| |
| Linear Equations | |
| |
| |
| |
| Introduction to algebra | |
| |
| |
| |
| Further algebra | |
| |
| |
| |
| Graphs of linear equations | |
| |
| |
| |
| Algebraic solution of simultaneous linear equations | |
| |
| |
| |
| Supply and demand analysis | |
| |
| |
| |
| Transposition of formulae | |
| |
| |
| |
| National income determination | |
| |
| |
| |
| Non-linear Equations | |
| |
| |
| |
| Quadratic functions | |
| |
| |
| |
| Revenue, cost and profit | |
| |
| |
| |
| Indices and logarithms | |
| |
| |
| |
| The exponential and natural logarithm functions | |
| |
| |
| |
| Mathematics of Finance | |
| |
| |
| |
| Percentages | |
| |
| |
| |
| Compound interest | |
| |
| |
| |
| Geometric series | |
| |
| |
| |
| Investment appraisal | |
| |
| |
| |
| Differentiation | |
| |
| |
| |
| The derivative of a function | |
| |
| |
| |
| Rules of differentiation | |
| |
| |
| |
| Marginal functions | |
| |
| |
| |
| Further rules of differentiation | |
| |
| |
| |
| Elasticity | |
| |
| |
| |
| Optimization of economic functions | |
| |
| |
| |
| Further optimization of economic functions | |
| |
| |
| |
| The derivative of the exponential and natural logarithm functions | |
| |
| |
| |
| Partial Differentiation | |
| |
| |
| |
| Functions of several variables | |
| |
| |
| |
| Partial elasticity and marginal functions | |
| |
| |
| |
| Comparative statics | |
| |
| |
| |
| Unconstrained optimization | |
| |
| |
| |
| Constrained optimization | |
| |
| |
| |
| Lagrange multipliers | |
| |
| |
| |
| Integration | |
| |
| |
| |
| Indefinite integration | |
| |
| |
| |
| Definite integration | |
| |
| |
| |
| Matrices | |
| |
| |
| |
| Basic matrix operations | |
| |
| |
| |
| Matrix inversion | |
| |
| |
| |
| Cramer's rule | |
| |
| |
| |
| Input-output analysis | |
| |
| |
| Glossary | |
| |
| |
| Index | |
| |
| |
| The Following Additional Material can be Found on the Website (www.pearsoned.co.uk/jacques): | |
| |
| |
| Additional Topic 1 | |
| |
| |
| Linear Programming | |
| |
| |
| |
| Graphical solution of linear programming problems | |
| |
| |
| |
| Applications of linear programming | |
| |
| |
| Additional Topic 2 Dynamics | |
| |
| |
| |
| Difference equations | |
| |
| |
| |
| Differential equations | |
| |
| |
| |
| Differentiation from First Principles | |
| |
| |
| |
| Implicit Differentiation | |
| |
| |
| |
| Hessians | |
| |
| |
| Solutions to Problems | |
| |
| |
| Web Box | |
| |
| |
| Preface | |
| |
| |
| Introduction: Getting Started | |
| |
| |
| Notes for students: how to use this book | |
| |
| |
| Getting started with MyMathLab | |
| |
| |
| Getting started with Excel | |
| |
| |
| Getting started with Maple | |
| |
| |
| |
| Linear Equations | |
| |
| |
| |
| Introduction to algebra | |
| |
| |
| |
| Further algebra | |
| |
| |
| |
| Graphs of linear equations | |
| |
| |
| |
| Algebraic solution of simultaneous linear equations | |
| |
| |
| |
| Supply and demand analysis | |
| |
| |
| |
| Transposition of formulae | |
| |
| |
| |
| National income determination | |
| |
| |
| |
| Non-linear Equations | |
| |
| |
| |
| Quadratic functions | |
| |
| |
| |
| Revenue, cost and profit | |
| |
| |
| |
| Indices and logarithms | |
| |
| |
| |
| The exponential and natural logarithm functions | |
| |
| |
| |
| Mathematics of Finance | |
| |
| |
| |
| Percentages | |
| |
| |
| |
| Compound interest | |
| |
| |
| |
| Geometric series | |
| |
| |
| |
| Investment appraisal | |
| |
| |
| |
| Differentiation | |
| |
| |
| |
| The derivative of a function | |
| |
| |
| |
| Rules of differentiation | |
| |
| |
| |
| Marginal functions | |
| |
| |
| |
| Further rules of differentiation | |
| |
| |
| |
| Elasticity | |
| |
| |
| |
| Optimization of economic functions | |
| |
| |
| |
| Further optimization of economic functions | |
| |
| |
| |
| The derivative of the exponential and natural logarithm functions | |
| |
| |
| |
| Partial Differentiation | |
| |
| |
| |
| Functions of several variables | |
| |
| |
| |
| Partial elasticity and marginal functions | |
| |
| |
| |
| Comparative statics | |
| |
| |
| |
| Unconstrained optimization | |
| |
| |
| |
| Constrained optimization | |
| |
| |
| |
| Lagrange multipliers | |
| |
| |
| |
| Integration | |
| |
| |
| |
| Indefinite integration | |
| |
| |
| |
| Definite integration | |
| |
| |
| |
| Matrices | |
| |
| |
| |
| Basic matrix operations | |
| |
| |
| |
| Matrix inversion | |
| |
| |
| |
| Cramer's rule | |
| |
| |
| |
| Input-output analysis | |
| |
| |
| Glossary | |
| |
| |
| Index | |
| |
| |
| The Following Additional Material can be Found on the Website (www.pearsoned.co.uk/jacques): | |
| |
| |
| Additional Topic 1 Linear Programming | |
| |
| |
| |
| Graphical solution of linear programming problems | |
| |
| |
| |
| Applications of linear programming | |
| |
| |
| Additional Topic 2 Dynamics | |
| |
| |
| |
| Difference equations | |
| |
| |
| |
| Differential equations | |
| |
| |
| |
| Differentiation from First Principles | |
| |
| |
| |
| Implicit Differentiation | |
| |
| |
| |
| Hessians | |
| |
| |
| Solutions to Problems | |
| |
| |
| Web Box | |