Mathematics for economics and business

Ian Jacques was formerly a senior lecturer in the School of Mathematical and Information Sciences at Coventry University. He has considerable experience teaching mathematical methods to students studying economics, business and accounting.

Preface	p. ix
Introduction: Getting Started	p. 1
Notes for students: how to use this book	p. 1
Getting started with MyMathLab Getting started with Excel	p. 3
Getting started with Maple	p. 9
1 Linear Equations	p. 13
1.1 Introduction to algebra
1.2 Further algebra
1.3 Graphs of linear equations	p. 15
1.4 Algebraic solution of simultaneous linear equations	p. 35
1.5 Supply and demand analysis	p. 47
1.6 Transposition of formulae	p. 87
1.7 National income determination	p. 96
2 Non-linear Equations	p. 113
2.1 Quadratic functions	p. 115
2.2 Revenue, cost and profit	p. 129
2.3 Indices and logarithms	p. 141
2.4 The exponential and natural logarithm functions	p. 162
3 Mathematics of Finance	p. 175
3.1 Percentages	p. 177
3.2 Compound interest	p. 194
3.3 Geometric series	p. 209
3.4 Investment appraisal	p. 220
4 Differentiation	p. 237
4.1 The derivative of a function	p. 239
4.2 Rules of differentiation	p. 251
4.3 Marginal functions	p. 261
4.4 Further rules of differentiation	p. 275
4.5 Elasticity	p. 284
4.6 Optimization of economic functions	p. 298
4.7 Further optimization of economic functions	p. 320
4.8 The derivative of the exponential and natural logarithm functions	p. 331
5 Partial Differentiation	p. 341
5.1 Functions of several variables	p. 343
5.2 Partial elasticity and marginal functions	p. 356
5.3 Comparative statics	p. 374
5.4 Unconstrained optimization	p. 386
5.5 Constrained optimization	p. 400
5.6 Lagrange multipliers	p. 411
6 Integration	p. 421
6.1 Indefinite integration	p. 423
6.2 Definite integration	p. 437
7 Matrices	p. 451
7.1 Basic matrix operations	p. 453
7.2 Matrix inversion	p. 472
7.3 Cramer's rule	p. 492
7.4 Input-output analysis	p. 502
Glossary	p. 663
Index	p. 673
The Following Additional Material can be Found on the Website (www.pearsoned.co.uk/jacques):
Additional Topic 1
Linear Programming	p. 515
T.1.1 Graphical solution of linear programming problems	p. 517
T.2.1 Applications of linear programming	p. 535
Additional Topic 2 Dynamics	p. 551
T.2.1 Difference equations	p. 553
T.2.2 Differential equations	p. 569
Appendix 1 Differentiation from First Principles	p. 587
Appendix 2 Implicit Differentiation	p. 591
Appendix 3 Hessians	p. 594
Solutions to Problems	p. 598
Web Box
Preface	p. ix
Introduction: Getting Started	p. 1
Notes for students: how to use this book	p. 1
Getting started with MyMathLab
Getting started with Excel	p. 3
Getting started with Maple	p. 9
1 Linear Equations	p. 13
1.1 Introduction to algebra
1.2 Further algebra
1.3 Graphs of linear equations	p. 15
1.4 Algebraic solution of simultaneous linear equations	p. 35
1.5 Supply and demand analysis	p. 47
1.6 Transposition of formulae	p. 87
1.7 National income determination	p. 96
2 Non-linear Equations	p. 113
2.1 Quadratic functions	p. 115
2.2 Revenue, cost and profit	p. 129
2.3 Indices and logarithms	p. 141
2.4 The exponential and natural logarithm functions	p. 162
3 Mathematics of Finance	p. 175
3.1 Percentages	p. 177
3.2 Compound interest	p. 194
3.3 Geometric series	p. 209
3.4 Investment appraisal	p. 220
4 Differentiation	p. 237
4.1 The derivative of a function	p. 239
4.2 Rules of differentiation	p. 251
4.3 Marginal functions	p. 261
4.4 Further rules of differentiation	p. 275
4.5 Elasticity	p. 284
4.6 Optimization of economic functions	p. 298
4.7 Further optimization of economic functions	p. 320
4.8 The derivative of the exponential and natural logarithm functions	p. 331
5 Partial Differentiation	p. 341
5.1 Functions of several variables	p. 343
5.2 Partial elasticity and marginal functions	p. 356
5.3 Comparative statics	p. 374
5.4 Unconstrained optimization	p. 386
5.5 Constrained optimization	p. 400
5.6 Lagrange multipliers	p. 411
6 Integration	p. 421
6.1 Indefinite integration	p. 423
6.2 Definite integration	p. 437
7 Matrices	p. 451
7.1 Basic matrix operations	p. 453
7.2 Matrix inversion	p. 472
7.3 Cramer's rule	p. 492
7.4 Input-output analysis	p. 502
Glossary	p. 663
Index	p. 673
The Following Additional Material can be Found on the Website (www.pearsoned.co.uk/jacques):
Additional Topic 1 Linear Programming	p. 515
T.1.1 Graphical solution of linear programming problems	p. 517
T.2.1 Applications of linear programming	p. 535
Additional Topic 2 Dynamics	p. 551
T.2.1 Difference equations	p. 553
T.2.2 Differential equations	p. 569
Appendix 1 Differentiation from First Principles	p. 587
Appendix 2 Implicit Differentiation	p. 591
Appendix 3 Hessians	p. 594
Solutions to Problems	p. 598
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