## Table of contents for Mathematics for economics and business / Ian Jacques.

Bibliographic record and links to related information available from the Library of Congress catalog.
**Note: ** Electronic data is machine generated. May be incomplete or contain other coding.

Preface page ix
Introduction: Getting Started 1
Notes for students: how to use this book 1
Getting started with Excel 3
Getting started with Maple 9
Notes for tutors: an author's apology 12
1 Linear Equations 13
1.1 Graphs of linear equations 14
1.2 Algebraic solution of simultaneous linear equations 32
1.3 Supply and demand analysis 44
1.4 Algebra 63
1.5 Transposition of formulae 84
1.6 National income determination 93
2 Non-linear Equations 111
2.1 Quadratic functions 112
2.2 Revenue, cost and profit 125
2.3 Indices and logarithms 137
2.4 The exponential and natural logarithm functions 158
3 Mathematics of Finance 171
3.1 Percentages 172
3.2 Compound interest 189
3.3 Geometric series 205
3.4 Investment appraisal 215
4 Differentiation 233
4.1 The derivative of a function 235
4.2 Rules of differentiation 247
4.3 Marginal functions 256
4.4 Further rules of differentiation 270
4.5 Elasticity 280
4.6 Optimization of economic functions 293
4.7 Further optimization of economic functions 315
4.8 The derivative of the exponential and natural logarithm functions 326
5 Partial Differentiation 337
5.1 Functions of several variables 338
5.2 Partial elasticity and marginal functions 350
5.3 Comparative statics 367
5.4 Unconstrained optimization 379
5.5 Constrained optimization 395
5.6 Lagrange multipliers 407
6 Integration 419
6.1 Indefinite integration 420
6.2 Definite integration 435
7 Matrices 451
7.1 Basic matrix operations 452
7.2 Matrix inversion 471
7.3 Cramer's rule 492
7.4 Input-output analysis 502
8 Linear Programming 515
8.1 Graphical solution of linear programming problems 516
8.2 Applications of linear programming 535
9 Dynamics 551
9.1 Difference equations 552
9.2 Differential equations 569
Appendix Differentiation from First Principles 587
Solutions to Problems 591
Index 661

Library of Congress Subject Headings for this publication: Economics, Mathematical, Business mathematics