Mathematics for Economics and Business

by Jacques, Ian

• ISBN13: 9780273722168
• ISBN10: 0273722166
• Edition: 6th
• Format: Paperback
• Copyright: 2010-12-16
• Publisher: Prentice Hall

Summary

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.comAn 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 bookSee the Getting Started with MyMathlab section in the introduction for information on how to register and start using the resources.

Author Biography

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.

Table of Contents

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
Linear Equations	p. 13
Introduction to algebra
Further algebra
Graphs of linear equations	p. 15
Algebraic solution of simultaneous linear equations	p. 35
Supply and demand analysis	p. 47
Transposition of formulae	p. 87
National income determination	p. 96
Non-linear Equations	p. 113
Quadratic functions	p. 115
Revenue, cost and profit	p. 129
Indices and logarithms	p. 141
The exponential and natural logarithm functions	p. 162
Mathematics of Finance	p. 175
Percentages	p. 177
Compound interest	p. 194
Geometric series	p. 209
Investment appraisal	p. 220
Differentiation	p. 237
The derivative of a function	p. 239
Rules of differentiation	p. 251
Marginal functions	p. 261
Further rules of differentiation	p. 275
Elasticity	p. 284
Optimization of economic functions	p. 298
Further optimization of economic functions	p. 320
The derivative of the exponential and natural logarithm functions	p. 331
Partial Differentiation	p. 341
Functions of several variables	p. 343
Partial elasticity and marginal functions	p. 356
Comparative statics	p. 374
Unconstrained optimization	p. 386
Constrained optimization	p. 400
Lagrange multipliers	p. 411
Integration	p. 421
Indefinite integration	p. 423
Definite integration	p. 437
Matrices	p. 451
Basic matrix operations	p. 453
Matrix inversion	p. 472
Cramer's rule	p. 492
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
Graphical solution of linear programming problems	p. 517
Applications of linear programming	p. 535
Additional Topic 2 Dynamics	p. 551
Difference equations	p. 553
Differential equations	p. 569
Differentiation from First Principles	p. 587
Implicit Differentiation	p. 591
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
Linear Equations	p. 13
Introduction to algebra
Further algebra
Graphs of linear equations	p. 15
Algebraic solution of simultaneous linear equations	p. 35
Supply and demand analysis	p. 47
Transposition of formulae	p. 87
National income determination	p. 96
Non-linear Equations	p. 113
Quadratic functions	p. 115
Revenue, cost and profit	p. 129
Indices and logarithms	p. 141
The exponential and natural logarithm functions	p. 162
Mathematics of Finance	p. 175
Percentages	p. 177
Compound interest	p. 194
Geometric series	p. 209
Investment appraisal	p. 220
Differentiation	p. 237
The derivative of a function	p. 239
Rules of differentiation	p. 251
Marginal functions	p. 261
Further rules of differentiation	p. 275
Elasticity	p. 284
Optimization of economic functions	p. 298
Further optimization of economic functions	p. 320
The derivative of the exponential and natural logarithm functions	p. 331
Partial Differentiation	p. 341
Functions of several variables	p. 343
Partial elasticity and marginal functions	p. 356
Comparative statics	p. 374
Unconstrained optimization	p. 386
Constrained optimization	p. 400
Lagrange multipliers	p. 411
Integration	p. 421
Indefinite integration	p. 423
Definite integration	p. 437
Matrices	p. 451
Basic matrix operations	p. 453
Matrix inversion	p. 472
Cramer's rule	p. 492
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
Graphical solution of linear programming problems	p. 517
Applications of linear programming	p. 535
Additional Topic 2 Dynamics	p. 551
Difference equations	p. 553
Differential equations	p. 569
Differentiation from First Principles	p. 587
Implicit Differentiation	p. 591
Hessians	p. 594
Solutions to Problems	p. 598
Web Box
Table of Contents provided by Publisher. All Rights Reserved.