* Now in 4 colour and accompanied by an outstanding suite of resources. * Combines a non-rigorous approach to mathematics with applications in economics and business.
Now 4 colour and includes an outstanding resources suite! Essential Mathematics for Economics and Business is established as one of the leading introductory textbooks for non maths specialists taking economics and business degrees. The fundamental mathematical concepts are explained as simply and briefly as possible, using a wide selection of worked examples, graphs and real-world applications. It combines a non-rigorous approach to mathematics with applications in economics and business. 'The text is aimed at providing an introductory-level exposition of mathematical methods for economics and business students. In terms of level, pace, complexity of examples and user-friendly style the text is excellent - it genuinely recognises and meets the needs of students with minimal maths background.' Colin Glass, Emeritus Professor, University of Ulster 'One of the major strengths of this book is the range of exercises in both drill and applications. Also the "worked examples" are excellent; they provide examples of the use of mathematics to realistic problems and are easy to follow' Donal Hurley, formerly of University College Cork 'The most comprehensive reader in this topic yet, this book is an essential aid to the avid economist who loathes mathematics!' Amazon.co.uk
Essential Mathematics for Economics and Business is established as one of the leading introductory textbooks on mathematics for students of business and economics. Combining a user-friendly approach to mathematics with practical applications to the subjects, the text provides students with a clear and comprehensible guide to mathematics. The fundamental mathematical concepts are explained in a simple and accessible style, using a wide selection of worked examples, progress exercises and real-world applications. New to this Edition Fully updated text with revised worked examples and updated material on Excel and Powerpoint New exercises in mathematics and its applications to give further clarity and practice opportunities Fully updated online material including animations and a new test bank The fourth edition is supported by a companion website at , which contains: Animations of selected worked examples providing students with a new way of understanding the problems Access to the Maple T.A. test bank, which features over 500 algorithmic questions Further learning material, applications, exercises and solutions. Problems in context studies, which present the mathematics in a business or economics framework Updated PowerPoint slides, Excel problems and solutions
Essential Mathematics for Economics and Business is established as one of the leading introductory textbooks on mathematics for students of business and economics. Combining a user-friendly approach to mathematics with practical applications to the subjects, the text provides students with a clear and comprehensible guide to mathematics. The fundamental mathematical concepts are explained in a simple and accessible style, using a wide selection of worked examples, progress exercises and real-world applications. New to this Edition Fully updated text with revised worked examples and updated material on Excel and Powerpoint New exercises in mathematics and its applications to give further clarity and practice opportunities Fully updated online material including animations and a new test bank The fourth edition is supported by a companion website at , which contains: Animations of selected worked examples providing students with a new way of understanding the problems Access to the Maple T.A. test bank, which features over 500 algorithmic questions Further learning material, applications, exercises and solutions. Problems in context studies, which present the mathematics in a business or economics framework Updated PowerPoint slides, Excel problems and solutions WileyPLUS is a research-based online environment for effective teaching and learning. The course builds students' confidence by taking the guesswork out of studying and provides students with a clear roadmap showing them: What to do How do to it If they did it right Offering interactive resources alongside a complete digital textbook, WileyPLUS helps students take the initiative and learn more, and has proved to have a greater impact on their achievement in the classroom, and beyond. To learn more about WileyPLUS , and view a demo, please
Until 2012, Teresa Bradley lectured in mathematics and statistics at Limerick Institute of Technology, and has been involved for many years with the University of London on the external Diploma in Economics as well as the BSc in Economics, Business and Management.
Teresa Bradley is also author of Essential Statistics for Economics, Business and Management, published by John Wiley & Sons, Ltd.
Introduction xiii Chapter 1 Mathematical Preliminaries 1 1.1 Some Mathematical Preliminaries 2 1.2 Arithmetic Operations 3 1.3 Fractions 6 1.4 Solving Equations 11 1.5 Currency Conversions 14 1.6 Simple Inequalities 18 1.7 Calculating Percentages 21 1.8 The Calculator. Evaluation and Transposition of Formulae 24 1.9 Introducing Excel 28 Chapter 2 The Straight Line and Applications 37 2.1 The Straight Line 38 2.2 Mathematical Modelling 54 2.3 Applications: Demand, Supply, Cost, Revenue 59 2.4 More Mathematics on the Straight Line 76 2.5 Translations of Linear Functions 82 2.6 Elasticity of Demand, Supply and Income 83 2.7 Budget and Cost Constraints 91 2.8 Excel for Linear Functions 92 2.9 Summary 97 Chapter 3 Simultaneous Equations 101 3.1 Solving Simultaneous Linear Equations 102 3.2 Equilibrium and Break-even 111 3.3 Consumer and Producer Surplus 128 3.4 The National Income Model and the IS-LM Model 133 3.5 Excel for Simultaneous Linear Equations 137 3.6 Summary 142 Appendix 143 Chapter 4 Non-linear Functions and Applications 147 4.1 Quadratic, Cubic and Other Polynomial Functions 148 4.2 Exponential Functions 170 4.3 Logarithmic Functions 184 4.4 Hyperbolic (Rational) Functions of the Form a/(bx + c) 197 4.5 Excel for Non-linear Functions 202 4.6 Summary 205 Chapter 5 Financial Mathematics 209 5.1 Arithmetic and Geometric Sequences and Series 210 5.2 Simple Interest, Compound Interest and Annual Percentage Rates 218 5.3 Depreciation 228 5.4 Net Present Value and Internal Rate of Return 230 5.5 Annuities, Debt Repayments, Sinking Funds 236 5.6 The Relationship between Interest Rates and the Price of Bonds 248 5.7 Excel for Financial Mathematics 251 5.8 Summary 254 Appendix 256 Chapter 6 Differentiation and Applications 259 6.1 Slope of a Curve and Differentiation 260 6.2 Applications of Differentiation, Marginal Functions, Average Functions 270 6.3 Optimisation for Functions of One Variable 286 6.4 Economic Applications of Maximum and Minimum Points 304 6.5 Curvature and Other Applications 320 6.6 Further Differentiation and Applications 334 6.7 Elasticity and the Derivative 347 6.8 Summary 357 Chapter 7 Functions of Several Variables 361 7.1 Partial Differentiation 362 7.2 Applications of Partial Differentiation 380 7.3 Unconstrained Optimisation 400 7.4 Constrained Optimisation and Lagrange Multipliers 410 7.5 Summary 422 Chapter 8 Integration and Applications 427 8.1 Integration as the Reverse of Differentiation 428 8.2 The Power Rule for Integration 429 8.3 Integration of the Natural Exponential Function 435 8.4 Integration by Algebraic Substitution 436 8.5 The Definite Integral and the Area under a Curve 441 8.6 Consumer and Producer Surplus 448 8.7 First-order Differential Equations and Applications 456 8.8 Differential Equations for Limited and Unlimited Growth 468 8.9 Integration by Substitution and Integration by Parts website only 8.10 Summary 474 Chapter 9 Linear Algebra and Applications 477 9.1 Linear Programming 478 9.2 Matrices 488 9.3 Solution of Equations: Elimination Methods 498 9.4 Determinants 504 9.5 The Inverse Matrix and Input/Output Analysis 518 9.6 Excel for Linear Algebra 531 9.7 Summary 534 Chapter 10 Difference Equations 539 10.1 Introduction to Difference Equations 540 10.2 Solution of Difference Equations (First-order) 542 10.3 Applications of Difference Equations (First-order) 554 10.4 Summary 564 Solutions to Progress Exercises 567 Worked Examples 653 Index 659
Essential Mathematics for Economics and Business is established as one of the leading introductory textbooks on mathematics for students of business and economics. Combining a user-friendly approach to mathematics with practical applications to the subjects, the text provides students with a clear and comprehensible guide to mathematics. The fundamental mathematical concepts are explained in a simple and accessible style, using a wide selection of worked examples, progress exercises and real-world applications. New to this Edition Fully updated text with revised worked examples and updated material on Excel and Powerpoint New exercises in mathematics and its applications to give further clarity and practice opportunities Fully updated online material including animations and a new test bank The fourth edition is supported by a companion website at , which contains: Animations of selected worked examples providing students with a new way of understanding the problems Access to the Maple T.A. test bank, which features over 500 algorithmic questions Further learning material, applications, exercises and solutions. Problems in context studies, which present the mathematics in a business or economics framework Updated PowerPoint slides, Excel problems and solutions
Introduction Chapter 1 ? Mathematical Preliminaries Chapter 2 ? The Straight Line and Applications Chapter 3 ? Simultaneous Equations Chapter 4 ? Non-linear Functions andApplications Chapter 5 ? Financial Mathematics Chapter 6 ? Differentiation and Applications Chapter 7 ? Functions of Several Variables Chapter 8 ? Integration and Applications Chapter 9 ? Linear Algebra and Applications Chapter 10 ? Difference Equations Solutions to Progress Exercises Bibliography List of Worked Examples Index