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"This textbook is intended primarily for students on economics, business studies and management courses. It assumes very little prerequisite knowledge, so it can be read by students who have not undertaken a mathematics course for some time. The style is informal, and the text contains a large number of worked examples. Students are encouraged to tackle problems for themselves as they read through each section. Solutions are provided so that all answers can be checked. Consequently, it should be possible to work through this text on a self-study basis. The material is wide ranging and varies from elementary topics such as percentages and linear equations to more sophisticated topics such as constrained optimisation of multivariate functions. The text should therefore be suitable for use on both low- and high-level quantitative methods courses. This text was first published in 1991. The prime motivation for writing it then was to try to produce a book that students could actually read and understand for themselves. This remains the guiding principle when writing this tenth edition. Extra features and resources requested by students over the years are now incorporated into the printed book. These include end-of-chapter multiple-choice tests and longer examination questions. All of these are designed to help students pass the course. Online resources include access to the eBook and a bank of new problems in MyLab Math. The latter provides students with an interactive learning environment where they can concentrate on topics that they find difficult and measure their own progress. There is a 'help me solve it' mode which provides step-by-step guidance to solve a problem with the system acting like a personal tutor. Lecturer's resources include fully worked solutions to all of the standard problems in the textbook, PowerPoint slides, material on more advanced topics and an introduction to the use of the software packages Excel and Maple in mathematical economics. Many of the examples and questions in this edition have been updated to make them more contemporary. New material on the second-order conditions for Lagrange multipliers and a new section on Lorenz curves and Gini coefficients are provided. Case studies are now included to give an indication how the mathematics covered in each chapter can actually be used by businesses and individuals in practice, which we hope students will find relevant and interesting"--

MATHEMATICS FOR ECONOMICS AND BUSINESS -- Contents -- Preface -- Structure of the book -- Accompanying resources in Mybook -- 1. Numbers -- 1.1 Natural and relative integers -- 1.2 Rational numbers -- 1.3 Real numbers -- 1.4 Sum of terms in a progression -- 1.5 An outline of set theory -- 1.6 Sets of real numbers -- 1.7 The cartesian plane -- 1.8 How many elements in a set? -- 1.9 Exercises -- 2. Functions -- 2.1 The concept of function -- 2.2 Sequences -- 2.3 Linear functions -- 2.4 Quadratic and inverse proportionality -- 2.5 Composite function. Inverse function -- 2.6 Monotonic, bounded, convex functions -- 2.7 Power functions -- 2.8 Exponential, logarithmic, trigonometric functions -- 2.9 Geometric transformations -- 2.10 Exercises -- 3. Limits -- 3.1 Limits of sequences -- 3.2 Limits of functions -- 3.3 Existence of the limit -- 3.4 The number e -- 3.5 Calculation of limits -- 3.6 Comparisons -- 3.7 Exercises -- 4. Continuity -- 4.1 An intuitive idea of continuity -- 4.2 Continuous functions -- 4.3 Properties of continuous functions -- 4.4 Exercises -- 5. Differential Calculus and Optimization -- 5.1 Derivative and tangent line -- 5.2 Elementary formulae -- 5.3 Algebra of derivatives -- 5.4 Composite functions and inverse functions -- 5.5 The differential -- 5.6 Elasticity and semi-elasticity -- 5.7 Optimization and stationary points -- 5.8 Lagrange's mean value theorem -- 5.9 Monotonicity test -- 5.10 De l'Hospital's theorem -- 5.11 Taylor's formula -- 5.12 Test for convexity (or concavity) -- 5.13 Taylor's formula of order n -- 5.14 Exercises -- 6. Series -- 6.1 The concept of series -- 6.2 Geometric series -- 6.3 The problem of convergence -- 6.4 Series with non-negative terms -- 6.5 Series with terms of non-constant sign -- 6.6 Exercises -- 7. Integral Calculus -- 7.1 Introduction -- 7.2 The Riemann integral

For all students who wish to understand current economic and business literature, knowledge of mathematical methods has become a prerequisite. Clear and concise, with precise definitions and theorems, Werner and Sotskov cover all the major topics required to gain a firm grounding in this subject including sequences, series, applications in finance, functions, differentiations, differentials and difference equations, optimizations with and without constraints, integrations and much more. Containing exercises and worked examples, precise definitions and theorems as well as economic applications, this book provides the reader with a comprehensive understanding of the mathematical models and tools used in both economics and business.

"Thanks to feedback from users around the world, Managerial Economics and Business Strategy remains the best-selling managerial text in the market. We are grateful to all of you for allowing us to provide this updated and improved edition. Before highlighting some of the new features of the tenth edition, we would like to stress that the fundamental goal of the book-providing students with the tools from intermediate microeconomics, game theory, and industrial organization that they need to make sound managerial decisions-has not changed. What has changed are the examples used to make managerial economics come to life for this generation of students, a stronger integration with data-based decision-making, and an enriched utilization of new technologies (such as Connect) for enhancing the teaching and learning experiences of instructors and their students"--

1. Introduction -- 2. Sequences, series, finance -- 3. Relations, mappings, functions of a real variable -- 4. Differentiation -- 5. Integration -- 6. Vectors -- 7. Matrices and determinants -- 8. Linear equations and inequalities -- 9. Linear programming -- 10. Eigenvalue problems and quadratic forms -- 11. Functions of several variables -- 12. Differential equations and difference equations.