This is an International Edition made of high-quality paper and materials published in the same manner as the US/North America edition.

"International Editions" as the name suggests are simply international versions of the US edition, and are widely used by colleges and universities around the world.

They may be printed outside of the US for a local market or they may be printed in US for a market other than US. However, the general concept, contents, printing quality, colours, paper etc are identical with the regular US edition.

The cover is soft cover and the design may be slightly different to hardcover copies. "International editions" may also have a different ISBN (although some have the same ISBN as the US edition on the inside).

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For courses in Mathematics for Business and Mathematical Methods in Business.

This classic text continues to provide a mathematical foundation for students in business, economics, and the life and social sciences. Abundant applications cover such diverse areas as business, economics, biology, medicine, sociology, psychology, ecology, statistics, earth science, and archaeology. Its depth and completeness of coverage enables instructors to tailor their courses to students’ needs. The authors frequently employ novel derivations that are not widespread in other books at this level. The Twelfth Edition has been updated to make the text even more student-friendly and easy to understand.

Contents

Each chapter concludes with a Review and a Mathematical Snapshot.

Chapter 0 Algebra Review

0.1 Sets of Real Numbers

0.2 Some Properties of Real Numbers

0.3 Exponents and Radicals

0.4 Operations with Algebraic Expressions

0.5 Factoring

0.6 Fractions

0.7 Linear Equations

0.8 Quadratic Equations Mathematical Snapshot

Chapter 1 Applications of Equations and Inequalities

1.1 Applications of Equations

1.2 Linear Inequalities

1.3 Applications of Inequalities

1.4 Absolute Value

Chapter 2 Functions and Graphs

2.1 Functions

2.2 Special Functions

2.3 Combinations of Functions

2.4 Inverse Functions

2.5 Graphs in Rectangular Coordinates

2.6 Symmetry

2.7 Translations and Reflection

Chapter 3 Lines, Parabolas, and Systems

3.1 Lines

3.2 Applications and Linear Functions

3.3 Quadratic Functions

3.4 Systems of Linear Equations

3.5 Nonlinear Systems

3.6 Applications of Systems of Equations

Chapter 4 Exponential and Logarithmic Functions

4.1 Exponential Functions

4.2 Logarithmic Functions

4.3 Properties of Logarithms

4.4 Logarithmic and Exponential Equations

Chapter 5 Mathematics of Finance

5.1 Compound Interest

5.2 Present Value

5.3 Annuities

5.4 Amortization of Loans

Chapter 6 Matrix Algebra

6.1 Matrices

6.2 Matrix Addition and Scalar Multiplication

6.3 Matrix Multiplication

6.4 Solving Systems by Reducing Matrices

6.5 Method of Reduction (continued)

6.6 Inverses

6.6 Leontief's Input-Output Analysis

Chapter 7 Linear Programming

7.1 Linear Inequalities in Two Variables

7.2 Linear Programming

7.3 Multiple Optimum Solutions

7.4 The Simplex Method

7.5 Degeneracy, Unbounded Solutions, and Multiple Optimum Solutions

7.6 Artificial Variables

7.7 Minimization

7.8 The Dual

Chapter 8 Introduction to Probability

8.1 Basic Counting Principle and Permutations

8.2 Combinations and Other Counting Principles

8.3 Sample Spaces and Events

8.4 Probability

8.5 Conditional Probability and Stochastic Processes

8.6 Independent Events

8.7 Bayes' Formula

Chapter 9 Additional Topics in Probability

9.1 Discrete Random Variables

9.2 The Binomial Distribution

9.3 Markov Chains

Chapter 10 Limits and Continuity

10.1 Limits

10.2 Limits (Continued)

10.3 Interest Compounded Continuously

10.4 Continuity

10.5 Continuity Applied to Inequalities

Chapter 11 Differentiation

11.1 The Derivative

11.2 Rules for Differentiation

11.3 The Derivative as a Rate of Change

11.4 Differentiability and Continuity

11.5 Product and Quotient Rules

11.6 The Chain Rule and the Power Rule

Chapter 12 Additional Differentiation Topics

12.1 Derivatives of Logarithmic Functions

12.2 Derivatives of Exponential Functions

12.3 Elasticity of Demand

12.4 Implicit Differentiation

12.5 Logarithmic Differentiation

12.6 Newton's Method

12.7 Higher Order Derivatives

Chapter 13 Curve Sketching

13.1 Relative Extrema

13.2 Absolute Extrema on a Closed Interval

13.3 Concavity

13.4 The Second Derivative Test

13.5 Asymptotes

13.6 Applied Maxima and Minima

Chapter 14 Integration

14.1 Differentials

14.2 The Indefinite Integral

14.3 Integration with Initial Conditions

14.4 Some Integration Formulas

14.5 Techniques of Integration

14.6 Summation

14.7 The Definite Integral

14.8 The Fundamental Theorem of Calculus

14.9 Approximate Integration

14.10 Area

14.11 Area Between Curves

14.12 Consumers' and Producers' Surplus

Chapter 15 Further Methods and Applications of Integration

15.1 Integration by Parts

15.2 Integration by Partial Fractions

15.3 Integration by Tables

15.4 Average Value of a Function

15.5 Differential Equations

15.6 More Applications of Differential Equations

15.7 Improper Integrals

Chapter 16 Continuous Random Variables

16.1 Continuous Random Variables

16.2 The Normal Distribution

16.3 The Normal Approximation to the Binomial Distribution

Chapter 17 Multivariable Calculus

17.1 Functions of Several Variables

17.2 Partial Derivatives

17.3 Applications of Partial Derivatives

17.4 Implicit Partial Differentiation

17.5 Higher Order Partial Derivatives

17.6 The Chain Rule

17.7 Maxima and Minima for Functions of Two Variables

17.8 Lagrange Multipliers

17.9 Lines of Regression

17.10 A Comment on Homogeneous Functions

17.11 Multiple Integrals