# Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences: Pearson New International Edition

13th EditionJul 2013, Paperback, 864 pages

ISBN13: 9781292021140

ISBN10: 1292021144

Not currently available

## Description

- Table of Contents
- Features

**This book is ideal for one- or two-semester or two- or three-quarter courses covering topics in college algebra, finite mathematics, and calculus for students in business, economics, and the life and social sciences.**

- Description
## Table of Contents

- Features

**Part I. ALGEBRA**

**0. Review of Algebra**

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 Equations, in Particular Linear, Equations

0.8 Quadratic Equations

**1. Applications and More Algebra**

1.1 Applications of Equations

1.2 Linear Inequalities

1.3 Applications of Inequalities

1.4 Absolute Value

1.5 Summation Notation

1.6 Sequences

**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 Reflections

2.8 Functions of Several Variables

**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

**4. Exponential and Logarithmic Functions**

4.1 Exponential Functions

4.2 Logarithmic Functions

4.3 Properties of Logarithms

4.4 Logarithmic and Exponential Equations

**Part II. FINITE MATHEMATICS**

**5. Mathematics of Finance**

5.1 Compound Interest

5.2 Present Value

5.3 Interest Compounded Continuously

5.4 Annuities

5.5 Amortization of Loans

5.6 Perpetuities

**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 Solving Systems by Reducing Matrices (continued)

6.6 Inverses

6.7 Leontief's Input-Output Analysis

**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 Solutions

7.6 Artificial Variables

7.7 Minimization

7.8 The Dual

**8. Introduction to Probability and Statistics**

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's Formula

**9. Additional Topics in Probability**

9.1 Discrete Random Variables and Expected Value

9.2 The Binomial Distribution

9.3 Markov Chains

**Part III. CALCULUS**

**10. Limits and Continuity**

10.1 Limits

10.2 Limits (Continued)

10.3 Continuity

10.4 Continuity Applied to Inequalities

**11. Differentiation**

11.1 The Derivative

11.2 Rules for Differentiation

11.3 The Derivative as a Rate of Change

11.4 The Product Rule and the Quotient Rule

11.5 The Chain Rule

**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

**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

**14. Integration**

14.1 Differentials

14.2 The Indefinite Integral

14.3 Integration with Initial Conditions

14.4 More Integration Formulas

14.5 Techniques of Integration

14.6 The Definite Integral

14.7 The Fundamental Theorem of Integral Calculus

14.8 Approximate Integration

14.9 Area between Curves

14.10 Consumers' and Producers' Surplus

**15. 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

**16. Continuous Random Variables**

16.1 Continuous Random Variables

16.2 The Normal Distribution

16.3 The Normal Approximation to the Binomial Distribution

**17. Multivariable Calculus**

17.1 Partial Derivatives

17.2 Applications of Partial Derivatives

17.3 Implicit Partial Differentiation

17.4 Higher-Order Partial Derivatives

17.5 Chain Rule

17.6 Maxima and Minima for Functions of Two Variables

17.7 Lagrange Multipliers

17.8 Lines of Regression

17.9 Multiple Integrals

- Description
- Table of Contents
## Features

**Diverse applications**both in the exercises and the examples help students see how mathematics is applied to everyday and work-related situations. Many use real-world data to increase their relevance to students’ lives.**More than 5,000 exercises**provide a wide variety of quality problems that are sorted in increasing order of difficulty, starting with basic skills and applications and progressing to increasingly challenging exercises.**More than 850 examples**are worked out in detail. Many examples include strategies that are specifically designed to guide students through the logistics of the solution before finding the solution.**“Now Work” exercises**follow every example, suggesting an end-of-section exercise that is similar in style and concept to the example. This gives the student the opportunity to test and confirm their understanding. Answers to the “Now Work” exercises are found in the Answers section in the back of the text.**Apply It**exercises (formerly titled*Principles in Practice*) are located in the margins next to examples to provide an opportunity for students to apply and check their understanding of the mathematics in the corresponding example.**Explore & Extend**exercises (formerly titled*Mathematical Snapshot*) at the end of each chapter offer stimulating, relevant, and often novel applications involving chapter concepts, reinforcing the text’s strong emphasis on hands-on practice.

**More than 500 diagrams**illustrate and clarify concepts for students.**Optional graphing calculator tutorials**appear throughout the text in both the exposition and the exercises, providing students with a tool to assist comprehension and understanding when appropriate.**End-of-chapter review**provides a list of important terms and symbols, chapter summary, and numerous review problems for students to practice and reinforce their understanding of the concepts.