Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences / Edition 12

Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences / Edition 12

by Ernest F. Haeussler, Richard S. Paul, Richard J. Wood, R. J. Wood
     
 

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ISBN-10: 0132404222

ISBN-13: 9780132404228

Pub. Date: 03/15/2007

Publisher: Prentice Hall

This classic book continues to provide a foundation for mathematical literacy in business, economics, and the life and social sciences. Covers concepts ranging from introductory equations and functions through curve sketching, integration, and multivariable calculus. Helps readers connect concepts with the world around them through genuine applications, covering

Overview

This classic book continues to provide a foundation for mathematical literacy in business, economics, and the life and social sciences. Covers concepts ranging from introductory equations and functions through curve sketching, integration, and multivariable calculus. Helps readers connect concepts with the world around them through genuine applications, covering such diverse areas as business, economics, biology, medicine, sociology, psychology, ecology, statistics, earth science, and archaeology. Updates exercises, problems, and Mathematical Snapshots throughout. Improves writing style and mathematical derivations without sacrificing the book’s signature flavor. For anyone interested in learning more about introductory mathematical analysis.

Product Details

ISBN-13:
9780132404228
Publisher:
Prentice Hall
Publication date:
03/15/2007
Edition description:
Older Edition
Pages:
896
Product dimensions:
8.74(w) x 11.20(h) x 1.35(d)

Table of Contents

Each chapter concludes with a Review and a Mathematical Snapshot.

Chapter 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

Chapter 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

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 Reflections

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 Interest Compounded Continuously

5.4 Annuities

5.5 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 Solving Systems by Reducing Matrices (continued)

6.6 Inverses

6.7 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 Solutions

7.6 Artificial Variables

7.7 Minimization

7.8 The Dual

Chapter 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' Formula

Chapter 9 Additional Topics in Probability

9.1 Discrete Random Variables and Expected Value

9.2 The Binomial Distribution

9.3 Markov Chains

Chapter 10 Limits and Continuity

10.1 Limits

10.2 Limits (Continued)

10.3 Continuity

10.4 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 The Product Rule and the Quotient Rule

11.5 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 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

14.10 Area Between Curves

14.11 Consumers' and Producers' Surplus

Chapter 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

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 Multiple Integrals

Appendix A Compound Interest Tables

Appendix B Table of Selected Integrals

Appendix C Areas Under the Standard Normal Curve

Answers to Odd-Numbered Problems

Index

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