Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences, 13th edition

Published by Pearson (January 28, 2010) © 2011

  • Ernest F Haeussler Penn State University
  • Richard S. Paul Penn State University
  • Richard J. Wood Dalhousie University
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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.

Haeussler, Paul, and Wood establish a strong algebraic foundation that sets this text apart from other applied mathematics texts, paving the way for students to solve real-world problems that use calculus. Emphasis on developing algebraic skills is extended to the exercises–including both drill problems and applications. The authors work through examples and explanations with a blend of rigor and accessibility. In addition, they have refined the flow, transitions, organization, and portioning of the content over many editions to optimize manageability for teachers and learning for students. The table of contents covers a wide range of topics efficiently, enabling instructors to tailor their courses to meet student needs.

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

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