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

Published by Pearson (January 3, 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.
  • 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.

  • Many new and updated exercises (about 20%), include updates to real-world data and changes made in response to user feedback.
  • Early chapters better pave the way for later chapters through the early introduction of concepts and notation at appropriate levels of sophistication. For example, summation notation is introduced early (in Chapter 1) to build student familiarity prior to its later use (in Chapter 9).
  • Organizational changes to sections are given below. There are also many other improvements to the text involving partial revisions of sections.
    • In Chapter 1, a new section on Sequences was added.
    • The section on Functions of Several Variables, formerly in Chapter 17, was moved to Chapter 2 and rewritten to suit that placement.
    • A section on Perpetuities was added to Chapter 5.
    • The sections on Area and Area between Curves in Chapter 14 were combined into a single section and adapted considerably.
  • Labeling improvements were made to several features to clarify their pedagogical use for instructors and students.
    • Mathematical Snapshots at the ends of chapters are now referred to as Explore & Extend.
    • Principles in Practice exercises next to examples are now referred to as Apply It exercises.
    • Pointer notes in the margin are now named To Review.
  • “Now Work” exercises have been increased in number and feature improved pairings of worked examples and exercises in the sections.
  • “To Review” comments, formerly known as “Pointers”, refer students to previously covered topics and sections that may be helpful in their understanding of this new content.

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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