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Addison-Wesley / Prentice Hall

Mathematics

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Finite Mathematics for Business Economics, Life Sciences and Social Sciences, 10/E
Raymond A. Barnett
Michael R. Ziegler
Karl E. Byleen

ISBN-10: 0131139622
ISBN-13:  9780131139626

Publisher:  Prentice Hall
Copyright:  2005
Format:  Cloth; 816 pp
Published:  03/22/2004
New edition available
  This item has been replaced by Finite Mathematics for Business, Economics, Life Sciences and Social Sciences, 11/E.



For freshman- to sophomore-level, one-term or one-quarter courses in Finite Mathematics in business, economics, social sciences, or life sciences departments.

This mid-level text covers mathematics of finance, linear algebra, linear programming, probability, and descriptive statistics, with an emphasis on cross- discipline principles and practices. Student-friendly and accessible, it develops a thorough, functional understanding of mathematical concepts in preparation for their application in other areas. Coverage concentrates on developing concepts and ideas followed immediately by developing computational skills and problem solving.

  • Over 260 numbered worked examples—Many with lettered parts.
    • Enhances presentation of examples for better student comprehension and review.

    • The examples are annotated and the problem-solving steps are clearly identified.

    • Think Boxes (dashed boxes) are used to enclose steps that are usually performed mentally (see sections 1-1 and 4-1).

  • Matched Problems—Each example is followed by a "Matched Problem." This gives the student an opportunity to reinforce and test his/her understanding of the concept presented in the preceding example. Answers to these problems are located in the Answers Section, located at the end of the text.
  • Over 3,500 carefully selected and graded exercises—Divided into A, B, and C levels of difficulty in each problem set.
    • The exercise sets contain application problems that are split into three different types: 1) Business and Economics; 2) Life Science; 3) Social Science. These different types cater to the diverse needs of the student.

  • Explore-Discuss boxes—Interspersed in every section.
    • Encourages students to think about a relationship or process before a result is stated, or investigate additional consequences of a development in the text, so that they can better participate in the learning process and discussion- both in and out of class.

    • Promotes critical-thinking skills.

  • Chapter Review exercises and answers. Also includes suggested group activities and key terms.
  • Emphasis on the construction of mathematical models, especially in linear systems and linear programming.
    • Gives students a thorough introduction to this very important topic.

  • Optional graphing utility examples and exercises—Clearly identified by an icon.
    • Provides a deeper understanding of mathematical concepts and allows students to solve problems that cannot be solved by hand.

  • Algebra review in Appendix A.
    • Supplies a convenient reference to reinforce the skills necessary for success.

  • Library of Elementary Functions—Optional material that can be covered in its entirety or referred to as needed.
    • Encourages students to view mathematical ideas and processes graphically, numerically, and algebraically.

  • Optional regression analysis—Includes graphing calculator and spreadsheet output.
    • Illustrates one of the basic tools of mathematical modeling with optional examples and exercises, so that students can relate the text topics to the real world.

  • Topic selection, coverage, and organization—From the course outlines and catalogs of many major colleges and universities.
    • Takes into account the way the course is typically taught. Gives students the essential mathematical skills needed to effectively pursue courses of study in business and economics.

  • NEW - New and revised applications throughout—Illustrates the relevance of mathematics to the real world and gives students opportunities to create and interpret math models.
  • NEW - Revisions and updates throughout—Presents a more logical flow of material. There is a new section on Logic. Chapter 6 (Logic, Sets, and Counting) serves as a foundation for Probability (Ch. 7); makes the coverage even more accessible to students. Coverage of graphing data and quantitative data has been combined into one section (section 8.1); provides a more concise introduction to these topics.
  • NEW - Insight boxes—A new feature, appearing in every chapter, that helps students make connections with previous knowledge.
  • NEW - 15% new or revised exercises—Increases the number of A level problems and explore-discuss problems, while decreasing the number of exercises that involve extensive algebraic manipulation.
  • NEW - Chapter Problem—A new feature appearing on the chapter opener in which a motivational problem is presented, which relates to the chapter content, and illustrates the relevancy of the material that students are learning.
  • NEW - Updated pedagogy throughout—Includes chapter-opening problems, learning objectives, and thorough end-of-chapter summaries.
    • Helps the student prepare for the chapter material and serves as a useful study tool.

(Each chapter concludes with Important Terms, Symbols, and Concepts; Review Exercise; and Group Activities.)

PART ONE. A LIBRARY OF ELEMENTARY FUNCTIONS.

CHAPTER 1. A Beginning Library of Elementary Functions.

1-1 Functions.

1-2 Elementary Functions: Graphs and Transformations.

1-3 Linear Functions and Straight Lines.

1-4 Quadratic Functions.

CHAPTER 2. Additional Elementary Functions.

2-1 Polynomial and Rational Functions.

2-2 Exponential Functions.

2-3 Logarithmic Functions.

PART TWO. FINITE MATHEMATICS.

CHAPTER 3. Mathematics of Finance.

3-1 Simple Interest.

3-2 Compound Interest.

3-3 Future Value of an Annuity; Sinking Funds.

3-4 Present Value of an Annuity; Amortization.

CHAPTER 4. Systems of Linear Equations; Matrices.

4-1 Review: Systems of Linear Equations in Two Variables.

4-2 Systems of Linear Equations and Augmented Matrices.

4-3 Gauss-Jordan Elimination.

4-4 Matrices: Basic Operations.

4-5 Inverse of a Square Matrix.

4-6 Matrix Equations and Systems of Linear Equations.

4-7 Leontief Input-Output Analysis.

CHAPTER 5. Linear Inequalities and Linear Programming.

5-1 Systems of Linear Inequalities in Two Variables.

5-2 Linear Programming in Two Dimensions—A Geometric Approach.

5-3 A Geometric Introduction to the Simplex Method.

5-4 The Simplex Method: Maximization with Problem Constraints of the Form.

5-5 The Dual; Minimization with Problem Constraints of the Form.

5-6 Maximization and Minimization with Mixed Problem Constraints.

CHAPTER 6. Logic, Sets, and Counting.

6-1 Logic.

6-2 Sets.

6-3 Basic Counting Principles.

6-4 Permutations and Combinations.

CHAPTER 7. Probability.

7-1 Sample Spaces, Events, and Probability.

7-2 Union, Intersection, and Complement of Events; Odds.

7-3 Conditional Probability, Intersection, and Independence.

7-4 Bayes' Formula.

7-5 Random Variable, Probability Distribution, and Expected Value.

CHAPTER 8. Data Description and Probability Distributions.

8-1 Graphing Data.

8-2 Measures of Central Tendency.

8-3 Measures of Dispersion.

8-4 Bernoulli Trials and Binomial Distributions.

8-5 Normal Distributions.

CHAPTER 9. Games and Decisions.

9-1 Strictly Determined Games.

9-2 Mixed Strategy Games.

9-3 Linear Programming and 2 _ 2 Games—Geometric Approach.

9-4 Linear Programming and m _ n Games—Simplex Method and the Dual Problem.

CHAPTER 10. Markov Chains.

10-1 Properties of Markov Chains.

10-2 Regular Markov Chains.

10-3 Absorbing Markov Chains.

APPENDIX A. Basic Algebra Review.

Self-Test on Basic Algebra.

A-1 Algebra and Real Numbers.

A-2 Operations on Polynomials.

A-3 Factoring Polynomials.

A-4 Operations on Rational Expressions.

A-5 Integer Exponents and Scientific Notation.

A-6 Rational Exponents and Radicals.

A-7 Linear Equations and Inequalities in One Variable.

A-8 Quadratic Equations.

APPENDIX B. Special Topics.

B-1 Sequences, Series, and Summation Notation.

B-2 Arithmetic and Geometric Sequences.

B-3 The Binomial Theorem.

APPENDIX C. Tables.

Table I Area Under the Standard Normal Curve.

Table II Basic Geometric Formulas.

Answers.

Index.

Library of Elementary Functions.

Applications Index.

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