Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences

by Barnett, Raymond A.; Ziegler, Michael R.; Byleen, Karl E.; Stocker, Christopher J.

• ISBN13: 9780134675985
• ISBN10: 0134675983
• eBook ISBN(s): 9780134677972
• Additional ISBN(s): 9780321614018
• Edition: 14th
• Format: Hardcover
• Copyright: 2018-01-12
• Publisher: Pearson
• More Book Details

Summary

For one-semester courses in Finite Mathematics.

Built-in guidance that helps students “get the idea.”

Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences, 14th Edition offers more built-in guidance than any other text available – with special emphasis on prerequisites skills – and a host of student-friendly features to help students catch up or learn on their own. The text’s emphasis on helping students “get the idea” is enhanced in the new edition by a design refresh, updated data and applications, and a robust MyLab™ Math course.

Also available with MyLab Math

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NOTE: You are purchasing a standalone product; MyLab™ Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.

If you would like to purchase both the loose-leaf version of the text and MyLab Math, search for:

0134862627 / 9780134862620   Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences Plus MyLab Math with Pearson eText — Title-Specific Access Card Package, 14/e

Package consists of:

• 0134675983 / 9780134675985 Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences
  
• 0134880412 / 9780134880419 MyLab Math with Pearson eText — Standalone Access Card - for Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences
  

 

Author Biography

Raymond A. Barnett, a native of California, received his B.A. in mathematical statistics from the University of California at Berkeley and his M.A. in mathematics from the University of Southern California. He has been a member of the Merritt College Mathematics Department, and was chairman of the department for four years. Raymond Barnett has authored or co-authored eighteen textbooks in mathematics, most of which are still in use. In addition to international English editions, a number of books have been translated into Spanish.

 

Michael R. Ziegler (late) received his B.S. from Shippensburg State College and his M.S. and Ph.D. from the University of Delaware. After completing post doctoral work at the University of Kentucky, he was appointed to the faculty of Marquette University where he held the rank of Professor in the Department of Mathematics, Statistics, and Computer Science. Dr. Ziegler published over a dozen research articles in complex analysis and co-authored eleven undergraduate mathematics textbooks with Raymond A. Barnett, and more recently, Karl E. Byleen.

 

Karl E. Byleen received his B.S., M.A. and Ph.D. degrees in mathematics from the University of Nebraska. He is currently an Associate Professor in the Department of Mathematics, Statistics and Computer Science of Marquette University. He has published a dozen research articles on the algebraic theory of semigroups.

Christopher Stocker received his B.S. in mathematics and computer science from St. John’s University in Minnesota and his M.A. and Ph.D. degrees in mathematics from the University of Illinois in Urbana-Champaign.  He is currently an Adjunct Assistant Professor in the Department of Mathematics, Statistics, and Computer Science of Marquette University.  He has published eight research articles in the areas of graph theory and combinatorics.

Table of Contents

I. A LIBRARY OF ELEMENTARY FUNCTIONS

1. Linear Equations and Graphs 

1.1 Linear Equations and Inequalities 

1.2 Graphs and Lines 

1.3 Linear Regression 

Chapter 1 Summary and Review

Review Exercises

 

2. Functions and Graphs

2.1 Functions 

2.2 Elementary Functions: Graphs and Transformations 

2.3 Quadratic Functions 

2.4 Polynomial and Rational Functions 

2.5 Exponential Functions 

2.6 Logarithmic Functions 

Chapter 2 Summary and Review 

Review Exercises 

 

II. FINITE MATHEMATICS

3. Mathematics of Finance 

3.1 Simple Interest

3.2 Compound and Continuous Compound Interest

3.3 Future Value of an Annuity; Sinking Funds 

3.4 Present Value of an Annuity; Amortization 

Chapter 3 Summary and Review 

Review Exercises

 

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 4 Summary and Review 

Review Exercises 

 

5. Linear Inequalities and Linear Programming 

5.1 Linear Inequalities in Two Variables 

5.2 Systems of Linear Inequalities in Two Variables 

5.3 Linear Programming in Two Dimensions: A Geometric Approach

Chapter 5 Summary and Review 

Review Exercises

 

6. Linear Programming: The Simplex Method

6.1 The Table Method: An Introduction to the Simplex Method

6.2 The Simplex Method: Maximization with Problem Constraints of the Form ≤ 

6.3 The Dual Problem: Minimization with Problem Constraints of the Form ≥ 

6.4 Maximization and Minimization with Mixed Problem Constraints 

Chapter 6 Summary and Review 

Review Exercises 

 

7. Logic, Sets, and Counting 

7.1 Logic

7.2 Sets 

7.3 Basic Counting Principles 

7.4 Permutations and Combinations 

Chapter 7 Summary and Review 

Review Exercises

 

8. Probability 

8.1 Sample Spaces, Events, and Probability 

8.2 Union, Intersection, and Complement of Events; Odds 

8.3 Conditional Probability, Intersection, and Independence

8.4 Bayes’ Formula

8.5 Random Variable, Probability Distribution, and Expected Value 

Chapter 8 Summary and Review 

Review Exercises 

 

9. Markov Chains 

9.1 Properties of Markov Chains 

9.2 Regular Markov Chains 

9.3 Absorbing Markov Chains 

Chapter 9 Summary and Review

Review Exercises 

 

10. Data Description and Probability Distributions 

10.1 Graphing Data 

10.2 Measures of Central Tendency

10.3 Measures of Dispersion 

10.4 Bernoulli Trials and Binomial Distributions 

10.5 Normal Distributions

Chapter 10 Summary and Review 

Review Exercises

  

11. Games and Decisions (online at goo.gl/6VBjkQ) 

11.1 Strictly Determined Games 

11.2 Mixed-Strategy Games 

11.3 Linear Programming and 2 x 2 Games: A Geometric Approach 

11.4 Linear Programming and m x n Games: Simplex Method and the Dual Problem

Chapter 11 Summary and Review 

Review Exercises 

 

Appendix A: Basic Algebra Review 

A.1 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 Quadratic Equations 

 

Appendix B:  Special Topics (online at goo.gl/mjbXrG)  

B.1 Sequences, Series, and Summation Notation 

B.2 Arithmetic and Geometric Sequences

B.3 Binomial Theorem 

 

Appendix C: Area under the Standard Normal Curve 

 

Answers

Index

Index of Applications