Description
Book SynopsisRaymond 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
Table of Contents
I. A LIBRARY OF ELEMENTARY FUNCTIONS
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
