Finite Mathematics
by Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey, Geoffrey Krader
12th Edition
Publisher: Pearson
Book Details
| Print ISBN | 9780135882627 |
| eText ISBN | 9780135882566 |
| Publisher | Pearson |
| Publishing Year | 2022 |
| Edition | 12th Edition |
| Language | English |
Finite Mathematics (12th Edition) is an undergraduate textbook designed to build quantitative problem-solving skills and practical mathematical modeling techniques. The text presents essential mathematical concepts tailored for college students taking introductory quantitative coursework across multiple applied fields of study.
The content organizes subject material through structured analytical sequences. Initial sections build from linear functions and matrix algebra into optimization techniques, including graphical and simplex linear programming methods. The middle chapters examine financial calculations alongside formal logic, set theory, and probability foundations. Later units expand on these topics through descriptive statistics, counting principles, Markov chains, and strategic game theory models designed to analyze complex real-world decision scenarios.
This 12th edition incorporates new Warm-Up Exercises aimed at strengthening operational skills before students undertake main chapter exercise sets. Structured specifically for a one-semester or one-to-two quarter course sequence, the textbook provides targeted instructional support for freshman and sophomore undergraduate learners seeking a solid grounding in applied mathematics.
Table of Contents
Chapter R: Algebra Reference
- • R.1 Polynomials
- • R.2 Factoring
- • R.3 Rational Expressions
- • R.4 Equations
- • R.5 Inequalities
- • R.6 Exponents
- • R.7 Radicals
Chapter 1: Linear Functions
- • 1.1 Slopes and Equations of Lines
- • 1.2 Linear Functions and Applications
- • 1.3 The Least Squares Line
- • Chapter 1 Review
- • Extended Application: Predicting Life Expectancy
Chapter 2: Systems of Linear Equations and Matrices
- • 2.1 Solution of Linear Systems by the Echelon Method
- • 2.2 Solution of Linear Systems by the Gauss-Jordan Method
- • 2.3 Addition and Subtraction of Matrices
- • 2.4 Multiplication of Matrices
- • 2.5 Matrix Inverses
- • 2.6 Input-Output Models
- • Chapter 2 Review
- • Extended Application: Contagion
Chapter 3: Linear Programming: The Graphical Method
- • 3.1 Graphing Linear Inequalities
- • 3.2 Solving Linear Programming Problems Graphically
- • 3.3 Applications of Linear Programming
- • Chapter 3 Review
- • Extended Application: Sensitivity Analysis
Chapter 4: Linear Programming: The Simplex Method
- • 4.1 Slack Variables and the Pivot
- • 4.2 Maximization Problems
- • 4.3 Minimization Problems; Duality
- • 4.4 Nonstandard Problems
- • Chapter 4 Review
- • Extended Application: Using Integer Programming in the Stock-Cutting Problem
Chapter 5: Mathematics of Finance
- • 5.1 Simple and Compound Interest
- • 5.2 Future Value of an Annuity
- • 5.3 Present Value of an Annuity; Amortization
- • Chapter 5 Review
- • Extended Application: Time, Money, and Polynomials
Chapter 6: Logic
- • 6.1 Statements
- • 6.2 Truth Tables and Equivalent Statements
- • 6.3 The Conditional and Circuits
- • 6.4 More on the Conditional
- • 6.5 Analyzing Arguments and Proofs
- • 6.6 Analyzing Arguments with Quantifiers
- • Chapter 6 Review
- • Extended Application: Logic Puzzles
Chapter 7: Sets and Probability
- • 7.1 Sets
- • 7.2 Applications of Venn Diagrams
- • 7.3 Introduction to Probability
- • 7.4 Basic Concepts of Probability
- • 7.5 Conditional Probability; Independent Events
- • 7.6 Bayes' Theorem
- • Chapter 7 Review
- • Extended Application: Medical Diagnosis
Chapter 8: Counting Principles; Further Probability Topics
- • 8.1 The Multiplication Principle; Permutations
- • 8.2 Combinations
- • 8.3 Probability Applications of Counting Principles
- • 8.4 Binomial Probability
- • 8.5 Probability Distributions; Expected Value
- • Chapter 8 Review
- • Extended Application: Optimal Inventory for a Service Truck
Chapter 9: Statistics
- • 9.1 Frequency Distributions; Measures of Central Tendency
- • 9.2 Measures of Variation
- • 9.3 The Normal Distribution
- • 9.4 Normal Approximation to the Binomial Distribution
- • Chapter 9 Review
- • Extended Application Statistics in the Law--the Castaneda Decision
Chapter 10: Markov Chains
- • 10.1 Basic Properties of Markov Chains
- • 10.2 Regular Markov Chains
- • 10.3 Absorbing Markov Chains
- • Chapter 10 Review
- • Extended Application: A Markov Chain Model for Teacher Retention
Chapter 11: Game Theory
- • 11.1 Strictly Determined Games
- • 11.2 Mixed Strategies
- • 11.3 Game Theory and Linear Programming
- • Chapter 11 Review
- • Extended Application: The Prisoner's Dilemma--Non-Zero-Sum Games in Economics
Chapter Appendix: Appendix
- • A. Solutions to Prerequisite Skills Diagnostic Test
- • B. Logarithms
- • C. Area Under a Normal Curve
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