Finite Mathematics : For Business, Economics, Life Sciences, and Social Sciences

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  • Edition: 11th
  • Format: Hardcover
  • Copyright: 2008-01-01
  • Publisher: Prentice Hall
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Designed to be accessible, this book 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. This book features a collection of important topics from mathematics of finance, linear algebra, linear programming, probability, and statistics, with an emphasis on cross-discipline principles and practices. For the professional who wants to acquire essential mathematical tools for application in business, economics, and the life and social sciences.

Table of Contents

A Library of Elementary Functions
Linear Equations and Graphs
Linear Equations and Inequalities
Graphs and Lines
Linear Regression Chapter 1 Review Review Exercise
Functions and Graphs
Elementary Functions: Graphs and Transformations
Quadratic Functions
Exponential Functions
Logarithmic Functions Chapter 2 Review Review Exercise
Finite Mathematics
Mathematics of Finance
Simple Interest
Compound and Continuous Compound Interest
Future Value of an Annuity; Sinking Funds
Present Value of an Annuity; Amortization Chapter 3 Review Review Exercise
Systems of Linear Equations; Matrices
Review: Systems of Linear Equations in Two Variables
Systems of Linear Equations and Augmented Matrices
Gauss-Jordan Elimination
Matrices: Basic Operations
Inverse of a Square Matrix
Matrix Equations and Systems of Linear Equations
Leontief Input-Output Analysis Chapter 4 Review Review Exercise
Linear Inequalities and Linear Programming
Inequalities in Two Variables
Systems of Linear Inequalities in Two Variables
Linear Programming in Two Dimensions: A Geometric Approach Chapter 5 Review Review Exercise
Linear Programming: Simplex Method
A Geometric Introduction to the Simplex Method
The Simplex Method: Maximization with Problem Constraints of the Form =
The Dual; Minimization with Problem Constraints of the Form =
Maximization and Minimization with Mixed Problem Constraints Chapter 6 Review Review Exercise
Logic, Sets, and Counting
Basic Counting Principles
Permutations and Combinations Chapter 7 Review Review Exercise
Sample Spaces, Events, and Probability
Union, Intersection, and Complement of Events; Odds
Conditional Probability, Intersection, and Independence
Bayes' Formula
Random Variable, Probability Distribution, and Expected Value Chapter 8 Review Review Exercise
Markov Chains
Properties of Markov Chains
Regular Markov Chains
Absorbing Markov Chains Chapter 9 Review Review Exercise
Games and Decisions
Strictly Determined Games
Mixed Strategy Games
Linear Programming and 2 eI 2 Games: Geometric Approach
Linear Programming and m eI n Games: Simplex Method and the Dual Problem Chapter 10 Review Review Exercise
Data Description and Probability Distributions
Graphing Data
Measures of Central Tendency
Measures of Dispersion
Bernoulli Trials and Binomial Distributions
Normal Distributions Chapter 11 Review Review Exercise
Basic Algebra Review Self-Test on Basic Algebra
Algebra and Real Numbers
Operations on Polynomials
Factoring Polynomials
Operations on Rational Expressions
Integer Exponents and Scientific Notation
Rational Exponents and Radicals
Quadratic Equations
Special Topics
Sequences, Series, and Summation Notation
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