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

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

• ISBN13: 9780131139626
• ISBN10: 0131139622
• Edition: 11th
• Format: Hardcover
• Copyright: 2008-01-01
• Publisher: Prentice Hall

Summary

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

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

A Library of Elementary Functions

A Beginning Library of Elementary Functions

Functions

Elementary Functions: Graphs and Transformations

Linear Functions and Straight Lines

Quadratic Functions

Additional Elementary Functions

Polynomial and Rational Functions

Exponential Functions

Logarithmic Functions

Finite Mathematics

Mathematics of Finance

Simple Interest

Compound Interest

Future Value of an Annuity; Sinking Funds

Present Value of an Annuity; Amortization

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

Linear Inequalities and Linear Programming

Systems of Linear Inequalities in Two Variables

Linear Programming in Two Dimensions-A Geometric Approach

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

Logic, Sets, and Counting

Logic

Sets

Basic Counting Principles

Permutations and Combinations

Probability

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

Data Description and Probability Distributions

Graphing Data

Measures of Central Tendency

Measures of Dispersion

Bernoulli Trials and Binomial Distributions

Normal Distributions

Games and Decisions

Strictly Determined Games

Mixed Strategy Games

Linear Programming and 2 _ 2 Games-Geometric Approach

Linear Programming and m _ n Games-Simplex Method and the Dual Problem

Markov Chains

Properties of Markov Chains

Regular Markov Chains

Absorbing Markov Chains

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

Linear Equations and Inequalities in One Variable

Quadratic Equations

Special Topics

Sequences, Series, and Summation Notation

Arithmetic and Geometric Sequences

The Binomial Theorem

Tables

Area Under the Standard Normal Curve

Basic Geometric Formulas

Answers

Index

Library of Elementary Functions

Applications Index

Table of Contents provided by Publisher. All Rights Reserved.