9780131139626

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

by ; ;
  • ISBN13:

    9780131139626

  • ISBN10:

    0131139622

  • Edition: 11th
  • Format: Hardcover
  • Copyright: 1/1/2008
  • Publisher: Prentice Hall
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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.

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