Finite Mathematics: For Business, Economics, Life Sciences, and Social Sciences / Edition 11

Finite Mathematics: For Business, Economics, Life Sciences, and Social Sciences / Edition 11

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

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

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Overview

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.

Product Details

ISBN-13:
9780132255707
Publisher:
Prentice Hall
Publication date:
02/07/2007
Series:
Alternative eText Formats Series
Edition description:
Older Edition
Pages:
736
Sales rank:
1,310,143
Product dimensions:
8.04(w) x 11.76(h) x 1.17(d)

Table of Contents

TABLE OF CONTENTS

PART ONE A LIBRARY OF ELEMENTARY FUNCTIONS

CHAPTER 1 Linear Equations and Graphs

1-1 Linear Equations and Inequalities

1-2 Graphs and Lines

1-3 Linear Regression

Chapter 1 Review

Review Exercise

CHAPTER 2 Functions and Graphs

2-1 Functions

2-2 Elementary Functions: Graphs and Transformations

2-3 Quadratic Functions

2-4 Exponential Functions

2-5 Logarithmic Functions

Chapter 2 Review

Review Exercise

PART TWO FINITE MATHEMATICS

CHAPTER 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 Review

Review Exercise

CHAPTER 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 Review

Review Exercise

CHAPTER 5 Linear Inequalities and Linear Programming

5-1 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 Review

Review Exercise

CHAPTER 6 Linear Programming: Simplex Method

6-1 A Geometric Introduction to the Simplex Method

6-2 The Simplex Method: Maximization with Problem Constraints of the Form ≤

6-3 The Dual; Minimization with Problem Constraints of the Form ≥

6-4 Maximization and Minimization with Mixed Problem Constraints

Chapter 6 Review

Review Exercise

CHAPTER 7 Logic, Sets, and Counting

7-1 Logic

7-2 Sets

7-3 Basic Counting Principles

7-4 Permutations and Combinations

Chapter 7 Review

Review Exercise

CHAPTER 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 Review

Review Exercise

CHAPTER 9 Markov Chains

9-1 Properties of Markov Chains

9-2 Regular Markov Chains

9-3 Absorbing Markov Chains

Chapter 9 Review

Review Exercise

CHAPTER 10 Games and Decisions

10-1 Strictly Determined Games

10-2 Mixed Strategy Games

10-3 Linear Programming and 2 ¥ 2 Games: Geometric Approach

10-4 Linear Programming and m ¥ n Games: Simplex Method and the Dual Problem

Chapter 10 Review

Review Exercise

CHAPTER 11 Data Description and Probability Distributions

11-1 Graphing Data

11-2 Measures of Central Tendency

11-3 Measures of Dispersion

11-4 Bernoulli Trials and Binomial Distributions

11-5 Normal Distributions

Chapter 11 Review

Review Exercise

APPENDIX A Basic Algebra Review

Self-Test on Basic Algebra

A-1 Algebra and 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

B-1 Sequences, Series, and Summation Notation

B-2 Arithmetic and Geometric Sequences

B-3 The Binomial Theorem

APPENDIX C Tables

Table I Area Under the Standard Normal Curve

Table II Basic Geometric Formulas

Answers

Index

Applications Index

A Library of Elementary Functions

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