Finite Mathematics For the Managerial, Life and Social Sciences

by Tan, Soo T.

• ISBN13: 9780534369606
• ISBN10: 053436960X
• Format: Hardcover
• Copyright: 1999-12-20
• Publisher: Brooks Cole

Summary

In Finite Mathematics For the Managerial, Life, and Social Sciences, Sixth Edition, Soo Tan builds on the features that have made his texts market leaders--a real-life, problem-solving approach coupled with a concise writing style, a wealth of interesting and illustrative applications to help students understand the material, and technology coverage that is integrated, but optional, throughout the book. Tan is well known for his ability to present quantitative techniques in an intuitive and accessible yet accurate manner.

Table of Contents

Straight Lines And Linear Functions

The Cartesian Coordinate System

Straight Lines

Linear Functions and Mathematical Models

Intersection of Straight Lines

The Method of Least Squares (Optional)

Summary of Principal Terms

Review Exercises

Systems Of Linear Equations And Matrices

Systems of Linear Equations - Introduction

Solving Systems of Linear Equations I

Solving Systems of Linear Equations II

Matrices

Multiplication of Matrices

The Inverse of a Square Matrix

Leontief Input-Output Model (Optional)

Summary of Principal Terms

Review Exercises

Linear Programming: A Geometric Approach

Graphing Systems of Linear Inequalities in Two Variables

Linear Programming Problems

Graphical Solution of Linear Programming Problems

Summary of Principal Terms

Review Exercises

Linear Programming: An Algebraic Approach

The Simplex Method: Standard Maximization Problems

The Simplex Method: Standard Minimization Problems

The Simplex Method: Nonstandard Problems (Optional)

Summary of Principal Terms

Review Exercises

Mathematics Of Finance

Compound Interest

Annuities

Amortization and Sinking Funds

Arithmetic and Geometric Progressions (Optional)

Summary of Principal Formulas and Terms

Review Exercises

Sets And Counting

Sets and Set Operations

The Number of Elements in a Finite Set

The Multiplication Principle

Permutations and Combinations

Review Exercises

Probability

Experiments, Sample Spaces, and Events

Definition of Probability

Rules of Probability

Use of Counting Techniques in Probability

Conditional Probability and Independent Events

Bayes'' Theorem

Summary of Principal Terms

Review Exercises

Probability Distributions And Statistics

Distributions of Random Variables

Expected Value

Variance and Standard Deviation

The Binomial Distribution

The Normal Distribution

Applications of the Normal Distribution

Review Exercises

Markov Chains And The Theory Of Games

Markov Chains

Regular Markov Chains

Absorbing Markov Chains

Game Theory and Strictly Determined Games

Games with Mixed Strategies

Summary of Principal Formulas and Terms

Review Exercises

Introduction To Logic

Propositions and Connectives

Truth Tables

The Conditional and the Biconditional Connectives

Laws of Logic

Arguments

Applications of Logic to Switching Networks

The System Of Real Numbers

Tables

Compound Amount, Present Value, and Annuity

Binomial Probabilities

The Standard Normal Distribution

Answers To Odd-Numbered Exercises

Index

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