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Addison-Wesley / Prentice Hall

Mathematics

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Finite Mathematics and Its Application, 9/E
Larry J. GoldsteinGoldstein Educational Technologies
David I. SchneiderUniversity of Maryland
Martha J. SiegelTowson State University

ISBN-10: 0131873644
ISBN-13:  9780131873643

Publisher:  Prentice Hall
Copyright:  2007
Format:  Cloth; 736 pp
Published:  01/31/2006
New edition available
  This item has been replaced by Finite Mathematics & Its Applications, 10/E.



A “tried and true” favorite of both students and instructors alike, this text offers extremely readable coverage of the principles of finite mathematics and their applications in business, social science, and the life sciences. Topics are presented in a straightforward, interesting manner, with considerable attention given to the applications of the mathematics. The goal is for the students' mathematical maturity and appreciation for the usefulness of mathematics to grow simultaneously. Many sections contain specially designed technology exercises.

An abundance of carefully designed exercise sets:

– Features more than 2200 exercises, usually arranged in the order in which the text proceeds (so that homework assignments may be made easily after only part of a section is discussed).

– Interesting applications and more challenging problems tend to be located near the ends of the exercise sets.

– Supplementary exercises at the end of each chapter amplify the other exercise sets and provide cumulative exercises that require skills acquired from earlier chapters. Answers to the odd-numbered exercises are included at the back of the book.

• Real-life applications – Illustrates the uses of finite mathematics in other disciplines, and, wherever possible, uses applications to motivate the mathematics.

• Examples – Includes many more worked examples than is customary, and includes computational details.

• Practice Problems – At the end of each section, just before the exercise set. Complete solutions follow the exercise sets.

Examples from professional exams:

– Includes multiple-choice questions (labeled PE) similar to those found on CPA, GMAT, and GRE Economics exams.

– Performance on these exams is key to students entering professional and graduate programs. Familiarity with the exams may result in better performance.

 

20% REVISED and/or NEW exercises. Updated real-world data throughout.

 

Over20% of the Examples have been revised and/or updated and all Examples are labeled to make them more easily identifiable.

 

Circled exercises – When the number for an exercise is circled, the complete solution of the exercise is given in the back of the book. This gives students additional guidance and support working exercises.

 

Conceptual Exercises These challenging exercises probe fundamental concepts, often involve verbalization of ideas, and usually do not have a numerical answer.

 

• Key Formulas –A new section has been added near the end of each chapter that presents the formulas developed in the chapter. Provides a handy overview for students of the important mathematical notation.

 

Calculator Upgrade – Although graphing calculators are optional, many students have calculators from high school. The discussion of the use of calculators has been upgraded by including the TI-89 along with the previous discussion on the use of the TI-83.  The material on the TI-82 has been removed.

 

 Logic Circuits – A section on logic circuits has been added to the logic chapter.

  • MyMathLab - comes with MyMathLab (valuable online tutorial) so that students can practice and practice to learn the important concepts and skills.

 

 

 

Preface

Index of Applications

 

Chapter 1 Linear Equations and Straight Lines

1.1 Coordinate Systems and Graphs

1.2 Linear Inequalities

1.3 The Intersection Point of a Pair of Lines

1.4 The Slope of a Straight Line

1.5 The Method of Least Squares

Chapter Project: Break-even Analysis

 

Chapter 2 Matrices

2.1 Solving Systems of Linear Equations, I

2.2 Solving Systems of Linear Equations, II

2.3 Arithmetic Operations on Matrices

2.4 The Inverse of a Matrix

2.5 The Gauss-Jordan Method for Calculating Inverses

2.6 Input-Output Analysis

Chapter Project: Population Dynamics

 

Chapter 3  Linear Programming, A Geometric Approach  

3.1 A Linear Programming Problem

3.2 Linear Programming, I

3.3 Linear Programming, II

Chapter Project: Shadow Prices

 

Chapter 4  The Simplex Method

4.1 Slack Variables and the Simplex Tableau

4.2 The Simplex Method, I: Maximum Problems

4.3 The Simplex Method, II: Minimum Problems

4.4 Sensitivity Analysis and Matrix Formulations of Linear Programming Problems

4.5 Duality

Chapter Project: Shadow Prices

 

Chapter 5  Sets and Counting

5.1 Sets

5.2 A Fundamental Principle of Counting

5.3 Venn Diagrams and Counting

5.4 The Multiplication Principle

5.5 Permutations and Combinations

5.6 Further Counting Problems

5.7 The Binomial Theorem

5.8 Multinomial Coefficients and Partitions

Chapter Project: Pascal's Triangle

 

Chapter 6  Probability

6.1 Introduction

6.2 Experiments, Outcomes, and Events

6.3 Assignment of Probabilities

6.4 Calculating Probabilities of Events

6.5 Conditional Probability and Independence

6.6 Tree Diagrams

6.7 Bayes' Theorem

6.8 Simulation

Chapter Project: Two Paradoxes

 

Chapter 7  Probability and Statistics

7.1 Representation of Data

7.2 Frequency and Probability Distributions

7.3 Binomial Trials

7.4 The Mean

7.5 The Variance and Standard Deviation

7.6 The Normal Distribution

7.7 Normal Approximation to the Binomial Distribution

Chapter Project: An Unexpected Expected Value

 

Chapter 8  Markov Processes

8.1 The Transition Matrix

8.2 Regular Stochastic Matrices

8.3 Absorbing Stochastic Matrices

Chapter Project: Doubly Stochastic Matrices

 

Chapter 9  The Theory of Games

9.1 Games and Strategies

9.2 Mixed Strategies

9.3 Determining Optimal Mixed Strategies

Chapter Project: Simulating the Outcomes of Mixed-Strategy Games

 

Chapter 10  The Mathematics of Finance

10.1 Interest

10.2 Annuities

10.3 Amortization of Loans

10.4 Personal Financial Decisions

Chapter Project: Two Items of Interest

 

Chapter 11  Difference Equations and Mathematical Models

11.1 Introduction to Difference Equations, I

11.2 Introduction to Difference Equations, II

11.3 Graphing Difference Equations

11.4 Mathematics of Personal Finance

11.5 Modelling with Difference Equations

Chapter Project: Connections to Markov Processes

 

Chapter 12  Logic

12.1 Introduction to Logic

12.2 Truth Tables

12.3 Implication

12.4 Logical Implication and Equivalence

12.5 Valid Argument

12.6 Predicate Calculus

12.7 Logic Circuits

Chapter Project: A Logic Puzzle

 

 Appendix  A  Tables

 

Appendix B  Using the TI-83, TI-83 Plus, and TI-84 Plus Graphing Calculators

 

Appendix C  Spreadsheet Fundamentals

 

Appendix D  Using the TI-89 Graphing Calculators

 

Answers to Odd-Numbered Exercises

 

Solutions to Selected Exercises

 

Index

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  • 9780136055150
    Finite Mathematics and Its Application, CourseSmart eTextbook, 9/E
    Goldstein, Schneider & Siegel
    ©2007 | Prentice Hall | Electronic Book; 736 pp | Instock
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