Addison-Wesley / Prentice Hall

Mathematics

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Finite Mathematics, 9/E
Margaret L. Lial, American River College
Raymond N. Greenwell, Hofstra University
Nathan P. Ritchey, Youngstown State University

ISBN-10: 0321428293
ISBN-13: 9780321428295

Publisher: Addison-Wesley
Copyright: 2008
Format: Cloth; 744 pp
Published: 10/02/2007

Suggested retail price: $138.67
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Lial, Greenwell, and Ritchey continue their tradition of integrating relevant, realistic applications with current data sources to provide an application-oriented text for students majoring in business, management, economics, or the life or social sciences. The many opportunities for technology use allow for increased visualization and a better understanding of difficult concepts. In addition to MyMathLab®, a complete online course solution, a comprehensive series of video lectures is available for this text.

  • An Algebra Reference chapter begins the text, allowing students to brush up on their algebra skills.
  • Section Opening Questions are thought-provoking questions that are revisited throughout the section, providing helpful context as students read the text.
  • A wide variety of Applications reference real data from articles in newspapers, journals, and books. Examples with recent data help students learn how extensively mathematics is applied, how it relates to the world around them, and how they can use it. Applied exercises are grouped by subject and highlighted for easy identification.
  • Extended Applications appear at the end of all chapters to stimulate student interest and foster in-depth learning. Directions for Group Projects in the Extended Applications provide an opportunity for cooperative learning.
  • Diverse Exercise Sets include exercises from Japan's university entrance exam, showing how math is used in a variety of areas around the world. In addition, there are exercises that require writing and conceptualization in order to promote critical thinking, deeper understanding, and integration of concepts and skills. Connection Exercises, denoted with an icon, integrate topics/concepts from different sections. Technology Exercises, denoted with an icon, explore concepts using a graphing calculator or spreadsheet.
  • Margin Reviews provide immediate review, or refer students to appropriate review sections as needed.
  • Caution boxes warn students of common errors/misconceptions and Note boxes offer additional useful information. Both are highlighted for easy reference.
  • Excel® Spreadsheets are included in examples and exercises where appropriate, allowing students to work problems that closely relate to real-life and business situations.
  • Optional Graphing Calculator Integration: graphing calculator discussions and TI-83/84 Plus screens are used in many examples, but are not essential for understanding the text.
  • MyMathLab® provides a complete online course that is customizable by instructors. This Web-based software includes a wide variety of resources from dynamic multimedia to course management tools. With MyMathLab, instructors can help increase student comprehension and success.

 

  • 30% new or updated exercises in each section keep this text fresh and relevant for today’s students.
  • New! Concept Check exercises in the Chapter reviews help students verify their understanding of important topics.
  • Updated data and applications use real data from current sources.
  • Expanded Chapter Summaries now include important concepts, rules, and formulas, helping students review what they have learned.
  • New! Actuarial Problems from real actuarial science examinations and study guides require students to connect a variety of topics to successfully solve a problem. These challenging problems help students to creatively apply what they have learned.
  • The Chapter on Logic (Ch. 6) has been re-organized to help the material flow better, helping students learn to create logical proofs. Almost all word problems have been changed or updated for this edition.
  • Alternative solutions and aids for finding solutions have been incorporated into this edition based on the authors’ own classroom experience and reviewer suggestions. For example, alternative procedures are provided for finding solutions in Finite Mathematics (see the alternative procedure for calculating probabilities of poker hands in Chapter 8 and the alternative method of finding saddle points in Chapter 11).

Chapter R: Algebra Reference

R-1 Polynomials

R-2 Factoring

R-3 Rational Expressions

R-4 Equations

R-5 Inequalities

R-6 Exponents

R-7 Radicals


Chapter 1: Linear Functions

1-1 Slopes and Equations of Lines

1-2 Linear Functions and Applications

1-3 The Least Squares Line

Chapter Review

Extended Application: Using Extrapolation to Predict Life Expectancy


Chapter 2: Systems of Linear Equations and Matrices

2-1 Solution of Linear Systems by the Echelon Method

2-2 Solution of Linear Systems by the Gauss-Jordan Method

2-3 Addition and Subtraction of Matrices

2-4 Multiplication of Matrices

2-5 Matrix Inverses

2-6 Input-Output Models

Chapter Review

Extended Application: Contagion


Chapter 3: Linear Programming: The Graphical Method

3-1 Graphing Linear Inequalities

3-2 Solving Linear Programming Problems Graphically

3-3 Applications of Linear Programming

Chapter Review


Chapter 4: Linear Programming: The Simplex Method

4-1 Slack Variables and the Pivot

4-2 Maximization Problems

4-3 Minimization Problems; Duality

4-4 Nonstandard Problems

Chapter Review

Extended Application: Using Integer Programming in the Stock-Cutting Problem


Chapter 5: Mathematics of Finance

5-1 Simple and Compound Interest

5-2 Future Value of an Annuity

5-3 Present Value of an Annuity; Amortization

Chapter Review

Extended Application: Time, Money, and Polynomials


Chapter 6: Logic

6-1 Statements

6-2 Truth Tables and Equivalent Statements

6-3 The Conditional and Circuits

6-4 More on the Conditional

6-5 Analyzing Arguments and Proofs

6-6 Analyzing Arguments with Quantifiers

Chapter Review

Extended Application: Logic Puzzles


Chapter 7: Sets and Probability

7-1 Sets

7-2 Applications of Venn Diagrams

7-3 Introduction to Probability

7-4 Basic Concepts of Probability

7-5 Conditional Probability; Independent Events

7-6 Bayes' Theorem

Chapter Review

Extended Application: Medical Diagnosis


Chapter 8: Counting Principles: Further Probability Topics

8-1 The Multiplication Principle; Permutations

8-2 Combinations

8-3 Probability Applications of Counting Principles

8-4 Binomial Probability

8-5 Probability Distributions; Expected Value

Chapter Review

Extended Application: Optimal Inventory for a Service Truck


Chapter 9: Statistics

9-1 Frequency Distributions; Measures of Central Tendency

9-2 Measures of Variation

9-3 The Normal Distribution

9-4 Normal Approximation to the Binomial Distribution

Chapter Review

Extended Application: Statistics in the Law - The Castaneda Decision


Chapter 10: Markov Chains

10-1 Basic Properties of Markov Chains

10-2 Regular Markov Chains

10-3 Absorbing Markov Chains

Chapter Review

Extended Application: A Markov Chain Model for Teacher Retention


Chapter 11: Game Theory

11.1 Strictly Determined Games

11.2 Mixed Strategies

11.3 Game Theory and Linear Programming

Chapter Review

Extended Application: The Prisoner's Dilemma - Non-Zero-Sum Games in Economics


Table

Area under a Normal Curve


Answers to Selected Exercises

Photo Acknowledgements

Index


Special Topics to Accompany Finite Mathematics (TBC)*

Digraphs and Networks

Graphs and Digraphs

Dominance Graphs

Communication Graphs

Networks

Review Exercises


*These supplements will be provided at no additional charge to adopters who request them.

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Take an interactive walk through this book!

Marge Lial was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, is now affiliated with American River College.

 

Marge is an avid reader and traveler. Her travel experiences often find their way into her books as applications, exercise sets, and feature sets. She is particularly interested in archeology. Trips to various digs and ruin sites have produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.

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Raymond N. Greenwell earned a B.A. in Mathematics and Physics from the University of San Diego, and an M.S. in Statistics, an M.S. in Applied Mathematics, and a Ph.D. in Applied Mathematics from Michigan State University, where he earned the graduate student teaching award in 1979. After teaching at Albion College in Michigan for four years, he moved to Hofstra University in1983, where he currently is Professor of Mathematics.

 

Raymond has published articles on fluid mechanics, mathematical biology, genetic algorithms, combinatorics, statistics, and undergraduate mathematics education. He is a member of MAA, AMS, SIAM, NCTM, and AMATYC. He is currently (2002-2005) governor of the Metropolitan New York Section of the MAA, as well as webmaster and liaison coordinator, and he received a distinguished service award from the Section in 2003. He is an outdoor enthusiast and leads trips in the Sierra Club’s Inner City Outings program.

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Nathan P. Ritchey earned a B.A. in Mathematics with a minor in Music from Mansfield University of Pennsylvania. He earned a M.S. in Applied Mathematics and a Ph.D. in Mathematics from Carnegie Mellon University. He is currently a Professor of Mathematics and Chair of the Department of Mathematics and Statistics at Youngstown State University. He has published articles in economics, honors education, medicine, mathematics, operations research, and student recruitment. Nate is a Consultant/Evaluator for the North Central Association's Higher Learning Commission and regularly participates in program evaluations.

In recognition of his numerous activities, Nate has received the Distinguished Professor Award for University Service, the Youngstown Vindicator's "People Who Make a Difference Award," the Watson Merit Award for Department Chairs, the Spirit in Education Award from the SunTex corporation, and the Provost's Merit Award for significant contributions to the Honors Program.

A father of four children, Nate enthusiastically coaches soccer and softball. He also loves music, playing several instruments, and is a tenor in the Shenango Valley Chorale. More information about Nate Ritchey can be found at: http://www.as.ysu.edu/~nate/

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Interactive Walkthrough

For Finite Mathematics


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