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Finite Mathematics and Its Application, 9/E
ISBN-10: 0131873644
ISBN-13: 9780131873643
Publisher: Pearson
Copyright: 2007
Format: Cloth; 736 pp
Published: 01/31/2006
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.
This product accompanies:
Goldstein, Schneider & Siegel,
Finite Mathematics & Its Applications, 10/E
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
-
Finite Mathematics & Its Applications, 10/E
Goldstein, Schneider & Siegel
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