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Finite Mathematics,9780321016324
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Finite Mathematics

by Margaret L. Lial; Charles David Miller; Raymond N. Greenwell
ISBN13:

9780321016324

ISBN10:
0321016327
Format:
Hardcover
Pub. Date:
10/1/1997
Publisher(s):
Pearson College Div
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Summary

Widely known for incorporating interesting, relevant, realistic applications, this new edition offers many more real applications citing real data sources. It also allows for increased visualization and discovery through optional use of graphing calculators. A dedicated World Wide Web site rounds out the teaching and learning package, offering projects based on current events, and graphing calculator programs tied to the text.

Table of Contents

Preface ix(6)
Index of Applications xv
CHAPTER R Algebra Reference
R.1 Polynomials
xx(3)
R.2 Factoring
xxiii(2)
R.3 Rational Expressions
xxv(4)
R.4 Equations
xxix(6)
R.5 Inequalities
xxxv(5)
R.6 Exponents
xl(4)
R.7 Radicals
xliv
CHAPTER 1 Linear Functions
2(54)
1.1 Slope and Equations of a Line
2(13)
1.2 Linear Functions
15(12)
1.3 Linear Mathematical Models
27(10)
1.4 Constructing a Mathematical Model
37(12)
Review Exercises
49(3)
Extended Application: Using Marginal Cost to Estimate the Cost of Educating Immigrants
52(1)
Extended Application: Depreciation
53(3)
CHAPTER 2 Systems of Linear Equations and Matrices
56(66)
2.1 Solution of Linear Systems by the Echelon Method
56(10)
2.2 Solution of Linear Systems by the Gauss-Jordan Method
66(13)
2.3 Addition and Subtraction of Matrices
79(8)
2.4 Multiplication of Matrices
87(11)
2.5 Matrix Inverses
98(10)
2.6 Input-Output Models
108(7)
Review Exercises
115(5)
Extended Application: Contagion
120(2)
CHAPTER 3 Linear Programming: The Graphical Method
122(26)
3.1 Graphing Linear Inequalities
122(8)
3.2 Solving Linear Programming Problems Graphically
130(6)
3.3 Applications of Linear Programming
136(8)
Review Exercises
144(4)
CHAPTER 4 Linear Programming: The Simplex Method
148(44)
4.1 Slack Variables and the Pivot
148(8)
4.2 Maximization Problems
156(10)
4.3 Minimization Problems; Duality
166(11)
4.4 Nonstandard Problems
177(9)
Review Exercises
186(1)
Extended Application: A Minimum Cost Balanced Organic Fertilizer Mix
187(5)
CHAPTER 5 Mathematics of Finance
192(36)
5.1 Simple and Compound Interest
192(9)
5.2 Future Value of an Annuity
201(9)
5.3 Present Value of an Annuity; Amoritization
210(9)
A Strategy for Solving Finance Problems
219(1)
Review Exercises
220(4)
Extended Application: Time, Money, and Polynomials
224(4)
CHAPTER 6 Sets and Probability
228(70)
6.1 Sets
228(9)
6.2 Applications of Venn Diagrams
237(9)
6.3 Introduction to Probability
246(8)
6.4 Basic Concepts of Probability
254(11)
6.5 Conditional Probability; Independent Events
265(16)
6.6 Bayes' Theorem
281(7)
Probability Summary
288(1)
Review Exercises
289(6)
Extended Application: Medical Diagnosis
295(3)
CHAPTER 7 Counting Principles; Further Probability Topics
298(52)
7.1 The Multiplication Principle; Permutations
298(8)
7.2 Combinations
306(9)
7.3 Probability Applications of Counting Principles
315(10)
7.4 Binomial Probability
325(7)
7.5 Probability Distributions; Expected Value
332(11)
Review Exercises
343(5)
Extended Application: Optimal Inventory for a Service Truck
348(2)
CHAPTER 8 Statistics
350(42)
8.1 Frequency Distributions; Measures of Central Tendency
350(12)
8.2 Measures of Variation
362(8)
8.3 The Normal Distribution
370(10)
8.4 Normal Approximation to the Binomial Distribution
380(7)
Review Exercises
387(5)
CHAPTER 9 Markov Chains
392(34)
9.1 Basic Properties of Markov Chains
392(9)
9.2 Regular Markov Chains
401(9)
9.3 Absorbing Markov Chains
410(9)
Review Exercises
419(4)
Extended Application: Cavities and Restoration
423(3)
CHAPTER 10 Game Theory
426
10.1 Strictly Determined Games
426(8)
10.2 Mixed Strategies
434(10)
10.3 Game Theory and Linear Programming
444(7)
Review Exercises
451(3)
Extended Application: Decision Making in the Military
454
Table Area Under a Normal Curve
A-1
Answers to Selected Exercises A-3
Index I-1


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