Finite Mathematics: An Applied Approach / Edition 9

Finite Mathematics: An Applied Approach / Edition 9

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Finite Mathematics: An Applied Approach / Edition 9

Now in its Ninth Edition, this text once again lives up to its reputation as a clearly written, comprehensive finite mathematics book. In an engaging and accessible style, this book demonstrates how mathematics applies to various fields of study. The text is packed with real data and real-life applications to business, economics, social and life sciences. The new edition also features a new full color design and improved goal-oriented pedagogy to further facilitate understanding.

Product Details

ISBN-13: 9780471333517
Publisher: Wiley
Publication date: 12/19/2003
Series: Kathleen Miranda Student Solutions Manual
Edition description: Older Edition
Pages: 496
Product dimensions: 8.30(w) x 10.90(h) x 1.10(d)

About the Author

Michael Sullivan is Professor Emeritus in the Department of Mathematics and Computer Science at Chicago State University where he taught for 35 years before retiring a few years ago. Dr. Sullivan is a member of American Mathematical Society, the Mathematical Association of America, and the American Mathematical Association of Two Year Colleges. He is President of Text and Academic Authors Association and represents that organization on the Authors Coalition of America, Mike has been writing textbooks in mathematics for over 30 years. He currently has 13 books in print: 3 texts with John Wiley & Sons and 10 with Prentice-Hall. Six of these titles are co-authored with his son, Michael Sullivan III. He has four children: Kathleen, who teaches college mathematics; Michael, who teaches college mathematics, Dan who is a Prentice-Hall sales representative, and Colleen, who teaches middle school mathematics. Nine grandchildren round out the family.

Table of Contents

Chapter 1Linear Equations1
1.1Rectangular Coordinates; Lines2
1.2Pairs of Lines19
1.3Applications: Prediction; Break-Even Point; Mixture Problems; Economics26
1.4Scatter Diagrams; Linear Curve Fitting35
Chapter Review42
Chapter 2Systems of Linear Equations; Matrices48
2.1Systems of Linear Equations: Substitution; Elimination49
2.2Systems of Linear Equations: Matrix Method65
2.3Systems of m Linear Equations Containing n Variables82
2.4Matrix Algebra93
2.5Multiplication of Matrices106
2.6The Inverse of a Matrix117
2.7Applications: Leontief Model; Cryptography; Accounting; The Method of Least Squares128
Chapter Review150
Chapter 3Linear Programming: Geometric Approach158
3.1Systems of Linear Inequalities159
3.2A Geometric Approach to Linear Programming Problems171
Chapter Review186
Chapter 4Linear Programming: Simplex Method194
4.1The Simplex Tableau; Pivoting195
4.2The Simplex Method: Solving Maximum Problems in Standard Form208
4.3Solving Minimum Problems in Standard Form Using the Duality Principle228
4.4The Simplex Method with Mixed Constraints238
Chapter Review252
Chapter 5Finance261
5.2Compound Interest269
5.3Annuities; Sinking Funds279
5.4Present Value of an Annuity; Amortization291
5.5Annuities and Amortization Using Recursive Sequences301
5.6Applications: Leasing; Capital Expenditure; Bonds305
Chapter Review310
Chapter 6Sets; Counting Techniques316
6.2The Number of Elements in a Set326
6.3The Multiplication Principle332
6.6The Binomial Theorem351
Chapter Review357
Chapter 7Probability364
7.1Sample Spaces and the Assignment of Probabilities365
7.2Properties of the Probability of an Event376
7.3Probability Problems Using Counting Techniques386
7.4Conditional Probability392
7.5Independent Events403
Chapter Review412
Chapter 8Additional Probability Topics420
8.1Bayes' Formula421
8.2The Binomial Probability Model432
8.3Expected Value443
8.5Random Variables457
Chapter Review461
Chapter 9Statistics469
9.1Introduction to Statistics: Data and Sampling470
9.2Representing Data Graphically: Bar Graphs; Pie Charts473
9.3Organization of Data480
9.4Measures of Central Tendency494
9.5Measures of Dispersion504
9.6The Normal Distribution514
Chapter Review525
Chapter 10Markov Chains; Games536
10.1Markov Chains and Transition Matrices537
10.2Regular Markov Chains546
10.3Absorbing Markov Chains557
10.4Two-Person Games567
10.5Mixed Strategies571
10.6Optimal Strategy in Two-Person Zero-Sum Games with 2 x 2 Matrices574
Chapter Review581
Chapter 11Logic586
11.2Truth Tables593
11.3Implications; The Biconditional Connective; Tautologies601
11.5Logic Circuits612
Chapter Review617
Appendix AReview622
A.1Real Numbers622
A.2Algebra Review636
A.3Exponents and Logarithms645
A.4Recursively Defined Sequences; Geometric Sequences649
Appendix BUsing Lindo to Solve Linear Programming Problems655
Appendix CGraphing Utilities662
C.1The Viewing Rectangle662
C.2Using a Graphing Utility to Graph Equations664
C.3Square Screens668
C.4Using a Graphing Utility to Graph Inequalities669
Answers to Odd-Numbered Problems1
Photo Credits1

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