Finite mathematics : an applied approach

Sullivan/Mizrahi's Finite Mathematics: An Applied Approach 9/e continues its rich tradition of engaging students and demonstrating 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 Ninth Edition also features a new full color design and improved goal-oriented pedagogy to further help student understanding. New Features: * NEW! Full-color design improves clarity and assists student understanding with consistant pedagogical use of color. * More applications using real data enhances student motivation. Many of these applications include source lines, to show how mathematics is used in the real world. * NEW! Conceptual problems ask students to put the concepts and results into their own words. These problems are marked with an icon to make them easier to assign.

Author Notes

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 13c 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.

Abe Mizrahi enjoyed an active career in mathematics before his untimely passing in 2001. He received his doctorate in mathematics from the Illinois Institute of Technology in 1965, and was a Professor of Mathematics at Indiana University Northwest. Dr. Mizrahi was a member of the Mathematics of Association of America, and wrote articles that explored topics in math education and the applications of mathematics to economics. Dr. Mizrahi served on many CUPM committees and was a panel member on the CUPM Committee on Applied mathematics in the Undergraduate Curriculum. Dr. Mizrahi was the recipient of many NSF grants and served as a consultant to a number of businesses and federal agencies.

Chapter 1 Linear Equations	p. 1
1.1 Rectangular Coordinates; Lines	p. 2
1.2 Pairs of Lines	p. 19
1.3 Applications: Prediction; Break-Even Point; Mixture Problems; Economics	p. 26
1.4 Scatter Diagrams; Linear Curve Fitting	p. 35
Chapter Review	p. 42
Chapter 2 Systems of Linear Equations; Matrices	p. 48
2.1 Systems of Linear Equations: Substitution; Elimination	p. 49
2.2 Systems of Linear Equations: Matrix Method	p. 65
2.3 Systems of m Linear Equations Containing n Variables	p. 82
2.4 Matrix Algebra	p. 93
2.5 Multiplication of Matrices	p. 106
2.6 The Inverse of a Matrix	p. 117
2.7 Applications: Leontief Model; Cryptography; Accounting; The Method of Least Squares	p. 128
Chapter Review	p. 150
Chapter 3 Linear Programming: Geometric Approach	p. 158
3.1 Systems of Linear Inequalities	p. 159
3.2 A Geometric Approach to Linear Programming Problems	p. 171
3.3 Applications	p. 179
Chapter Review	p. 186
Chapter 4 Linear Programming: Simplex Method	p. 194
4.1 The Simplex Tableau; Pivoting	p. 195
4.2 The Simplex Method: Solving Maximum Problems in Standard Form	p. 208
4.3 Solving Minimum Problems in Standard Form Using the Duality Principle	p. 228
4.4 The Simplex Method with Mixed Constraints	p. 238
Chapter Review	p. 252
Chapter 5 Finance	p. 261
5.1 Interest	p. 262
5.2 Compound Interest	p. 269
5.3 Annuities; Sinking Funds	p. 279
5.4 Present Value of an Annuity; Amortization	p. 291
5.5 Annuities and Amortization Using Recursive Sequences	p. 301
5.6 Applications: Leasing; Capital Expenditure; Bonds	p. 305
Chapter Review	p. 310
Chapter 6 Sets; Counting Techniques	p. 316
6.1 Sets	p. 317
6.2 The Number of Elements in a Set	p. 326
6.3 The Multiplication Principle	p. 332
6.4 Permutations	p. 336
6.5 Combinations	p. 343
6.6 The Binomial Theorem	p. 351
Chapter Review	p. 357
Chapter 7 Probability	p. 364
7.1 Sample Spaces and the Assignment of Probabilities	p. 365
7.2 Properties of the Probability of an Event	p. 376
7.3 Probability Problems Using Counting Techniques	p. 386
7.4 Conditional Probability	p. 392
7.5 Independent Events	p. 403
Chapter Review	p. 412
Chapter 8 Additional Probability Topics	p. 420
8.1 Bayes' Formula	p. 421
8.2 The Binomial Probability Model	p. 432
8.3 Expected Value	p. 443
8.4 Applications	p. 451
8.5 Random Variables	p. 457
Chapter Review	p. 461
Chapter 9 Statistics	p. 469
9.1 Introduction to Statistics: Data and Sampling	p. 470
9.2 Representing Data Graphically: Bar Graphs; Pie Charts	p. 473
9.3 Organization of Data	p. 480
9.4 Measures of Central Tendency	p. 494
9.5 Measures of Dispersion	p. 504
9.6 The Normal Distribution	p. 514
Chapter Review	p. 525
Chapter 10 Markov Chains; Games	p. 536
10.1 Markov Chains and Transition Matrices	p. 537
10.2 Regular Markov Chains	p. 546
10.3 Absorbing Markov Chains	p. 557
10.4 Two-Person Games	p. 567
10.5 Mixed Strategies	p. 571
10.6 Optimal Strategy in Two-Person Zero-Sum Games with 2 x 2 Matrices	p. 574
Chapter Review	p. 581
Chapter 11 Logic	p. 586
11.1 Propositions	p. 587
11.2 Truth Tables	p. 593
11.3 Implications; The Biconditional Connective; Tautologies	p. 601
11.4 Arguments	p. 607
11.5 Logic Circuits	p. 612
Chapter Review	p. 617
Appendix A Review	p. 622
A.1 Real Numbers	p. 622
A.2 Algebra Review	p. 636
A.3 Exponents and Logarithms	p. 645
A.4 Recursively Defined Sequences; Geometric Sequences	p. 649
Appendix B Using Lindo to Solve Linear Programming Problems	p. 655
Appendix C Graphing Utilities	p. 662
C.1 The Viewing Rectangle	p. 662
C.2 Using a Graphing Utility to Graph Equations	p. 664
C.3 Square Screens	p. 668
C.4 Using a Graphing Utility to Graph Inequalities	p. 669
Answers to Odd-Numbered Problems	p. 1
Photo Credits	p. 1
Index	p. 1

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