Finite Mathematics: An Applied Approach

by Michael Sullivan

Overview

This solid introduction to finite mathematics is known for clarity and completeness. The text includes a thorough discussion of matrices, linear programming, probability and statistics and is filled with applied examples and exercises. Many exercises are taken directly from CPA, CMA and actuary exams.

Product Details

ISBN-13:	9780470458273
Publisher:	Wiley
Publication date:	09/06/2011
Edition description:	11th ed.
Pages:	864
Product dimensions:	8.30(w) x 10.10(h) x 1.40(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 1	Linear Equations	1
1.1	Rectangular Coordinates; Lines	2
1.2	Pairs of Lines	19
1.3	Applications: Prediction; Break-Even Point; Mixture Problems; Economics	26
1.4	Scatter Diagrams; Linear Curve Fitting	35
	Chapter Review	42
Chapter 2	Systems of Linear Equations; Matrices	48
2.1	Systems of Linear Equations: Substitution; Elimination	49
2.2	Systems of Linear Equations: Matrix Method	65
2.3	Systems of m Linear Equations Containing n Variables	82
2.4	Matrix Algebra	93
2.5	Multiplication of Matrices	106
2.6	The Inverse of a Matrix	117
2.7	Applications: Leontief Model; Cryptography; Accounting; The Method of Least Squares	128
	Chapter Review	150
Chapter 3	Linear Programming: Geometric Approach	158
3.1	Systems of Linear Inequalities	159
3.2	A Geometric Approach to Linear Programming Problems	171
3.3	Applications	179
	Chapter Review	186
Chapter 4	Linear Programming: Simplex Method	194
4.1	The Simplex Tableau; Pivoting	195
4.2	The Simplex Method: Solving Maximum Problems in Standard Form	208
4.3	Solving Minimum Problems in Standard Form Using the Duality Principle	228
4.4	The Simplex Method with Mixed Constraints	238
	Chapter Review	252
Chapter 5	Finance	261
5.1	Interest	262
5.2	Compound Interest	269
5.3	Annuities; Sinking Funds	279
5.4	Present Value of an Annuity; Amortization	291
5.5	Annuities and Amortization Using Recursive Sequences	301
5.6	Applications: Leasing; Capital Expenditure; Bonds	305
	Chapter Review	310
Chapter 6	Sets; Counting Techniques	316
6.1	Sets	317
6.2	The Number of Elements in a Set	326
6.3	The Multiplication Principle	332
6.4	Permutations	336
6.5	Combinations	343
6.6	The Binomial Theorem	351
	Chapter Review	357
Chapter 7	Probability	364
7.1	Sample Spaces and the Assignment of Probabilities	365
7.2	Properties of the Probability of an Event	376
7.3	Probability Problems Using Counting Techniques	386
7.4	Conditional Probability	392
7.5	Independent Events	403
	Chapter Review	412
Chapter 8	Additional Probability Topics	420
8.1	Bayes' Formula	421
8.2	The Binomial Probability Model	432
8.3	Expected Value	443
8.4	Applications	451
8.5	Random Variables	457
	Chapter Review	461
Chapter 9	Statistics	469
9.1	Introduction to Statistics: Data and Sampling	470
9.2	Representing Data Graphically: Bar Graphs; Pie Charts	473
9.3	Organization of Data	480
9.4	Measures of Central Tendency	494
9.5	Measures of Dispersion	504
9.6	The Normal Distribution	514
	Chapter Review	525
Chapter 10	Markov Chains; Games	536
10.1	Markov Chains and Transition Matrices	537
10.2	Regular Markov Chains	546
10.3	Absorbing Markov Chains	557
10.4	Two-Person Games	567
10.5	Mixed Strategies	571
10.6	Optimal Strategy in Two-Person Zero-Sum Games with 2 x 2 Matrices	574
	Chapter Review	581
Chapter 11	Logic	586
11.1	Propositions	587
11.2	Truth Tables	593
11.3	Implications; The Biconditional Connective; Tautologies	601
11.4	Arguments	607
11.5	Logic Circuits	612
	Chapter Review	617
Appendix A	Review	622
A.1	Real Numbers	622
A.2	Algebra Review	636
A.3	Exponents and Logarithms	645
A.4	Recursively Defined Sequences; Geometric Sequences	649
Appendix B	Using Lindo to Solve Linear Programming Problems	655
Appendix C	Graphing Utilities	662
C.1	The Viewing Rectangle	662
C.2	Using a Graphing Utility to Graph Equations	664
C.3	Square Screens	668
C.4	Using a Graphing Utility to Graph Inequalities	669
	Answers to Odd-Numbered Problems	1
	Photo Credits	1
	Index	1

Editorial Reviews

A revised edition of Finite Mathematics with Applications for Business and Social Science (1992). A textbook that presents the mathematics required in business and the social sciences, with emphasis on real-world applications. This edition enlarges the range of applications to include those using a graphing calculator; adds new examples, applied problems, and technology exercises; and includes a new appendix which contains examples of solving linear programming problems using the LINDO software package. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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