Finite Mathematics: An Applied Approach, 8th Edition

by Abe Mizrahi (Indiana Univ. Northwest); Michael Sullivan (Chicago State Univ.)

• ISBN13: 9780471322023
• ISBN10: 0471322024
• Edition: 8th
• Format: Hardcover
• Copyright: 2000-01-01
• Publisher: Wiley

Summary

Making math relevant to the real world The eighth edition lives up to its reputation as a clearly written, comprehensive finite mathematics text. Students will find a greater emphasis on real-world applications from the fields of business and social sciences, making the material relevant to their studies. From the increased use of boxed formulas to informative explanations of examples, Mizrahi and Sullivan make this edition even more accessible to students. Hallmark features * The comprehensive and readable coverage has received praise through seven editions. * The text is flexibly organized. A flowchart in the preface shows instructors how to sequence chapters to meet specific needs. * Well-graded exercise sets at the end of each section help students gain a better understanding of the material. * End-of-chapter study questions for review include true/false and fill-in-the-blank questions with answers. * An abundance of realistic examples are provided that gradually increase in difficulty to develop conceptual understanding. * Mathematical questions from CPA, CMA, and actuary exams show students the relevance of the material. Also available by Mizrahi and Sullivan: Mathematics: an Applied Approach,7/E (0-471-32203-2)

Table of Contents

Part One Linear Algebra	1	(264)
Linear Equations	3	(34)
Rectangular Coordinates; Lines	3	(16)
Parallel and Intersecting Lines	19	(6)
Applications	25	(12)
Chapter Review	33	(4)
Systems of Linear Equations; Matrices	37	(93)
Systems of Linear Equations: Substitution; Elimination	38	(13)
Systems of Linear Equations: Matrix Method	51	(15)
Systems of m Linear Equations Containing n Variables	66	(12)
Matrix Algebra	78	(12)
Multiplication of Matrices	90	(8)
Inverse of a Matrix	98	(10)
Applications: Leontief Model; Cryptography; Accounting; The Method of Least Squares	108	(22)
Chapter Review	126	(4)
Linear Programming: Geometric Approach	130	(36)
Linear Inequalities	130	(12)
A Geometric Approach to Linear Programming Problems	142	(9)
Applications	151	(15)
Chapter Review	159	(7)
Linear Programming: Simplex Method	166	(58)
The Simplex Tableau; Pivoting	167	(12)
The Simplex Method: Solving Maximum Problems in Standard Form	179	(17)
Solving Minimum Problems in Standard Form; The Duality Principle	196	(9)
The Simplex Method with Mixed Constraints	205	(19)
Chapter Review	220	(4)
Finance	224	(41)
Interest	224	(7)
Compound Interest	231	(9)
Annuities; Sinking Funds	240	(9)
Present Value of an Annuity; Amortization	249	(8)
Applications: Leasing; Capital Expenditure; Bonds	257	(8)
Chapter Review	260	(5)
Part Two Probability	265	(234)
Sets; Counting Techniques	267	(49)
Sets	267	(10)
The Number of Elements in a Set	277	(5)
The Multiplication Principle	282	(5)
Permutations	287	(5)
Combinations	292	(7)
More Counting Problems	299	(6)
The Binomial Theorem	305	(11)
Chapter Review	312	(4)
Probability	316	(51)
Sample Spaces and Assignment of Probabilities	317	(11)
Properties of the Probability of an Event	328	(11)
Probability Problems Using Counting Techniques	339	(6)
Conditional Probability	345	(10)
Independent Events	355	(12)
Chapter Review	363	(4)
Additional Probability Topics	367	(44)
Bayes' Formula	367	(12)
The Binomial Probability Model	379	(8)
Expected Value	387	(9)
Applications	396	(6)
Random Variables	402	(9)
Chapter Review	406	(5)
Statistics	411	(43)
Bar Graphs; Pie Charts	412	(6)
Organization of Data	418	(8)
Measures of Central Tendency	426	(7)
Measures of Dispersion	433	(8)
The Normal Distribution	441	(13)
Chapter Review	451	(3)
Markov Chains; Games	454	(45)
Markov Chains and Transition Matrices	454	(9)
Regular Markov Chains	463	(9)
Absorbing Markov Chains	472	(9)
Two-Person Games	481	(4)
Mixed Strategies	485	(3)
Optimal Strategy in Two-Person Zero-Sum Games with 2X2 Matrices	488	(11)
Chapter Review	494	(5)
Part Three Discrete Mathematics	499	(2)
Logic and Logic Circuits	501	(37)
Propositions	502	(6)
Truth Tables	508	(9)
Implications; The Biconditional Connective; Tautologies	517	(7)
Arguments	524	(6)
Logic Circuits	530	(8)
Chapter Review	535	(3)
Relations, Functions, and Induction	538	(28)
Relations	538	(5)
Functions	543	(7)
Sequences	550	(3)
Mathematical Induction	553	(5)
Recurrence Relations	558	(8)
Chapter Review	564	(2)
Graphs and Trees	566	(1)
Graphs	566	(6)
Paths and Connectedness	572	(4)
Eulerian and Hamiltonian Circuits	576	(8)
Trees	584	(8)
Directed Graphs	592	(8)
Matrix Applications to Graphs and Directed Graphs	600	(10)
Chapter Review	610
Appendix A Review Topics from Algebra and Geometry	1	(19)
A.1 Basic Algebra	1	(8)
A.2 Exponents and Logarithms	9	(5)
A.3 Geometric Sequences	14	(6)
Appendix B Using LINDO to Solve Linear Programming Problems	20	(8)
Tables	28
Answers to Odd-Numbered Problems	1	(1)
Index	1