Finite Mathematics and Its Applications / Edition 6

Finite Mathematics and Its Applications / Edition 6

by Larry J. Goldstein, David I. Schneider, Martha J. Siegel
     
 

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ISBN-10: 0137418779

ISBN-13: 9780137418770

Pub. Date: 08/28/1997

Publisher: Prentice Hall Professional Technical Reference

Product Details

ISBN-13:
9780137418770
Publisher:
Prentice Hall Professional Technical Reference
Publication date:
08/28/1997
Edition description:
Older Edition
Pages:
613
Product dimensions:
8.37(w) x 10.34(h) x 1.23(d)

Table of Contents

Preface ix
1 Linear Equations and Straight Lines
1(50)
1.1 Coordinate Systems and Graphs
1(10)
1.2 Linear Inequalities
11(9)
1.3 The Intersection Point of a Pair of Lines
20(5)
1.4 The Slope of a Straight Line
25(12)
1.5 The Method of Least Squares
37(14)
2 Matrices
51(56)
2.1 Solving Systems of Linear Equations I
52(10)
2.2 Solving Systems of Linear Equations II
62(8)
2.3 Arithmetic Operations on Matrices
70(14)
2.4 The Inverse of a Matrix
84(9)
2.5 The Gauss-Jordan Method for Calculating Inverses
93(6)
2.6 Input-Output Analysis
99(8)
3 Linear Programming, A Geometric Approach
107(30)
3.1 A Linear Programming Problem
108(6)
3.2 Linear Programming I
114(11)
3.3 Linear Programming II
125(12)
4 The Simplex Method
137(52)
4.1 Slack Variables and the Simplex Tableau
138(8)
4.2 The Simplex Method I: Maximum Problems
146(12)
4.3 The Simplex Method II: Minimum Problems
158(8)
4.4 Marginal Analysis and Matrix Formulations of Linear Programming Problems
166(8)
4.5 Duality
174(15)
5 Sets and Counting
189(52)
5.1 Sets
190(6)
5.2 A Fundamental Principle of Counting
196(6)
5.3 Venn Diagrams and Counting
202(6)
5.4 The Multiplication Principle
208(6)
5.5 Permutations and Combinations
214(7)
5.6 Further Counting Problems
221(6)
5.7 The Binomial Theorem
227(5)
5.8 Multinomial Coefficients and Partitions
232(9)
6 Probability
241(64)
6.1 Introduction
242(1)
6.2 Experiments, Outcomes, and Events
243(9)
6.3 Assignment of Probabilities
252(11)
6.4 Calculating Probabilities of Events
263(8)
6.5 Conditional Probability and Independence
271(11)
6.6 Tree Diagrams
282(7)
6.7 Bayes' Theorem
289(6)
6.8 Simulation
295(10)
7 Probability and Statistics
305(62)
7.1 Frequency and Probability Distributions
306(11)
7.2 Binomial Trials
317(6)
7.3 The Mean
323(10)
7.4 The Variance and Standard Deviation
333(11)
7.5 The Normal Distribution
344(14)
7.6 Normal Approximation to the Binomial Distribution
358(9)
8 Markov Processes
367(32)
8.1 The Transition Matrix
368(9)
8.2 Regular Stochastic Matrices
377(9)
8.3 Absorbing Stochastic Matrices
386(13)
9 The Theory of Games
399(26)
9.1 Games and Strategies
400(6)
9.2 Mixed Strategies
406(6)
9.3 Determining Optimal Mixed Strategies
412(13)
10 The Mathematics of Finance
425(32)
10.1 Interest
426(9)
10.2 Annuities
435(10)
10.3 Amortization of Loans
445(12)
11 Difference Equations and Mathematical Models
457(36)
11.1 Introduction to Difference Equations I
458(8)
11.2 Introduction to Difference Equations II
466(5)
11.3 Graphing Difference Equations
471(10)
11.4 Mathematics of Personal Finance
481(5)
11.5 Modeling with Difference Equations
486(7)
12 Logic
493(48)
12.1 Introduction to Logic
494(4)
12.2 Truth Tables
498(8)
12.3 Implication
506(8)
12.4 Logical Implication and Equivalence
514(8)
12.5 Valid Argument
522(6)
12.6 Predicate Calculus
528(13)
13 Graphs
541
13.1 Graphs as Models
542(12)
13.2 Paths and Circuits
554(11)
13.3 Hamiltonian Circuits and Spanning Trees
565(10)
13.4 Directed Graphs
575(18)
13.5 Matrices and Graphs
593
13.6 Trees
604
Appendix A Tables A1
Table 1 Areas under the standard normal curve
A2
Table 2 (1 + i)(n) Compound amount of $1 invested for n interest periods at interest rate i per period
A3
Table 3 1/(1 + i)(n) Present value of $1. Principal that will accumulate to $1 in n interest periods at a compound rate of i per period
A4
Table 4 S(n)(i) Future value of an ordinary annuity of n $1 payments each, immediately after the last payment at compound interest rate of i per period
A5
Table 5 1/S(n)(i) Rent per period for an ordinary annuity of n payments, compounded interest rate i per period, and future value $1
A6
Table 6 a(n)(i) Present value of an ordinary annuity of n payments of $1 one period before the first payment with interest compounded at i per period
A7
Table 7 1/a(n)(i) Rent per period for an ordinary annuity of n payments whose present value is $1 with interest compounded at i% per period A8
Appendix B Using the Tl-82 and Tl-83 Graphing Calculators A9
Answers to Exercises A15
Index I1

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