Schaum's Outline of Beginning Finite Mathematics

by Lipschutz, Seymour; Schiller, John; Srinivasan, R. Alu

• ISBN13: 9780071388979
• ISBN10: 0071388974
• Edition: 1st
• Format: Paperback
• Copyright: 2004-09-22
• Publisher: McGraw-Hill

Summary

Most colleges and universities now require their non-science majors to take a one- or two-semester course in mathematics. Taken by 300,000 students annually, finite mathematics is the most popular. Updated and revised to match the structures and syllabuses of contemporary course offerings, Schaum's Outline of Beginning Finite Mathematics provides a thorough review-- with worked examples--of the fundamentals of linear equations and linear growth. Topics covered include games theory, descriptive statistics, normal distribution, probability, binomial distribution, and voting systems and apportionment.

Author Biography

Seymour Lipschutz, Ph.D., John Schiller, Ph.D., and Alu Srinivasan, Ph.D. are on the mathematics faculty at Temple University.

Table of Contents

Linear Equations and Linear Growth	1	(29)
Introduction; Real Line R	1	(2)
Cartesian Plane R2	3	(2)
Linear Equations in One Unknown	5	(1)
Linear Equations in Two Unknowns and Their Graphs	6	(1)
Slope of a Line	7	(2)
Linear Functions and Linear Growth	9	(2)
Lines and Their Equations; Point-Slope Formula	11	(1)
General Equations and Curves; Functions	12	(18)
Exponential Growth	30	(17)
Introduction: Linear vs. Exponential Change	30	(1)
Exponential Growth	31	(1)
Logarithms	31	(1)
Doubling Time	32	(1)
Exponential Decay	33	(1)
Half-Life	34	(1)
Growth and Decay in Terms of Natural Base	34	(2)
Doubling Time and Half-Life in Terms of Natural Base	36	(1)
Summary	36	(1)
Comment on Exact Equations, Approximate Mathematical Models, and Numerical Accuracy	37	(10)
Financial Mathematics	47	(23)
Simple Interest	47	(1)
Simple Discount	48	(1)
Compound Interest	49	(2)
Continuous Interest	51	(1)
Effective Rate of Interest	52	(1)
Introduction to Annuities	53	(1)
Sinking Funds and Future Value	53	(1)
Amortization and Present Value	54	(16)
Set Theory	70	(23)
Introduction	70	(1)
Sets and Elements; Subsets	70	(2)
Venn Diagrams	72	(1)
Set Operations	72	(3)
Finite Sets; Counting Principle	75	(1)
Product Sets	76	(1)
Classes of Sets; Powers Sets and Partitions	77	(1)
Mathematical Induction (Optional)	78	(1)
Arguments and Venn Diagrams (Optional)	79	(14)
Techniques of Counting	93	(17)
Introduction	93	(1)
Basic Counting Principles	93	(1)
Mathematical Functions	94	(2)
Permutations	96	(1)
Combinations	97	(1)
Tree Diagrams	98	(12)
Probability Theory	110	(44)
Introduction	110	(1)
Sample Space and Events	110	(1)
Finite Probability Spaces	111	(2)
Conditional Probability	113	(3)
Independent Events	116	(1)
Independent Repeated Trials; Binomial Distribution	117	(2)
Random Variables	119	(4)
Joint Distributions and Independent Random Variables	123	(1)
Normal Distribution	123	(4)
Normal Approximation of the Binomial Distribution	127	(27)
Descriptive Statistics	154	(40)
Introduction; The Nature of Statistics	154	(1)
Gathering Data; Random Samples	154	(2)
Displaying Data; Frequency Histograms	156	(4)
Measures of Central Tendency; Sample Mean and Median	160	(2)
Measures of Dispersion; Sample Variance and Standard Deviation	162	(4)
Measures of Position; Quartiles and Percentiles	166	(1)
Bivariate Data, Scatterplots, and Linear Regression	167	(27)
Inferential Statistics	194	(24)
Sampling Distributions	194	(3)
The Central Limit Theorem	197	(1)
Confidence Intervals for Population Means	198	(5)
Chi-Square Test for Goodness of Fit	203	(15)
Graphs and Networks	218	(32)
Introduction	218	(1)
Euler Circuits	219	(2)
The Letter Carrier Problem	221	(1)
Hamiltonian Circuits	222	(1)
Complete Graphs	223	(1)
Traveling Salesperson Problem	224	(2)
Directed Graphs	226	(1)
Trees	227	(1)
Spanning Trees	228	(22)
Voting Systems	250	(19)
Introduction	250	(1)
Elections with Two Candidates	250	(1)
Single-Vote Plurality System with Three or More Candidates	251	(1)
Voting Systems with Preference List Ballots and More Than Two Candidates	251	(18)
Geometry	269	(32)
Introduction	269	(1)
Basic Objects of Plane Geometry	269	(3)
Angle Measurement	272	(2)
Planar Figures	274	(3)
Euclid's Postulates: The Development of Plane Geometry	277	(1)
Pythagorean Theorem	278	(1)
Non-Euclidean Geometry	279	(2)
Units of Measurement and Formulas for Reference	281	(20)
Linear Inequalities and Linear Programming	301	(12)
Introduction	301	(1)
Linear Inequalities in the Plane	301	(1)
Systems of Linear Inequalities and Corner Points	302	(1)
Applications of Systems of Linear Inequalities	303	(2)
A Maximum Linear Programming Problem	305	(1)
A Minimum Linear Programming Problem	305	(8)
Appendix A Tables	313	(14)
Appendix B Standard Normal Curve Areas	327	(2)
Appendix C Apportionment	329	(14)
Index	343