A Survey of Mathematics With Applications

by Angel, Allen R.; Porter, Stuart R.

• ISBN13: 9780201846003
• ISBN10: 0201846004
• Edition: 5th
• Format: Hardcover
• Copyright: 1997-06-01
• Publisher: Pearson College Div

Table of Contents

Critical Thinking Skills	2	(42)
Inductive Reasoning	4	(6)
Estimation	10	(11)
Problem Solving	21	(21)
Chapter Summary	34	(1)
Review Exercises	34	(4)
Chapter Test	38	(2)
Group Projects	40	(2)
Sets	42	(44)
Set Concepts	44	(6)
Subsets	50	(6)
Venn Diagrams and Set Operations	56	(7)
Venn Diagrams with Three Sets and Verfication of Equality of Sets	63	(8)
Applications of Sets	71	(6)
Infinite Sets	77	(9)
Chapter Summary	81	(1)
Review Exercises	81	(2)
Chapter Test	83	(1)
Group Projects	84	(2)
Logic	86	(66)
Statements and Logical Connectives	88	(12)
Truth Tables for Negation, Conjunction, and Disjunction	100	(9)
Truth Tables for the Conditional and Biconditional	109	(7)
Equivalent Statements	116	(14)
Symbolic Arguments	130	(7)
Euler Circles and Syllogistic Arguments	137	(15)
Chapter Summary	143	(1)
Review Exercises	144	(3)
Chapter Test	147	(1)
Group Projects	148	(4)
Systems of Numeration	152	(36)
Additive, Multiplicative, and Ciphered Systems of Numeration	154	(6)
Place-Value or Positional-Value Numeration Systems	160	(6)
Other Bases	166	(5)
Computation in Other Bases	171	(8)
Early Computational Methods	179	(9)
Chapter Summary	182	(1)
Review Exercises	183	(2)
Chapter Test	185	(1)
Group Projects	185	(3)
Number Theory & The Real Number System	188	(76)
Number Theory	190	(11)
The Integers	201	(8)
The Rational Numbers	209	(12)
The Irrational Numbers and the Real Number System	221	(6)
Real Numbers and Their Properties	227	(7)
Rules of Exponents and Scientific Notation	234	(9)
Arithmetic and Geometric Sequences	243	(7)
Fibonacci Sequence	250	(14)
Chapter Summary	257	(1)
Review Exercises	258	(3)
Chapter Test	261	(1)
Group Projects	261	(3)
Algebra, Graphs, & Functions	264	(86)
Order of Operations	266	(4)
Linear Equations in One Variable	270	(11)
Formulas	281	(8)
Applications of Linear Equations in One Variable	289	(5)
Variation	294	(8)
Linear Inequalities	302	(5)
Graphing Linear Equations	307	(12)
Linear Inequalities in Two Variables	319	(3)
Solving Quadratic Equations by Using Factoring and by Using the Quadratic Formula	322	(9)
Functions and Their Graphs	331	(19)
Chapter Summary	342	(1)
Review Exercises	343	(4)
Chapter Test	347	(1)
Group Projects	348	(2)
Systems of Linear Equations & Inequalities	350	(46)
Systems of Linear Equations	352	(7)
Solving Systems of Equations by the Substitution and Addition Methods	359	(9)
Matrices	368	(10)
Solving Systems of Equations by Using Matrices	378	(5)
Systems of Linear Inequalities	383	(3)
Linear Programming	386	(10)
Chapter Summary	391	(1)
Review Exercises	392	(2)
Chapter Test	394	(1)
Group Projects	395	(1)
The Metric System	396	(36)
Basic Terms and Conversions within the Metric System	398	(6)
Length, Area, and Volume	404	(9)
Mass and Temperature	413	(6)
Dimensional Analysis and Conversions to and from the Metric System	419	(13)
Chapter Summary	428	(1)
Review Exercises	428	(2)
Chapter Test	430	(1)
Group Projects	431	(1)
Geometry	432	(60)
Point, Lines, Planes, and Angles	434	(9)
Polygons	443	(8)
Perimeter and Area	451	(10)
Volume	461	(9)
Graph Theory	470	(5)
The Mobius Strip, Klein Bottle, and Maps	475	(5)
Non-Euclidean Geometry and Fractal Geometry	480	(12)
Chapter Summary	486	(2)
Review Exercises	488	(2)
Chapter Test	490	(1)
Group Projects	491	(1)
Mathematical Systems	492	(28)
Groups	494	(6)
Finite Mathematical Systems	500	(10)
Modular Arithmetic	510	(10)
Chapter Summary	517	(1)
Review Exercises	517	(1)
Chapter Test	518	(1)
Group Projects	519	(1)
Consumer Mathematics	520	(52)
Percent	522	(8)
Personal Loans and Simple Interest	530	(8)
Compound Interest	538	(7)
Installment Buying	545	(11)
Buying a House with a Mortgage	556	(16)
Chapter Summary	567	(1)
Review Exercises	567	(3)
Chapter Test	570	(1)
Group Projects	571	(1)
Probability	572	(82)
The Nature of Probability	574	(7)
Theoretical Probability	581	(8)
Odds	589	(4)
Expected Value (Expectation)	593	(8)
Tree Diagrams	601	(5)
Or and And Problems	606	(9)
Conditional Probability	615	(5)
The Counting Principle and Permutations	620	(9)
Combinations	629	(6)
Solving Probability Problems by Using Combinations	635	(4)
Binomial Probability Formula	639	(15)
Chapter Summary	646	(1)
Review Exercises	647	(4)
Chapter Test	651	(1)
Group Projects	652	(2)
Statistics	654	(2)
Sampling Techniques	656	(3)
The Misuses of Statistics	659	(4)
Frequency Distributions	663	(5)
Statistical Graphs	668	(8)
Measures of Central Tendency	676	(7)
Measures of Dispersion	683	(7)
The Normal Curve	690	(12)
Linear Correlation and Regression	702
Chapter Summary	714	(12)
Review Exercises	715	(3)
Chapter Test	718	(1)
Group Projects	719
Answers	A-1
Credits	A-51
Index	I-1