Topics in Contemporary Mathematics

by Bello

• ISBN13: 9780618054602
• ISBN10: 061805460X
• Edition: 7th
• Format: Paperback
• Copyright: 2000-07-31
• Publisher: Brooks Cole

Summary

Topics in Contemporary Mathematics, 8/e, is uniquely designed to help students see math at work in the contemporary world by presenting problem solving in purposeful and meaningful contexts.

Table of Contents

Preface	x
User's Guide	xiv
Sets and Problem Solving	1	(60)
Problem Solving	2	(10)
Sets: A Problem-Solving Tool	12	(10)
Set Operations	22	(9)
Venn Diagrams	31	(8)
The Number of Elements in a Set: A Problem-Solving Tool	39	(10)
Infinite Sets	49	(12)
Summary	54	(1)
Research Questions	55	(1)
Practice Test	56	(2)
Answers to Practice Test	58	(3)
Logic	61	(70)
Statements	62	(10)
Truth Tables: A Problem-Solving Tool	72	(11)
The Conditional and the Biconditional	83	(8)
Variations of the Conditional and Implications	91	(8)
Euler diagrams	99	(7)
Truth Tables and Validity of Arguments	106	(11)
Switching Networks: A Problem-Solving Tool	117	(14)
Summary	123	(1)
Research Questions	124	(1)
Practice Test	125	(2)
Answers to Practice Test	127	(4)
Numeration Systems	131	(46)
Egyptian, Babylonian, and Roman Numeration Systems	132	(10)
The-Hindu-Arbic (Decimal) System	142	(7)
Number Systems with Bases Othr Than 10	149	(9)
Binary Arithemetic	158	(7)
Octal and Hexadecimal Arithmetic	165	(12)
Summary	172	(1)
Research Questions	173	(1)
Practice Test	173	(1)
Answers to Practice Test	174	(3)
Number Theory and the Real Numbers	177	(94)
Number Theory	178	(14)
The Whole Numbers and the Integers	192	(12)
The Rational Numbers	204	(11)
Decimals	215	(14)
Rational Numbers as Decimals: Percents	229	(9)
The Real Numbers	238	(10)
Radicals	248	(7)
Number Sequences	255	(16)
Summary	264	(2)
Research Questions	266	(1)
Practice Test	266	(3)
Answers to Practice Test	269	(2)
Equations, Inequalities, and Problem Solving	271	(68)
Solutions of First-Degree Sentences	272	(15)
Graphs of Algebraic Sentences	287	(6)
Sentences Involving Absolute Values	293	(6)
Quadratic Equations	299	(12)
Modeling and Problem Solving	311	(12)
Ratio, Proportioin, and Variation	323	(16)
Summary	333	(2)
Research Questions	335	(1)
Practice Test	335	(2)
Answers to Practice Test	337	(2)
Functions and Graphs	339	(100)
Graphing Relations and Functions	340
Linear Functions and Reltions	253	(109)
Equations of a Line	362	(14)
Quadratic Functions and Their Graphs	376	(13)
Exponential and Logarithmic functions	389	(14)
Two Linear Equations in Two Variables	403	(9)
Linear inequalities	412	(9)
Linear Programming	421	(18)
Summary	430	(1)
Research Questions	431	(1)
Practive Test	432	(2)
Answers to Practice Test	434	(5)
Geometry	439	(84)
Points, Lines, and Angles	440	(13)
Triangles and Other Polygons	453	(13)
Perimeter and Circumference	466	(7)
Area Measure and the Pythaorean Theorem	473	(12)
Volume and Surfae Area	485	(9)
Networks, Non---Euclidean Geometry, and Topology	494	(12)
Chaos and Fractals	506	(17)
Summary	512	(5)
Research Questions	517	(1)
Practice Test	518	(2)
Answers to Practice Test	520	(3)
Mathematical Systems and Matrices	523	(70)
Matrix Operations	524	(13)
Solving Systems of Liner Equations with Matrices	537	(12)
Clock and Modular Arithmetic	549	(13)
Abstract Mathematical Systems: Groups an Fields	562	(12)
Game Theory	574	(19)
Summary	584	(1)
Research Questions	585	(1)
Practice Test	586	(4)
Answers to Practice Test	590	(3)
Counting Techniques	593	(46)
The Sequential Counting Principle (SCP): A Problem---Solving Tool	594	(13)
Permutations	607	(9)
Combinations	616	(9)
Miscellaneous Counting Methods	625	(14)
Summary	633	(1)
Research Questions	634	(1)
Practice Test	635	(1)
Answers to Practice Test	636	(3)
Probability	639	(64)
Sample Spaces and Probability	640	(11)
Counting Techniques and Probability	651	(10)
Computation of Probabilties	661	(8)
Conditional Probability	669	(8)
Independent Events	677	(10)
Odds and Mathematical Expectation	687	(16)
Summary	698
Research Questions	689	(11)
Practice Test	700	(2)
Answer to Practice Test	702	(1)
Statistics	703	(82)
Sampling and Frequency Distributions	704	(16)
Measures of Central Tendency: The Mean, Median, and Mode	720	(12)
Measures of Dispersion: The Range and Standard Deviation	732	(8)
The Normal Distribution: A Problem-Solving Tool	740	(12)
Statistical Graphs: A Problem-Solving Tool	752	(11)
Making Predictions	763	(10)
Scattergrams and Correlation	773	(12)
Summary	778	(1)
Research Questions	779	(1)
Practice Test	780	(3)
Answers to Practice Test	783	(2)
Your Money and Your Math	785
Interest, Taxes, and Discounts	786	(11)
Credit Cards and Consumer Credit	797	(9)
Annual Percentage Rate (APR) and the Rule of 78	806	(8)
Buying a House	814
Summary	823	(1)
Research Questions	824	(1)
Practice Test	824	(2)
Answers to Practice Test	826
Appendix The Metric System
A.1 Metric Units of Measurement	A1	(1)
A.2 Convert If You Must	A10	(1)
Answers to Odd-Numbered Problems	A17	(1)
Research Bibliography	A62	(1)
Acknowledgments	A64	(1)
Photo Credits	A66	(1)
Index	A67