9780618054602

Topics in Contemporary Mathematics

by
  • ISBN13:

    9780618054602

  • ISBN10:

    061805460X

  • Edition: 7th
  • Format: Paperback
  • Copyright: 7/31/2000
  • Publisher: Brooks Cole
  • View Upgraded Edition

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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

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