9780201846003

A Survey of Mathematics With Applications

by ;
  • ISBN13:

    9780201846003

  • ISBN10:

    0201846004

  • Edition: 5th
  • Format: Hardcover
  • Copyright: 6/1/1997
  • Publisher: Pearson College Div
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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

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