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Survey of Mathematics with Applications, A: Expanded Sixth Edition

ISBN: 9780201703085 | 0201703084
Edition: 6th
Format: Hardcover
Publisher: Addison Wesley
Pub. Date: 1/1/2001

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SummaryTable of Contents
This expanded sixth edition of the Angel/Porter text contains two additional chapters, "Graph Theory" and "Voting and Apportionment". This best-selling text balances solid mathematical coverage with a comprehensive overview of mathematical ideas as they relate to varied disciplines. This text provides an appreciation of mathematics, highlighting mathematical history, applications of mathematics to the arts and sciences across cultures and introduces students to the uses of technology in mathematics. It is an ideal book for students who require a general overview of mathematics, especially those majoring in the liberal arts, elementary education, the social sciences, business, nursing and allied health fields.
Critical Thinking Skills
1(37)
Inductive Reasoning
2(6)
Estimation
... MORE(10)
Problem Solving
18(20)
Chapter Summary
32(1)
Review Exercises
32(3)
Chapter Test
35(1)
Group Projects
36(2)
Sets
38(44)
Set Concepts
39(6)
Subsets
45(6)
Venn Diagrams and Set Operations
51(8)
Venn Diagrams with Three Sets and Verification of Equality of Sets
59(8)
Applications of Sets
67(7)
Infinite Sets
74(8)
Chapter Summary
77(1)
Review Exercises
78(1)
Chapter Test
79(1)
Group Projects
80(2)
Logic
82(65)
Statements and Logical Connectives
83(12)
Truth Tables for Negation, Conjunction, and Disjunction
95(11)
Truth Tables for the Conditional and Biconditional
106(8)
Equivalent Statements
114(13)
Symbolic Arguments
127(8)
Euler Diagrams and Syllogistic Arguments
135(12)
Chapter Summary
141(1)
Review Exercises
142(2)
Chapter Test
144(1)
Group Projects
145(2)
Systems of Numeration
147(35)
Additive, Multiplicative, and Ciphered Systems of Numeration
148(6)
Place-Value or Positional-Value Numeration Systems
154(6)
Other Bases
160(5)
Computation in Other Bases
165(9)
Early Computational Methods
174(8)
Chapter Summary
178(1)
Review Exercises
178(2)
Chapter Test
180(1)
Group Projects
180(2)
Number Theory and the Real Number System
182(74)
Number Theory
183(10)
The Integers
193(8)
The Rational Numbers
201(13)
The Irrational Numbers and the Real Number System
214(7)
Real Numbers and Their Properties
221(6)
Rules of Exponents and Scientific Notation
227(10)
Arithmetic and Geometric Sequences
237(8)
Fibonacci Sequence
245(11)
Chapter Summary
251(1)
Review Exercises
252(2)
Chapter Test
254(1)
Group Projects
255(1)
Algebra, Graphs, and Functions
256(89)
Order of Operations
257(4)
Linear Equations in One Variable
261(12)
Formulas
273(8)
Applications of Linear Equations in One Variable
281(5)
Variation
286(8)
Linear Inequalities
294(6)
Graphing Linear Equations
300(14)
Linear Inequalities in Two Variables
314(2)
Solving Quadratic Equations by Using Factoring and by Using the Quadratic Formula
316(9)
Functions and Their Graphs
325(20)
Chapter Summary
339(1)
Review Exercises
339(3)
Chapter Test
342(1)
Group Projects
343(2)
Systems of Linear Equations and Inequalities
345(48)
Systems of Linear Equations
346(8)
Solving Systems of Equations by the Substitution and Addition Methods
354(10)
Matrices
364(10)
Solving Systems of Equations by Using Matrices
374(6)
Systems of Linear Inequalities
380(3)
Linear Programming
383(10)
Chapter Summary
389(1)
Review Exercises
390(1)
Chapter Test
391(1)
Group Projects
392(1)
The Metric System
393(37)
Basic Terms and Conversions within the Metric System
394(7)
Length, Area, and Volume
401(9)
Mass and Temperature
410(7)
Dimensional Analysis and Conversions to and from the Metric System
417(13)
Chapter Summary
426(1)
Review Exercises
426(2)
Chapter Test
428(1)
Group Projects
429(1)
Geometry
430(59)
Points, Lines, Planes, and Angles
431(10)
Polygons
441(9)
Perimeter and Area
450(10)
Volume
460(11)
The Mobius Strip, Klein Bottle, and Maps
471(6)
Non-Euclidean Geometry and Fractal Geometry
477(12)
Chapter Summary
484(1)
Review Exercises
484(2)
Chapter Test
486(1)
Group Projects
487(2)
Mathematical Systems
489(28)
Groups
490(6)
Finite Mathematical Systems
496(10)
Modular Arithmetic
506(11)
Chapter Summary
513(1)
Review Exercises
513(1)
Chapter Test
514(1)
Group Projects
515(2)
Consumer Mathematics
517(58)
Percent
518(9)
Personal Loans and Simple Interest
527(10)
Compound Interest
537(8)
Installment Buying
545(13)
Buying a House with a Mortgage
558(17)
Chapter Summary
569(1)
Review Exercises
570(2)
Chapter Test
572(2)
Group Projects
574(1)
Probability
575(87)
The Nature of Probability
576(8)
Theoretical Probability
584(8)
Odds
592(5)
Expected Value (Expectation)
597(8)
Tree Diagrams
605(7)
Or and And Problems
612(11)
Conditional Probability
623(5)
The Counting Principle and Permutations
628(10)
Combinations
638(5)
Solving Probability Problems by Using Combinations
643(6)
Binomial Probability Formula
649(13)
Chapter Summary
656(1)
Review Exercises
656(4)
Chapter Test
660(1)
Group Projects
661(1)
Statistics
662(69)
Sampling Techniques
663(5)
The Misuses of Statistics
668(4)
Frequency Distributions
672(5)
Statistical Graphs
677(9)
Measures of Central Tendency
686(8)
Measures of Dispersion
694(7)
The Normal Curve
701(12)
Linear Correlation and Regression
713(18)
Chapter Summary
726(1)
Review Exercises
726(3)
Chapter Test
729(1)
Group Projects
730(1)
Graph Theory
731(47)
Graphs, Paths, and Circuits
732(8)
Euler Paths and Euler Circuits
740(12)
Hamilton Paths and Hamilton Circuits
752(10)
Trees
762(16)
Chapter Summary
772(1)
Review Exercises
773(3)
Chapter Test
776(1)
Group Projects
777(1)
Voting and Apportionment
778
Voting Systems
779
Flaws of Voting
795
Apportionment Methods
808
Flaws of the Apportionment Methods
824
Chapter Summary
831
Review Exercises
832
Chapter Test
836
Group Project
837
AnswersA-1
CreditsC-1
IndexI-1

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