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Survey of Mathematics with Applications, A: Expanded Edition

ISBN: 9780321205650 | 0321205650
Edition: 7th
Format: Hardcover
Publisher: Addison Wesley
Pub. Date: 1/1/2005

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SummaryTable of Contents
This best-selling text balances solid mathematical coverage with a comprehensive overview of mathematical concepts as they relate to varied disciplines. The text provides an appreciation of mathematics, highlighting mathematical history, and applications of math to the arts and sciences. It is an ideal book for students who require a general overview of mathematics, especially those majoring in liberal arts, the social sciences, business, nursing and allied health fields. Let us introduce you to the practical, interesting, accessible, and power... MORE
Critical Thinking Skills
1(40)
Inductive Reasoning
2(6)
Estimation
... MORE(11)
Problem Solving
19(22)
Chapter 1 Summary
35(1)
Chapter 1 Review Exercises
35(3)
Chapter 1 Test
38(1)
Group Projects
39(2)
Sets
41(51)
Set Concepts
42(8)
Subsets
50(6)
Venn Diagrams and Set Operations
56(10)
Venn Diagrams with Three Sets and Verification of Equality of Sets
66(10)
Applications of Sets
76(7)
Infinite Sets
83(9)
Chapter 2 Summary
87(1)
Chapter 2 Review Exercises
87(3)
Chapter 2 Test
90(1)
Group Projects
91(1)
Logic
92(74)
Statements and Logical Connectives
93(13)
Truth Tables for Negation, Conjunction, and Disjunction
106(12)
Truth Tables for the Conditional and Biconditional
118(10)
Equivalent Statements
128(14)
Symbolic Arguments
142(11)
Euler Diagrams and Syllogistic Arguments
153(13)
Chapter 3 Summary
160(1)
Chapter 3 Review Exercises
161(2)
Chapter 3 Test
163(1)
Group Projects
164(2)
Systems of Numeration
166(41)
Additive, Multiplicative, and Ciphered Systems of Numeration
167(8)
Place-Value or Positional-Value Numeration Systems
175(6)
Other Bases
181(7)
Computation in Other Bases
188(10)
Early Computational Methods
198(9)
Chapter 4 Summary
203(1)
Chapter 4 Review Exercises
203(1)
Chapter 4 Test
204(1)
Group Projects
205(2)
Number Theory and the Real Number System
207(80)
Number Theory
208(11)
The Integers
219(9)
The Rational Numbers
228(14)
The Irrational Numbers and the Real Number System
242(7)
Real Numbers and Their Properties
249(7)
Rules of Exponents and Scientific Notation
256(12)
Arithmetic and Geometric Sequences
268(7)
Fibonacci Sequence
275(12)
Chapter 5 Summary
282(1)
Chapter 5 Review Exercises
283(2)
Chapter 5 Test
285(1)
Group Projects
286(1)
Algebra, Graphs, and Functions
287(95)
Order of Operations
288(4)
Linear Equations in One Variable
292(12)
Formulas
304(9)
Applications of Linear Equations in One Variable
313(7)
Variation
320(8)
Linear Inequalities
328(7)
Graphing Linear Equations
335(13)
Linear Inequalities in Two Variables
348(2)
Solving Quadratic Equations by Using Factoring and by Using the Quadratic Formula
350(11)
Functions and Their Graphs
361(21)
Chapter 6 Summary
376(1)
Chapter 6 Review Exercises
376(4)
Chapter 6 Test
380(1)
Group Projects
381(1)
Systems of Linear Equations and Inequalities
382(49)
Systems of Linear Equations
383(8)
Solving Systems of Equations by the Substitution and Addition Methods
391(11)
Matrices
402(10)
Solving Systems of Equations by Using Matrices
412(6)
Systems of Linear Inequalities
418(3)
Linear Programming
421(10)
Chapter 7 Summary
427(1)
Chapter 7 Review Exercises
428(1)
Chapter 7 Test
429(1)
Group Projects
430(1)
The Metric System
431(42)
Basic Terms and Conversions within the Metric System
432(8)
Length, Area, and Volume
440(10)
Mass and Temperature
450(8)
Dimensional Analysis and Conversions to and from the Metric System
458(15)
Chapter 8 Summary
469(1)
Chapter 8 Review Exercises
469(2)
Chapter 8 Test
471(1)
Group Projects
472(1)
Geometry
473(87)
Points, Lines, Planes, and Angles
474(11)
Polygons
485(11)
Perimeter and Area
496(11)
Volume
507(12)
Transformational Geometry, Symmetry, and Tessellations
519(19)
The Mobius Strip, Klein Bottle, and Maps
538(7)
Non-Euclidean Geometry and Fractal Geometry
545(15)
Chapter 9 Summary
553(1)
Chapter 9 Review Exercises
554(3)
Chapter 9 Test
557(2)
Group Projects
559(1)
Mathematical Systems
560(32)
Groups
561(7)
Finite Mathematical Systems
568(11)
Modular Arithmetic
579(13)
Chapter 10 Summary
588(1)
Chapter 10 Review Exercises
589(1)
Chapter 10 Test
590(1)
Group Projects
591(1)
Consumer Mathematics
592(61)
Percent
593(9)
Personal Loans and Simple Interest
602(11)
Compound Interest
613(8)
Installment Buying
621(14)
Buying a House with a Mortgage
635(18)
Chapter 11 Summary
647(1)
Chapter 11 Review Exercises
647(3)
Chapter 11 Test
650(2)
Group Projects
652(1)
Probability
653(98)
The Nature of Probability
654(8)
Theoretical Probability
662(9)
Odds
671(7)
Expected Value (Expectation)
678(9)
Tree Diagrams
687(8)
Or and And Problems
695(12)
Conditional Probability
707(7)
The Counting Principle and Permutations
714(10)
Combinations
724(6)
Solving Probability Problems by Using Combinations
730(6)
Binomial Probability Formula
736(15)
Chapter 12 Summary
744(1)
Chapter 12 Review Exercises
745(3)
Chapter 12 Test
748(2)
Group Projects
750(1)
Statistics
751(75)
Sampling Techniques
752(5)
The Misuses of Statistics
757(4)
Frequency Distributions
761(6)
Statistical Graphs
767(11)
Measures of Central Tendency
778(10)
Measures of Dispersion
788(8)
The Normal Curve
796(12)
Linear Correlation and Regression
808(18)
Chapter 13 Summary
821(1)
Chapter 13 Review Exercises
821(3)
Chapter 13 Test
824(1)
Group Projects
825(1)
Graph Theory
826(52)
Graphs, Paths, and Circuits
827(10)
Euler Paths and Euler Circuits
837(12)
Hamilton Paths and Hamilton Circuits
849(12)
Trees
861(17)
Chapter 14 Summary
872(1)
Chapter 14 Review Exercises
873(3)
Chapter 14 Test
876(1)
Group Projects
877(1)
Voting and Apportionment
878
Voting Methods
879(17)
Flaws of Voting
896(14)
Apportionment Methods
910(17)
Flaws of the Apportionment Methods
927
Chapter 15 Summary
934(1)
Chapter 15 Review Exercises
935(3)
Chapter 15 Test
938(1)
Group Project
939
Answers1(1)
Credits1(1)
Index1

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