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9780201613230

Survey of Mathematics With Applications

by ;
  • ISBN13:

    9780201613230

  • ISBN10:

    0201613239

  • Edition: 6th
  • Format: Paperback
  • Copyright: 2000-07-01
  • Publisher: Pearson College Div
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List Price: $26.67

Summary

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 powerful world of mathematics today-the world of "A Survey of Mathematics with Applications, "Expanded 8e,""

Table of Contents

Critical Thinking Skills
Inductive Reasoning
1(1)
Estimation
2(1)
Problem Solving
3(8)
Review Exercises
6(3)
Chapter Test
9(2)
Sets
Set Concepts
11(1)
Subsets
12(1)
Venn Diagrams and Set Operations
13(2)
Venn Diagrams with Three Sets and Verification of Equality of Sets
15(4)
Application of Sets
19(2)
Infinite Sets
21(6)
Review Exercises
21(3)
Chapter Test
24(3)
Logic
Statements and Logical Connectives
27(1)
Truth Tables for Negation, Conjuction, and Disjunction
28(4)
Truth Tables for the Conditional and Bioconditional
32(3)
Equivalent Statements
35(5)
Symbolic Arguments
40(3)
Eurler Circles and Syllogistic Arguments
43(10)
Review Exercises
45(4)
Chapter Test
49(4)
Systems of Numeration
Additive, Multiplicative, and Ciphered Systems of Numeration
53(2)
Place-Value or Positional-Value Numeration Systems
55(1)
Other Bases
56(3)
Computation in Other Bases
59(2)
Early Computational Methods
61(8)
Review Exercises
63(3)
Chapter Test
66(3)
Number Theory and The Real Number System
Number Theory
69(2)
The Integers
71(1)
The Rational Numbers
72(3)
The Irrational Numbers and the Real Number System
75(2)
Real Numbers and Their Properties
77(1)
Rules of Exponents and Scientific Notation
78(2)
Arithmetic and Geometric Sequences
80(1)
Fibonacci Sequence
81(6)
Review Exercises
82(4)
Chapter Test
86(1)
Algebra, Graphs, and Functions
Order of Operations
87(1)
Linear Equations in One Variable
88(5)
Formulas
93(6)
Applications of Linear Equations in One Variable
99(2)
Variation
101(2)
Linear Inequalities
103(4)
Graphing Linear Equations
107(6)
Linear Inequalities in Two Variables
113(4)
Solving Quadratic Equations By Using Factoring and By Using the Quadratic Formula
117(3)
Functions and Their Graphs
120(23)
Review Exercises
125(13)
Chapter Test
138(5)
Systems of Linear Equations and Inequalities
Systems of Linear Equations
143(3)
Solving Systems of Equations by the Substitution and Addition Methods
146(5)
Matrices
151(4)
Solving Systems of Equations by Using Matrices
155(1)
Systems of Linear Inequalities
156(2)
Linear Programming
158(11)
Review Exercises
160(5)
Chapter Test
165(4)
The Metric System
Basic Terms and Conversions Within the Metric System
169(1)
Length, Area, and Volume
170(1)
Mass and Temperature
171(1)
Dimensional Analysis and Conversions to and from the Metric System
172(7)
Review Exercises
175(2)
Chapter Test
177(2)
Geometry
Points, Lines, Planes, and Angles
179(2)
Polygons
181(3)
Perimeter and Area
184(3)
Volume
187(2)
The Mobius Strip, Klein Bottle, and Maps
189(1)
Non-Euclidean Geometry and Fractal Geometry
189(6)
Review Exercises
191(2)
Chapter Test
193(2)
Mathematical Systems
Groups
195(1)
Finite Mathematical Systems
196(2)
Modular Arithmetic
198(9)
Review Exercises
201(3)
Chapter Test
204(3)
Consumer Mathematics
Percent
207(2)
Personal Loans and Simple Interest
209(3)
Compound Interest
212(2)
Installment Buying
214(3)
Buying a House with a Mortgage
217(10)
Review Exercises
221(3)
Chapter Test
224(3)
Probability
The Nature of Probability
227(1)
Theoretical Probability
228(1)
Odds
229(2)
Expected Value (Expectation)
231(2)
Tree Diagrams
233(7)
``or'' and ``and'' Problems
240(3)
Conditional Probability
243(2)
The Counting Principle and Permutations
245(1)
Combinations
246(2)
Solving Probability Problems Using Combinations
248(3)
Binomial Probability Formula
251(6)
Review Exercises
250(5)
Chapter Test
255(2)
Statistics
Sampling Techniques
257(1)
The Misuses of Statistics
257(2)
Frequency Distributions
259(2)
Statistical Graphs
261(4)
Measures of Central Tendency
265(2)
Measures of Dispersion
267(4)
The Normal Curve
271(2)
Linear Correlation and Regression
273(16)
Review Exercises
280(6)
Chapter Test
286(3)
Graph Theory
Graphs, Paths, and Circuits
289(2)
Euler Paths and Euler Circuits
291(2)
Hamilton Paths and Hamilton Circuits
293(3)
Trees
296(13)
Review Exercises
301(5)
Chapter Test
306(3)
Voting and Apportionment
Voting Systems
309(6)
Flaws of Voting
315(2)
Apportionment Methods
317(4)
Flaws of Apportionment Methods
321(10)
Review Exercises
323(4)
Chapter Test
327(4)
Appendix 331

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