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Thinking Mathematically, Expanded Edition,9780130499110
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Thinking Mathematically, Expanded Edition

by
Edition:
2nd
ISBN13:

9780130499110

ISBN10:
0130499110
Format:
Paperback
Pub. Date:
1/1/2003
Publisher(s):
PRENTICE HALL
List Price: $103.00
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Summary

Provides readers with the skill building and practice that is so crucial as well as the applications and technology necessary to foster an appreciation of the myriad uses of mathematics. For anyone interested in refreshing his/her fundamental math skills. Softcover.

Author Biography

Bob Blitzer has taught a variety of mathematics courses at Miami-Dade Community College for nearly 30 years

Table of Contents

About the Author x
Preface xi
To the Student xiii
Acknowledgments xv
Resources xxii
Applications Index xxiii
Problem Solving and Critical Thinking
3(38)
Inductive and Deductive Reasoning
4(9)
Estimation and Graphs
13(11)
Problem Solving
24(17)
Summary
36(1)
Review Exercises
36(2)
Chapter 1 Test
38(3)
Set Theory
41(50)
Basic Set Concepts
42(11)
Venn Diagrams and Subsets
53(11)
Venn Diagrams and Set Operations
64(7)
Set Operations and Venn Diagrams with Three Sets
71(8)
Surveys and Cardinal Numbers
79(12)
Summary
87(1)
Review Exercises
88(2)
Chapter 2 Test
90(1)
Logic
91(78)
Statements, Negations, and Quantified Statements
92(6)
Compound Statements and Connectives
98(11)
Truth Tables for Negation, Conjunction, and Disjunction
109(13)
Truth Tables for the Conditional and Biconditional
122(11)
Equivalent Statements, Conditional Statements, and De Morgan's Laws
133(11)
Arguments and Truth Tables
144(11)
Arguments and Euler Diagrams
155(14)
Summary
164(1)
Review Exercises
165(2)
Chapter 3 Test
167(2)
Number Representation and Calculation
169(34)
Our Hindu-Arabic System and Early Positional Systems
170(7)
Number Bases in Positional Systems
177(7)
Computation in Positional Systems
184(7)
Looking Back at Early Numeration Systems
191(12)
Summary
198(1)
Review Exercises
198(2)
Chapter 4 Test
200(3)
Number Theory and the Real Number System
203(72)
Number Theory: Prime and Composite Numbers
204(9)
The Integers; Order of Operations
213(11)
The Rational Numbers
224(11)
The Irrational Numbers
235(9)
Real Numbers and Their Properties
244(6)
Exponents and Scientific Notation
250(11)
Arithmetic and Geometric Sequences
261(14)
Summary
269(2)
Review Exercises
271(3)
Chapter 5 Test
274(1)
Algebra: Equations and Inequalities
275(70)
Algebraic Expressions and Formulas
276(10)
Solving Linear Equations
286(12)
Applications of Linear Equations
298(9)
Ratio, Proportion, and Variation
307(11)
Solving Linear Inequalities
318(9)
Solving Quadratic Equations
327(18)
Summary
339(1)
Review Exercises
340(3)
Chapter 6 Test
343(2)
Algebra: Graphs, Functions, and Linear Systems
345(74)
Graphing and Functions
346(11)
Linear Functions and Their Graphs
357(10)
Quadratic Functions and Their Graphs
367(11)
Exponential Functions
378(6)
Systems of Linear Equations
384(14)
Linear Inequalities in Two Variables
398(8)
Linear Programming
406(13)
Summary
413(1)
Review Exercises
414(3)
Chapter 7 Test
417(2)
Consumer Mathematics and Financial Management
419(58)
Percent
420(10)
Interest
430(11)
Installment Buying
441(12)
The Cost of Home Ownership
453(9)
Investing in Stocks, Bonds, and Mutual Funds
462(15)
Summary
472(1)
Review Exercises
473(2)
Chapter 8 Test
475(2)
Measurement
477(28)
Measuring Length; The Metric System
478(10)
Measuring Area and Volume
488(8)
Measuring Weight and Temperature
496(9)
Summary
502(1)
Review Exercises
503(1)
Chapter 9 Test
504(1)
Geometry
505(74)
Points, Lines, Planes, and Angles
506(9)
Triangles
515(11)
Polygons, Quadrilaterals, and Perimeter
526(6)
Area and Circumference
532(11)
Volume
543(9)
Right Triangle Trigonometry
552(9)
Beyond Euclidian Geometry
561(18)
Summary
571(1)
Review Exercises
572(4)
Chapter 10 Test
576(3)
Counting Methods and Probability Theory
579(76)
The Fundamental Counting Principle
578(8)
Permutations
586(8)
Combinations
594(7)
Fundamentals of Probability
601(10)
Probability with the Fundamental Counting Principle, Permutations, and Combinations
611(6)
Events Involving Not and Or; Odds
617(11)
Events Involving And; Conditional Probability
628(12)
Expected Values
640(15)
Summary
649(1)
Review Exercises
650(3)
Chapter 11 Test
653(2)
Statistics
655(76)
Sampling, Frequency Distributions, and Graphs
656(14)
Measures of Central Tendency
670(15)
Measures of Dispersion
685(8)
The Normal Distribution
693(17)
Scatter Plots, Correlation, and Regression Lines
710(21)
Summary
723(1)
Review Exercises
724(4)
Chapter 12 Test
728(3)
Mathematical Systems
731(26)
Mathematical Systems
732(10)
Rotational Symmetry, Groups, and Clock Arithmetic
742(15)
Summary
753(1)
Review Exercises
754(1)
Chapter 13 Test
755(2)
Voting and Apportionment
757(58)
Voting Methods
758(13)
Flaws of Voting Methods
771(13)
Apportionment Methods
784(15)
Flaws of Apportionment Methods
799(16)
Summary
810(1)
Review Exercises
810(3)
Chapter 14 Test
813(2)
Graph Theory
815
Graphs, Paths, and Circuits
816(12)
Euler Paths and Euler Circuits
828(12)
Hamilton Paths and Hamilton Circuits
840(12)
Trees
852
Summary
863(1)
Review Exercises
864(4)
Chapter 15 Test
868
Answers to Selected Exercises 1(1)
Subject Index 1(1)
Photo Credits 1


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