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Thinking Mathematically,9780139488450

Thinking Mathematically

by
ISBN13:

9780139488450

ISBN10:
0139488456
Media:
Hardcover
Pub. Date:
1/1/2000
Publisher(s):
Prentice Hall
List Price: $100.00

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Summary

This highly anticipated first edition achieves the difficult balance between coverage and motivation while helping students develop strong problem-solving skills. Blitzer's examples, problems and applications foster both an appreciation and understanding of mathematics encouraging students to take the math a step further into their everyday lives. Blitzer's use of current data and examples drawn from real life are used to develop key mathematical concepts, as well as reduce math anxiety in students.

Table of Contents

About the Author x
To the Student xi
To the Instructor xii
Acknowledgments xiii
Applications Index xxi
Problem Solving and Critical Thinking
2(30)
Inductive and Deductive Reasoning
4(7)
Estimation and Graphs
11(8)
Problem Solving
19(13)
Summary
28(1)
Review Exercises
28(2)
Chapter 1 Test
30(2)
Set Theory
32(42)
Basic Set Concepts
34(9)
Venn Diagrams and Subsets
43(10)
Venn Diagrams and Set Operations
53(5)
Set Operations and Venn Diagrams with Three Sets
58(7)
Surveys and Cardinal Numbers
65(9)
Summary
71(1)
Review Exercises
72(1)
Chapter 2 Test
73(1)
Logic
74(72)
Statements, Negations, and Quantified Statements
76(6)
Compound Statements and Connectives
82(9)
Truth Tables for Negation, Conjunction, and Disjunction
91(12)
Truth Tables for the Conditional and Biconditional
103(10)
Equivalent Statements, Conditional Statements, and De Morgan's Laws
113(10)
Arguments and Truth Tables
123(10)
Arguments and Euler Diagrams
133(13)
Summary
141(2)
Review Exercises
143(1)
Chapter 3 Test
144(2)
Number Representation and Calculation
146(30)
Our Hindu-Arabic System and Early Positional Systems
148(7)
Number Bases in Positional Systems
155(6)
Computation in Positional Systems
161(6)
Looking Back at Early Numeration Systems
167(9)
Summary
172(1)
Review Exercises
173(2)
Chapter 4 Test
175(1)
Number Theory and the Real Number System
176(66)
Number Theory: Prime and Composite Numbers
178(9)
The Integers; Order of Operations
187(10)
The Rational Numbers
197(9)
The Irrational Numbers
206(8)
Real Numbers and Their Properties
214(6)
Exponents and Scientific Notation
220(9)
Arithmetic and Geometric Sequences
229(13)
Summary
237(2)
Review Exercises
239(2)
Chapter 5 Test
241(1)
Algebra: Equations and Inequalities
242(64)
Algebraic Expressions and Formulas
244(9)
Solving Linear Equations
253(11)
Applications of Linear Equations
264(8)
Ratio, Proportion, and Variation
272(11)
Solving Linear Inequalities
283(7)
Solving Quadratic Equations
290(16)
Summary
302(1)
Review Exercises
303(2)
Chapter 6 Test
305(1)
Algebra: Graphs, Functions, and Linear Systems
306(64)
Graphing and Functions
308(11)
Linear Functions and Their Graphs
319(8)
Quadratic Functions and Their Graphs
327(10)
Exponential Functions
337(5)
Systems of Linear Equations
342(13)
Linear Inequalities in Two Variables
355(5)
Linear Programming
360(10)
Summary
366(1)
Review Exercises
367(2)
Chapter 7 Test
369(1)
Consumer Mathematics and Financial Management
370(54)
Percent
372(9)
Interest
381(9)
Installment Buying
390(11)
The Cost of Home Ownership
401(8)
Investing in Stocks, Bonds, and Mutual Funds
409(15)
Summary
419(1)
Review Exercises
420(3)
Chapter 8 Test
423(1)
Measurement
424(28)
Measuring Length; The Metric System
426(9)
Measuring Area and Volume
435(8)
Measuring Weight and Temperature
443(9)
Summary
449(1)
Review Exercises
450(1)
Chapter 9 Test
451(1)
Geometry
452(70)
Points, Lines, Planes, and Angles
454(8)
Triangles
462(9)
Polygons, Quadrilaterals, and Perimeter
471(6)
Area and Circumference
477(9)
Volume
486(7)
Right Triangle Trigonometry
493(11)
Beyond Euclidean Geometry
504(18)
Summary
514(1)
Review Exercises
515(5)
Chapter 10 Test
520(2)
Counting Methods and Probability Theory
522(68)
The Fundamental Counting Principle
524(6)
Permutations
530(7)
Combinations
537(6)
Fundamentals of Probability
543(8)
Probability with the Fundamental Counting Principle, Permutations, and Combinations
551(6)
Events Involving Not and Or; Odds
557(11)
Events Involving And; Conditional Probability
568(9)
Expected Value
577(13)
Summary
584(1)
Review Exercises
585(4)
Chapter 11 Test
589(1)
Statistics
590(72)
Sampling, Frequency Distributions, and Graphs
592(13)
Measures of Central Tendency
605(13)
Measures of Dispersion
618(8)
The Normal Distribution
626(16)
Scatter Plots, Correlation, and Regression Lines
642(20)
Summary
655(1)
Review Exercises
656(4)
Chapter 12 Test
660(2)
Mathematical Systems
662(23)
Mathematical Systems
664(9)
Rotational Symmetry, Groups, and Clock Arithmetic
673(12)
Summary
683(1)
Review Exercises
683(2)
Chapter 13 Test
685
Answers to Selected Exercises AA1
Subject Index I-1
Photo Credits P-1


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