9780321867322

Thinking Mathematically

Robert F. Blitzer

6th Edition

This general survey of mathematical topics helps a diverse audience, with different backgrounds and career plans, to understand mathematics. Blitzer provides the applications and technology readers need to gain an appreciation of mathematics in everyday life. Demonstrates how mathematics can be applied to readersâ€™ lives in interesting, enjoyable, and meaningful ways.

2-1

Basic Set Concepts

Concept and Vocabulary Check

p.58

Exercises

p.58

2-2

Subsets

Concept and Vocabulary Check

p.67

Exercises

p.68

2-3

Ven Diagrams and Set Operations

Concept and Vocabulary Check

p.80

Exercises

p.81

2-4

Set Operations and Venn Diagrams with Three Sets

Concept and Vocabulary Check

p.91

Exercises

p.91

2-5

Survey Problems

Concept and Vocabulary Check

p.102

Exercises

p.103

Review Exercises

p.108

Test

p.111

3-1

Statements, Negations, and Quantified Statements

Concept and Vocabulary Check

p.119

Exercises

p.120

3-2

Compound Statements and Connectives

Concept and Vocabulary Check

p.132

Exercises

p.132

3-3

Truth Tables for Negation, Conjunction, and Disjunction

Concept and Vocabulary Check

p.147

Exercises

p.147

3-4

Truth Tables for the Conditional and the Biconditional

Concept and Vocabulary Check

p.159

Exercises

p.159

3-5

Equivalent Statements and Variations of Conditional Statements

Concept and Vocabulary Check

p.169

Exercises

p.170

3-6

Negations of Conditional Statements and De Morgan's Law

Concept and Vocabulary Check

p.177

Exercises

p.178

3-7

Arguments and Truth Tables

Concept and Vocabulary Check

p.190

Exercises

p.190

3-8

Arguments and Euler Diagrams

Concept and Vocabulary Check

p.202

Exercises

p.203

Review Exercises

p.207

Test

p.209

4-1

Our Hindu-Arabic System and Early Positional Systems

Concept and Vocabulary Check

p.218

Exercises

p.218

4-2

Number Bases in Positional Systems

Concept and Vocabulary Check

p.226

Exercises

p.226

4-3

Computation in Positional Systems

Concept and Vocabulary Check

p.233

Exercises

p.235

4-4

Looking Back at Early Numeration Systems

Concept and Vocabulary Check

p.241

Exercises

p.241

Review Exercises

p.244

Test

p.246

5-1

Number Theory: Prime and Composite Numbers

Concept and Vocabulary Check

p.256

Exercises

p.256

5-2

The Integers; Order of Operations

Concept and Vocabulary Check

p.269

Exercises

p.269

5-3

The Rational Numbers

Concept and Vocabulary Check

p.284

Exercises

p.284

5-4

The Irrational Numbers

Concept and Vocabulary Check

p.295

Exercises

p.296

5-5

Real Numbers and Their Properties; Clock Addition

Concept and Vocabulary Check

p.308

Exercises

p.308

5-6

Exponents and Scientific Notation

Concept and Vocabulary Check

p.319

Exercises

p.319

5-7

Arithmetic and Geometric Sequences

Concept and Vocabulary Check

p.329

Exercises

p.329

Review Exercises

p.334

Test

p.337

6-1

Algebraic Expressions and Formulas

Concept and Vocabulary Check

p.347

Exercises

p.347

6-2

Linear Equations in One Variable and Proportions

Concept and Vocabulary Check

p.361

Exercises

p.362

6-3

Applications of Linear Equations

Concept and Vocabulary Check

p.373

Exercises

p.373

6-4

Linear Inequalities in One Variable

Concept and Vocabulary Check

p.383

Exercises

p.384

6-5

Quadratic Equations

Concept and Vocabulary Check

p.399

Exercises

p.399

Review Exercises

p.403

Test

p.405

7-1

Graphing and Functions

Concept and Vocabulary Check

p.417

Exercises

p.418

7-2

Linear Functions and Their Graphs

Concept and Vocabulary Check

p.430

Exercises

p.430

7-3

Systems of Linear Equations in Two Variables

Concept and Vocabulary Check

p.444

Exercises

p.444

7-4

Linear Inequalities in Two Variables

Concept and Vocabulary Check

p.453

Exercises

p.454

7-5

Linear Programming

Concept and Vocabulary Check

p.460

Exercises

p.460

7-6

Modeling Data: Exponential, Logarithmic, and Quadratic Functions

Concept and Vocabulary Check

p.474

Exercises

p.474

Review Exercises

p.480

Test

p.483

8-1

Percent, Sales Tax, and Discounts

Concept and Vocabulary Check

p.495

Exercises

p.495

8-2

Income Tax

Concept and Vocabulary Check

p.506

Exercises

p.506

8-3

Simple Interest

Concept and Vocabulary Check

p.512

Exercises

p.512

8-4

Compound Interest

Concept and Vocabulary Check

p.520

Exercises

p.521

8-5

Annuities, Methods of Saving, and Investments

Concept and Vocabulary Check

p.535

Exercises

p.536

8-6

Cars

Concept and Vocabulary Check

p.546

Exercises

p.546

8-7

The Cost of Home Ownership

Concept and Vocabulary Check

p.555

Exercises

p.555

8-8

Credit Cards

Concept and Vocabulary Check

p.563

Exercises

p.564

Review Exercises

p.569

Test

p.572

10-1

Points, Lines, Planes, and Angles

Concept and Vocabulary Check

p.615

Exercises

p.616

10-2

Triangles

Concept and Vocabulary Check

p.626

Exercises

p.626

10-3

Polygons, Perimeter, and Tessellations

Concept and Vocabulary Check

p.635

Exercises

p.636

10-4

Area and Circumference

Concept and Vocabulary Check

p.646

Exercises

p.646

10-5

Volume and Surface Area

Concept and Vocabulary Check

p.655

Exercises

p.656

10-6

Right Triangle Trigonometry

Concept and Vocabulary Check

p.664

Exercises

p.665

10-7

Beyond Euclidean Geometry

Concept and Vocabulary Check

p.675

Exercises

p.676

Review Exercises

p.680

Test

p.684

11-1

The Fundamental Counting priciple

Concept and Vocabulary Check

p.692

Exercises

p.692

11-2

Permutations

Concept and Vocabulary Check

p.700

Exercises

p.700

11-3

Combinations

Concept and Vocabulary Check

p.707

Exercises

p.707

11-4

Fundamentals of Probability

Concept and Vocabulary Check

p.715

Exercises

p.715

11-5

Probability with the Fundamental Counting Principle, Permutations, and Combinations

Concept and Vocabulary Check

p.723

Exercises

p.723

11-6

Events Involving Not and or; Odds

Concept and Vocabulary Check

p.733

Exercises

p.734

11-7

Events Involving and; Conditional Probability

Concept and Vocabulary Check

p.746

Exercises

p.746

11-8

Expected Value

Concept and Vocabulary Check

p.754

Exercises

p.754

Review Exercises

p.758

Test

p.762

12-1

Sampling, Frequency Distributions, and Graphs

Concept and Vocabulary Check

p.775

Exercises

p.776

12-2

Measures of Central Tendency

Concept and Vocabulary Check

p.791

Exercises

p.791

12-3

Measures of Dispersion

Concept and Vocabulary Check

p.800

Exercises

p.800

12-4

The Normal Distribution

Concept and Vocabulary Check

p.812

Exercises

p.813

12-5

Problem Solving with the Normal Distribution

Concept and Vocabulary Check

p.820

Exercises

p.820

12-6

Scatter Plots, Correlation, and Regression Lines

Concept and Vocabulary Check

p.829

Exercises

p.829

Review Exercises

p.834

Test

p.837

13-1

Voting Methods

Concept and Vocabulary Check

p.849

Exercises

p.849

13-2

Flaws of Voting Methods

Concept and Vocabulary Check

p.860

Exercises

p.860

13-3

Apportionment Methods

Concept and Vocabulary Check

p.874

Exercises

p.874

13-4

Flaws of Apportionment Methods

Concept and Vocabulary Check

p.885

Exercises

p.885

Review Exercises

p.887

Test

p.890

14-1

Graphs, Paths, and Circuits

Concept and Vocabulary Check

p.899

Exercises

p.900

14-2

Euler Paths and Euler Circuits

Concept and Vocabulary Check

p.909

Exercises

p.909

14-3

Hamilton Paths and Hamilton Circuits

Concept and Vocabulary Check

p.921

Exercises

p.921

14-4

Trees

Concept and Vocabulary Check

p.930

Exercises

p.930

Review Exercises

p.935

Test

p.938