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Thinking Mathematically, Expanded Edition

by: Blitzer, Robert F.

Thinking Mathematically, Expanded Edition

by: Blitzer, Robert F.

ISBN 13:
9780130499110
ISBN 10:
0130499110
Edition: 2nd
Format: Paperback
Copyright: 01/01/2003
Publisher: Pearson College Div
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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.

About the Author

Preface

To the Student

xiii

Acknowledgments

Resources

xxii

Applications Index

xxiii

Problem Solving and Critical Thinking

(38)

Inductive and Deductive Reasoning

(9)

Estimation and Graphs

(11)

Problem Solving

(17)

Summary

(1)

Review Exercises

(2)

Chapter 1 Test

(3)

Set Theory

(50)

Basic Set Concepts

(11)

Venn Diagrams and Subsets

(11)

Venn Diagrams and Set Operations

(7)

Set Operations and Venn Diagrams with Three Sets

(8)

Surveys and Cardinal Numbers

(12)

Summary

(1)

Review Exercises

(2)

Chapter 2 Test

(1)

Logic

(78)

Statements, Negations, and Quantified Statements

(6)

Compound Statements and Connectives

(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)

Subject Index

(1)

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Amazon no longer offers textbook rentals. We do!

Thinking Mathematically, Expanded Edition

Thinking Mathematically, Expanded Edition

9780130499110

0130499110

Summary

Author Biography

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

Thinking Mathematically, Expanded Edition

Thinking Mathematically, Expanded Edition

9780130499110

0130499110

Summary

Author Biography

Table of Contents

Supplemental Materials

Write a Review

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