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The Mathematical Palette (with BCA/iLrn™ Tutorial and InfoTrac) book cover, ISBN 9780534403652

The Mathematical Palette (with BCA/iLrn™ Tutorial and InfoTrac)

by Staszkow, Ronald; Bradshaw, Robert

ISBN13: 9780534403652
ISBN10: 0534403654
Additional ISBN(s): 9780030008979, 9780495108276
Edition: 3rd
Format: Hardcover
Copyright: 2004-01-16
Publisher: Brooks Cole
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Summary

Be successful in math with THE MATHEMATICAL PALETTE! Written with you in mind, the authors make mathematics enjoyable, relevant, understandable, and informative. Visually engaging, the text features full color pictures of fine art to bring mathematical concepts to life. Everyday applications are included to illustrate the evolution and practicality of math and parallel the creativity of liberal arts majors. Prepare for exams with numerous resources located online and throughout the text such as live online tutoring, tutorials, a book companion website, chapter-ending summaries, reviews, tests, and accurate answer sections.

Table of Contents

Preface

xi

chapter 1 Numbers-Old and New

OVERVIEW

2

(1)

A SHORT HISTORY OF NUMBERS AND NUMERALS

2

(2)

PROJECTS

4

(44)

1.1 Ancient Systems of Numeration

6

(11)

1.2 The Hindu-Arabic System and Fractions

17

(6)

1.3 Numeration Systems with Other Bases

23

(8)

1.4 The Numbers of Technology

31

(8)

1.5 Types of Numbers

39

(9)

Summary

48

(2)

Review

50

(1)

Test

51

(3)

chapter 2 Logical Thinking

OVERVIEW

54

(1)

A SHORT HISTORY OF LOGIC

54

(1)

PROJECTS

55

(48)

2.1 Logic, Statements, and Definitions

56

(8)

2.2 Inductive and Deductive Reasoning

64

(10)

2.3 Symbolic Logic and Truth Tables

74

(11)

2.4 Logic and Flowcharts

85

(8)

2.5 Logic and Puzzles

93

(10)

Summary

103

(2)

Review

105

(1)

Test

106

(4)

chapter 3 Sets and Counting

OVERVIEW

110

(1)

A SHORT HISTORY OF SETS

110

(2)

PROJECTS

112

(34)

3.1 Sets: Finite and Infinite

113

(8)

3.2 Set Operations and Venn Diagrams

121

(7)

3.3 Applications of Sets

128

(7)

3.4 Introduction to Counting

135

(11)

Summary

146

(1)

Review

147

(2)

Test

149

(3)

chapter 4 Probability

OVERVIEW

152

(1)

A SHORT HISTORY OF PROBABILITY

152

(2)

PROJECTS

154

(51)

4.1 Intuitive Concepts of Probability

155

(8)

4.2 Calculating Probabilities

163

(9)

4.3 Probability and Odds

172

(4)

4.4 Probability of Compound Events

176

(11)

4.5 Conditional Probability

187

(8)

4.6 Expected Value

195

(10)

Summary

205

(2)

Review

207

(2)

Test

209

(3)

chapter 5 Statistics and the Consumer

OVERVIEW

212

(1)

A SHORT HISTORY OF STATISTICS

212

(1)

PROJECTS

213

(61)

5.1 Arranging Information

215

(11)

5.2 Measures of Central Tendency

226

(10)

5.3 Measures of Dispersion

236

(9)

5.4 The Normal Distribution

245

(12)

5.5 Polls and the Margin of Error

257

(7)

5.6 Regression and Forecasting

264

(10)

Summary

274

(1)

Review

275

(2)

Test

277

(3)

chapter 6 Modeling with Algebra

OVERVIEW

280

(1)

A SHORT HISTORY OF ALGEBRA

280

(2)

PROJECTS

282

(44)

6.1 Linear Models

284

(10)

6.2 Quadratic Models

294

(10)

6.3 Exponential Models

304

(12)

6.4 Logarithmic Models

316

(10)

Summary

326

(1)

Review

327

(2)

Test

329

(5)

chapter 7 Geometry and Art

OVERVIEW

334

(1)

A SHORT HISTORY OF GEOMETRY

334

(3)

PROJECTS

337

(80)

7.1 Euclidean and Non-Euclidean Geometry

338

(13)

7.2 Perspective

351

(17)

7.3 Golden Ratios and Rectangles

368

(10)

7.4 Polygons and Stars

378

(12)

7.5 Tessellations

390

(12)

7.6 Fractals

402

(15)

Summary

417

(2)

Review

419

(2)

Test

421

(3)

chapter 8 Trigonometry: A Door to the Unmeasurable

OVERVIEW

424

(1)

A SHORT HISTORY OF TRIGONOMETRY

424

(2)

PROJECTS

426

(47)

8.1 Right Triangles, Sine, Cosine, Tangent

427

(7)

8.2 Solving Right Triangles

434

(7)

8.3 Right Triangle Applications

441

(8)

8.4 The Laws of Sines and Cosines

449

(9)

8.5 Acute Triangle Applications

458

(9)

8.6 The Motion of a Projectile

467

(6)

Summary

473

(2)

Review

475

(2)

Test

477

(3)

chapter 9 Finance Matters

OVERVIEW

480

(1)

A SHORT HISTORY OF INTEREST

480

(2)

PROJECTS

482

(38)

9.1 Percents

484

(8)

9.2 Simple Interest

492

(5)

9.3 Compound Interest

497

(9)

9.4 Annuities

506

(5)

9.5 Loans

511

(9)

Summary

520

(1)

Review

521

(2)

Test

523

(3)

chapter 10 Math from Other Vistas

OVERVIEW

526

(1)

10.1 Differential Calculus

527

(12)

10.2 Integral Calculus

539

(9)

10.3 The Pascal-Yang Hui Triangle

548

(8)

10.4 Voting Systems

556

(9)

10.5 Apportionment

565

(9)

10.6 Linear Programming

574

(11)

Appendix

585

(4)

Selected Answers

589

(40)

Credits

629

(4)

Index

633

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