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For All Practical Purposes (Paper): Mathematical Literacy in Today's World

by: COMAP

For All Practical Purposes (Paper): Mathematical Literacy in Today's World

by: COMAP

ISBN 13:
9780716769019
ISBN 10:
0716769018
Edition: 7th
Format: Paperback
Copyright: 11/05/2005
Publisher: W. H. Freeman

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Summary

http://www.netread.com/jcusers2/bk1388/019/9780716769019/image/lgcover.9780716769019.jpg

Preface

xiii

PART I MANAGEMENT SCIENCE

(176)

Urban Services

(33)

Euler Circuits

(5)

Spotlight 1.1: Leonhard Euler

(1)

Spotlight 1.2: The Human Aspect of Problem Solving

(1)

Finding Euler Circuits

(4)

Beyond Euler Circuits

(7)

Urban Graph Traversal Problems

(17)

Spotlight 1.3: Israel Electric Company Reduces Meter-Reading Task

(2)

Review Vocabulary

(1)

Skills Check

(3)

Exercises

(9)

Applet Exercises

(1)

Writing Projects

(1)

Suggested Readings

(1)

Suggested Web Sites

(1)

Business Efficiency

(44)

Hamiltonian Circuits

(6)

Traveling Salesman Problem

(1)

Helping Traveling Salesmen

(11)

Spotlight 2.1: NP-Complete Problems

(5)

Spotlight 2.2: AT&T Manager Explains How Long-Distance Calls Run Smoothly

(1)

Spotlight 2.3: Common Ancestors?

(1)

Critical-Path Analysis

(25)

Spotlight 2.4: Every Moment Counts in Rigorous Airline Scheduling

(1)

Review Vocabulary

(1)

Skills Check

(3)

Exercises

(13)

Applet Exercises

(1)

Writing Projects

(1)

Suggested Readings

(1)

Suggested Web Sites

(1)

Planning and Scheduling

(44)

Scheduling Tasks

(9)

Critical-Path Schedules

(5)

Spotlight 3.1: Management Science and Disaster Recovery

(3)

Independent Tasks

(3)

Bin Packing

(5)

Spotlight 3.2: Using Mathematical Tools

101

(1)

Resolving Conflict via Coloring

102

(22)

Spotlight 3.3: Scheduling Job Interviews

106

(1)

Review Vocabulary

107

(1)

Skills Check

108

(2)

Exercises

110

(12)

Applet Exercises

122

(1)

Writing Projects

122

(1)

Suggested Readings

123

(1)

Suggested Web Sites

123

(1)

Linear Programming

124

(53)

Mixture Problems: Combining Resources to Maximize Profit

126

(8)

Spotlight 4.1: Case Studies in Linear Programming

127

(7)

Finding the Optimal Production Policy

134

(8)

Why the Corner Point Principle Works

142

(4)

Linear Programming: Life Is Complicated

146

(4)

Spotlight 4.2: Father of Linear Programming Recalls Its Origins

147

(3)

Spotlight 4.3: Finding Fast Algorithms Means Better Airline Service

150

(1)

A Transportation Problem: Delivering Perishables

150

(11)

Improving on the Current Solution

161

(16)

Review Vocabulary

163

(1)

Skills Check

164

(3)

Exercises

167

(8)

Writing Projects

175

(1)

Suggested Readings

175

(1)

Suggested Web Sites

175

(2)

PART II STATISTICS: THE SCIENCE OF DATA

177

(160)

Exploring Data: Distributions

179

(43)

Displaying Distributions: Histograms

181

(2)

Interpreting Histograms

183

(3)

Displaying Distributions: Stemplots

186

(2)

Describing Center: Mean and Median

188

(4)

Spotlight 5.1: Think!

191

(1)

Describing Spread: The Quartiles

192

(1)

The Five-Number Summary and Boxplots

193

(2)

Describing Spread: The Standard Deviation

195

(3)

Normal Distributions

198

(7)

Spotlight 5.2: Density Estimation

204

(1)

The 68--95--99.7 Rule

205

(17)

Review Vocabulary

207

(1)

Skills Check

208

(2)

Exercises

210

(9)

Applet Exercises

219

(1)

Writing Projects

220

(1)

Suggested Readings

220

(1)

Suggested Web Sites

221

(1)

Exploring Data: Relationships

222

(32)

Displaying Relationships: Scatterplots

223

(3)

Regression Lines

226

(2)

Correlation

228

(4)

Spotlight 6.1: Scatterplot Smoothers

229

(3)

Least-Squares Regression

232

(3)

Spotlight 6.2: Regression in Action

232

(3)

Interpreting Correlation and Regression

235

(19)

Review Vocabulary

239

(1)

Skills Check

240

(2)

Exercises

242

(9)

Applet Exercises

251

(1)

Writing Projects

252

(1)

Suggested Readings

252

(1)

Suggested Web Sites

253

(1)

Data for Decisions

254

(42)

Sampling

255

(1)

Bad Sampling Methods

256

(1)

Simple Random Samples

257

(6)

Spotlight 7.1: Is It Really Random?

259

(4)

Cautions About Sample Surveys

263

(1)

Experiments

264

(4)

Thinking About Experiments

268

(2)

Inference: From Sample to Population

270

(6)

Confidence Intervals

276

(20)

Spotlight 7.2: How Accurate Is Our Poll?

280

(1)

Review Vocabulary

281

(2)

Skills Check

283

(2)

Exercises

285

(8)

Applet Exercises

293

(1)

Writing Projects

294

(1)

Suggested Readings

295

(1)

Suggested Web Sites

295

(1)

Probability: The Mathematics of Chance

296

(41)

Probability Models and Rules

297

(7)

Spotlight 8.1: Probability and Risk

302

(2)

Discrete Probability Models

304

(1)

Equally Likely Outcomes

305

(4)

Continuous Probability Models

309

(3)

The Mean and Standard Deviation of a Probability Model

312

(4)

The Central Limit Theorem

316

(21)

Spotlight 8.2: Cancer Clusters

317

(6)

Review Vocabulary

323

(1)

Skills Check

324

(2)

Exercises

326

(8)

Applet Exercises

334

(1)

Writing Projects

335

(1)

Suggested Readings

335

(1)

Suggested Web Sites

335

(2)

PART III VOTING AND SOCIAL CHOICE

337

(136)

Social Choice: The Impossible Dream

339

(30)

Majority Rule and Condorcet's Method

341

(4)

Spotlight 9.1: The Historical Record

344

(1)

Other Voting Systems for Three or More Candidates

345

(11)

Insurmountable Difficulties: Arrow's Impossibility Theorem

356

(3)

Spotlight 9.2: Kenneth J. Arrow

357

(2)

A Better Approach? Approval Voting

359

(10)

Review Vocabulary

361

(1)

Skills Check

362

(2)

Exercises

364

(4)

Writing Projects

368

(1)

Suggested Readings

368

(1)

The Manipulability of Voting Systems

369

(21)

Majority Rule and Condorcet's Method

373

(2)

Other Voting Systems for Three or More Candidates

375

(5)

Impossibility

380

(2)

The Chair's Paradox

382

(8)

Review Vocabulary

384

(1)

Skills Check

384

(2)

Exercises

386

(3)

Writing Projects

389

(1)

Suggested Readings

389

(1)

Weighted Voting Systems

390

(41)

Spotlight 11.1: The Electoral College

392

(2)

Spotlight 11.2: Power Indices

394

(1)

The Shapley--Shubik Power Index

394

(8)

The Banzhaf Power Index

402

(14)

Spotlight 11.3: A Mathematical Quagmire

405

(10)

Spotlight 11.4: The Electoral College: Presidential Elections of 2004 and 2008

415

(1)

Comparing Voting Systems

416

(15)

Review Vocabulary

421

(2)

Skills Check

423

(1)

Exercises

424

(5)

Writing Projects

429

(1)

Suggested Readings

430

(1)

Electing the President

431

(42)

Spatial Models for Two-Candidate Elections

433

(9)

Spatial Models for Multicandidate Elections

442

(5)

Winnowing the Field

447

(1)

What Drives Candidates Out?

448

(3)

Election Reform: Approval Voting

451

(3)

The Electoral College

454

(8)

Is There a Better Way to Elect a President?

462

(11)

Review Vocabulary

463

(2)

Skills Check

465

(1)

Exercises

466

(5)

Writing Projects

471

(1)

Suggested Readings

472

(1)

Suggested Web Sites

472

(1)

PART IV FAIRNESS AND GAME THEORY

473

(118)

Fair Division

475

(29)

The Adjusted Winner Procedure

476

(4)

The Knaster Inheritance Procedure

480

(2)

Taking Turns

482

(3)

Divide-and-Choose

485

(1)

Cake-Division Procedures: Proportionality

486

(4)

Spotlight 13.1: Sixty Years of Cake Cutting

488

(2)

Cake-Division Procedures: The Problem of Envy

490

(14)

Review Vocabulary

493

(1)

Skills Check

494

(3)

Exercises

497

(5)

Writing Projects

502

(1)

Suggested Readings

503

(1)

Apportionment

504

(38)

The Apportionment Problem

504

(5)

The Hamilton Method

509

(5)

Divisor Methods

514

(11)

Which Divisor Method is Best?

525

(17)

Spotlight 14.1: A Legal Challenge to Apportionment

526

(4)

Spotlight 14.2: Mathematics and Politics: A Strange Mixture

530

(1)

Review Vocabulary

531

(2)

Skills Check

533

(1)

Exercises

534

(6)

Applet Exercises

540

(1)

Writing Projects

540

(1)

Suggested Readings

541

(1)

Suggested Web Sites

541

(1)

Game Theory: The Mathematics of Competition

542

(49)

Spotlight 15.1: The Early History of Game Theory

543

(1)

Two-Person Total-Conflict Games: Pure Strategies

544

(6)

Two-Person Total-Conflict Games: Mixed Strategies

550

(10)

Partial-Conflict Games

560

(8)

Spotlight 15.2: The 1994 Nobel Prize in Economics

567

(1)

Larger Games

568

(7)

Using Game Theory

575

(16)

Review Vocabulary

580

(1)

Skills Check

581

(3)

Exercises

584

(4)

Applet Exercises

588

(1)

Writing Projects

588

(1)

Suggested Readings

589

(1)

Suggested Web Sites

589

(2)

PART V THE DIGITAL REVOLUTION

591

(70)

Identification Numbers

593

(26)

Check Digits

593

(8)

Spotlight 16.1: Bank Checks

596

(3)

Spotlight 16.2: German Banknotes

599

(1)

Spotlight 16.3: The VIN System

600

(1)

The ZIP Code

601

(2)

Bar Codes

603

(5)

Encoding Personal Data

608

(11)

Spotlight 16.4: Social Security Numbers

609

(2)

Review Vocabulary

611

(1)

Skills Check

612

(1)

Exercises

613

(5)

Writing Projects

618

(1)

Suggested Readings

618

(1)

Suggested Web Sites

618

(1)

Information Science

619

(42)

Binary Codes

619

(4)

Spotlight 17.1: The Ubiquitous Reed--Solomon Codes

621

(1)

Spotlight 17.2: Vera Pless

622

(1)

Encoding with Parity-Check Sums

623

(11)

Spotlight 17.3: Neil Sloane

624

(8)

Spotlight 17.4: David Huffman

632

(2)

Cryptography

634

(10)

Spotlight 17.5: Modeling the Genetic Code

636

(3)

Spotlight 17.6: Adventure of the Dancing Men

639

(5)

Web Searches and Mathematical Logic

644

(17)

Spotlight 17.7: The Network Structure of the Internet

644

(3)

Spotlight 17.8: Six Degrees of Kevin Bacon

647

(5)

Review Vocabulary

652

(1)

Skills Check

653

(1)

Exercises

654

(5)

Writing Projects

659

(1)

Suggested Readings

659

(1)

Suggested Web Sites

659

(2)

PART VI ON SIZE AND GROWTH

661

(132)

Growth and Form

663

(46)

Geometric Similarity

664

(5)

How Much Is That in...?

669

(3)

Scaling a Mountain

672

(6)

Spotlight 18.1: A Mile-High Building?

675

(3)

Sorry, No King Kongs

678

(2)

Spotlight 18.2: Galileo and the Problem of Scale

679

(1)

Dimension Tension

680

(8)

Spotlight 18.3: ``Take That, King Richard!''

684

(4)

How to Grow

688

(21)

Spotlight 18.4: Helping to Find Missing Children

690

(4)

Review Vocabulary

694

(1)

Skills Check

695

(1)

Exercises

696

(10)

Writing Projects

706

(2)

Suggested Readings

708

(1)

Suggested Web Sites

708

(1)

Symmetry and Patterns

709

(46)

Fibonacci Numbers and the Golden Ratio

710

(7)

Spotlight 19.1: Leonardo of Pisa (``Fibonacci'')

711

(2)

Spotlight 19.2: How the Greeks Constructed a Golden Rectangle

713

(2)

Spotlight 19.3: The Consumer Price Index: An Application of the Geometric Mean

715

(2)

Symmetries Preserve the Pattern

717

(3)

Rosette, Strip, and Wallpaper Patterns

720

(5)

Spotlight 19.4: ``Strive Then to Be Perfect''

721

(2)

Spotlight 19.5: Patterns Created by the Bakuba People

723

(2)

Notation for Patterns

725

(6)

Spotlight 19.6: The 17 Wallpaper Patterns

726

(5)

Symmetry Groups

731

(4)

Fractal Patterns and Chaos

735

(20)

Spotlight 19.7: The Father of Fractals

739

(1)

Review Vocabulary

740

(1)

Skills Check

741

(2)

Exercises

743

(10)

Writing Projects

753

(1)

Suggested Readings

753

(1)

Suggested Web Sites

754

(1)

Tilings

755

(38)

Tilings with Regular Polygons

756

(5)

Spotlight 20:1 Regular Polyhedra and Buckyballs

758

(3)

Tilings with Irregular Polygons

761

(5)

Spotlight 20.2: In Praise of Amateurs

765

(1)

Using Translations

766

(3)

Using Translations Plus Half-Turns

769

(5)

Nonperiodic Tilings

774

(19)

Spotlight 20.3: Sir Roger Penrose

776

(6)

Spotlight 20.4: Quasicrystals

782

(1)

Review Vocabulary

783

(1)

Skills Check

784

(1)

Exercises

785

(6)

Writing Projects

791

(1)

Suggested Readings

791

(1)

Suggested Web Sites

791

(2)

PART VII YOUR MONEY AND RESOURCES

793

Savings Models

795

(39)

Arithmetic Growth and Simple Interest

795

(2)

Geometric Growth and Compound Interest

797

(8)

Spotlight 21.1: Thomas Robert Malthus

805

(1)

A Limit to Compounding

805

(4)

Spotlight 21.2: The Number e

807

(2)

A Model for Investment

809

(4)

Exponential Decay and the Consumer Price Index

813

(4)

Real Growth and Valuing Investments

817

(17)

Spotlight 21.3: Nobel Prize for a Model in Economics

821

(1)

Review Vocabulary

822

(1)

Skills Check

823

(1)

Exercises

824

(8)

Applet Exercises

832

(1)

Writing Projects

832

(1)

Suggested Readings

833

(1)

Suggested Web Sites

833

(1)

Borrowing Models

834

(25)

Simple Interest

834

(2)

Compound Interest

836

(3)

Conventional Loans

839

(8)

Spotlight 22.1: What's the Real Rate?

840

(6)

Spotlight 22.2: What We Did with Our House, and What Else You Could Do

846

(1)

Annuities

847

(12)

Spotlight 22.3: What Actuaries Do

849

(1)

Review Vocabulary

850

(1)

Skills Check

850

(2)

Exercises

852

(5)

Applet Exercises

857

(1)

Writing Projects

857

(1)

Suggested Readings

858

(1)

Suggested Web Sites

858

(1)

The Economics of Resources

859

Growth Models for Biological Populations

860

(5)

Spotlight 23.1: 12 Billion by 2050--or Only 9 Billion?

863

(2)

How Long Can a Nonrenewable Resource Last?

865

(5)

Sustaining Renewable Resources

870

(6)

The Economics of Harvesting Resources

876

(5)

Spotlight 23.2: The Tragedy of Easter Island

879

(2)

Dynamical Systems and Chaos

881

Review Vocabulary

885

(1)

Skills Check

886

(1)

Exercises

887

(6)

Writing Projects

893

(1)

Suggested Readings

894

(1)

Suggested Web Sites

894

Answers to Skills Check Exercises

(1)

Answers to Odd-Numbered Exercises

(1)

Index

Amazon no longer offers textbook rentals. We do!

For All Practical Purposes (Paper): Mathematical Literacy in Today's World

For All Practical Purposes (Paper): Mathematical Literacy in Today's World

9780716769019

0716769018

Summary

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

For All Practical Purposes (Paper): Mathematical Literacy in Today's World

For All Practical Purposes (Paper): Mathematical Literacy in Today's World

9780716769019

0716769018

Summary

Table of Contents

Supplemental Materials

Write a Review

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