MATHEMATICS: ITS POWER AND UTILITY, 9e, combines a uniquely practical focus on real-world problem solving with a thorough and effective grounding in basic concepts and skills, allowing even the least-interested or worst-prepared student to appreciate the beauty and value of math while mastering course material. The first section of the book explores the power and historic impact of mathematics and helps you harness that power by developing an effective approach to problem solving. The second section builds on this foundation by applying math concepts to a wide variety of real-life situations--including money management; handling of credit cards; inflation; purchase of a car or home; use of probability, statistics, and surveys; and many more topics of interest. MATHEMATICS: ITS POWER AND UTILITY, 9e, assumes only a basic working knowledge of arithmetic, making it effective even if you have no exposure to algebra or little confidence in your current math skills.
Author(s): Karl J. Smith
Edition: 9th
Publisher: Brooks Cole
Year: 2008
Language: English
Pages: 652
Tags: Математика;Популярная математика;
Front Cover......Page 1
Title Page......Page 2
Copyright......Page 3
CONTENTS......Page 6
PREFACE......Page 10
I: Foundations: The Power of Mathematics......Page 18
CHAPTER 1 Arithmetic, Calculators, and Problem Solving......Page 20
1.1 Math Anxiety......Page 21
1.2 Formulating the Problem......Page 28
1.3 Fractions and Decimals......Page 37
1.4 Rounding and Estimation......Page 46
1.5 Exponents and Prime Factorization......Page 51
1.6 Common Fractions......Page 60
1.7 Adding and Subtracting Fractions......Page 69
1.8 Hindu–Arabic Numeration System......Page 78
1.9 Different Numeration Systems......Page 83
1.10 Chapter 1 Summary and Review......Page 89
CHAPTER 2 Sets of Numbers......Page 100
2.1 Symbol Shock......Page 101
2.2 Addition of Integers......Page 108
2.3 Subtraction of Integers......Page 115
2.4 Multiplication of Integers......Page 120
2.5 Division of Integers......Page 125
2.6 Rational and Irrational Numbers......Page 129
2.7 Chapter 2 Summary and Review......Page 141
CHAPTER 3 Introduction to Algebra......Page 150
3.1 Polynomials......Page 151
3.2 Similar Terms......Page 157
3.3 Simplification......Page 160
3.4 Equations......Page 165
3.5 Solving Equations......Page 172
3.6 Problem Solving with Algebra......Page 178
3.7 Inequalities......Page 186
3.8 Chapter 3 Summary and Review......Page 193
CHAPTER 4 Percents and Problem Solving......Page 200
4.1 Ratio and Proportion......Page 201
4.2 Problem Solving with Proportions......Page 205
4.3 Percent......Page 210
4.4 Problem Solving with Percents......Page 216
4.5 Chapter 4 Summary and Review......Page 223
CHAPTER 5 Introduction to Geometry......Page 232
5.1 Euclidean Geometry......Page 233
5.2 Polygons and Angles......Page 242
5.3 Triangles......Page 251
5.4 Similar Triangles......Page 258
5.5 Chapter 5 Summary and Review......Page 267
CHAPTER 6 Measurement and Problem Solving......Page 282
6.1 Precision, Accuracy, and Estimation......Page 283
6.2 Perimeter......Page 290
6.3 Area......Page 297
6.4 Volume and Capacity......Page 308
6.5 Miscellaneous Measurements......Page 317
6.6 Converting Units......Page 323
6.7 Chapter 6 Summary and Review......Page 333
II: Applications: The Utility of Mathematics......Page 348
CHAPTER 7 Applications of Percent......Page 350
7.1 Discount, Sale Price, and Sales Tax......Page 351
7.2 Simple Interest......Page 358
7.3 Buying on Credit......Page 365
7.4 Credit Card Interest......Page 373
7.5 Compound Interest......Page 379
7.6 Buying a Home......Page 389
7.7 Chapter 7 Summary and Review......Page 398
CHAPTER 8 Sets and Logic......Page 412
8.1 Introduction to Sets......Page 413
8.2 Set Relationships......Page 420
8.3 Operations with Sets......Page 424
8.4 Venn Diagrams......Page 429
8.5 Survey Problems Using Sets......Page 436
8.6 Inductive and Deductive Reasoning......Page 443
8.7 Chapter 8 Summary and Review......Page 450
CHAPTER 9 Probability......Page 464
9.1 Introduction to Probability......Page 465
9.2 Probability Models......Page 475
9.3 Odds and Conditional Probability......Page 483
9.4 Mathematical Expectation......Page 490
9.5 Chapter 9 Summary and Review......Page 500
CHAPTER 10 Statistics......Page 512
10.1 Frequency Distributions and Graphs......Page 513
10.2 Measures of Central Tendency......Page 524
10.3 Measures of Position......Page 530
10.4 Measures of Dispersion......Page 535
10.5 The Normal Curve and Sampling......Page 542
10.6 Chapter 10 Summary and Review......Page 549
CHAPTER 11 Graphs......Page 560
11.1 Cartesian Coordinate System......Page 561
11.2 Functions......Page 568
11.3 Lines......Page 574
11.4 Systems and Inequalities......Page 580
11.5 Graphing Curves......Page 588
11.6 Chapter 11 Summary and Review......Page 595
A: Glossary......Page 602
I. Trigonometric Ratios......Page 617
II. Monthly Cost to Finance $1,000......Page 618
III. Mortality Table......Page 619
C: Answers to Selected Problems......Page 620
INDEX......Page 642
