Mathematical Ideas / Edition 11

by Charles D. Miller, Vern E. Heeren, John Hornsby

Overview

One of the biggest issues college math instructors face is capturing and keeping student interest. Over the years, John Hornsby has refined a creative solution—bringing the best of Hollywood into his mathematics classroom. Mathematical Ideas applies this same strategy of engaging students through descriptions of video clips from popular cinema and television to the textbook. Alongside fresh data and tools, this Eleventh Edition uses up-to-the-minute images as well as old favorites of math being done in Hollywood. In addition, examples are clarified with additional annotations, the margin notes have been freshened, and Chapter 14: Personal Financial Management has been updated to meet the needs of today's students. With great care and effort, Vern Heeren and John Hornsby have crafted this new edition to serve the needs of today's students and instructors.

Product Details

ISBN-13:	9780321361486
Publisher:	Addison Wesley
Publication date:	01/16/2007
Series:	MathXL Tutorials on CD Series
Edition description:	Revised Edition
Pages:	952
Product dimensions:	10.18(w) x 10.92(h) x 1.55(d)

About the Author

Charles Miller

Vern Heeren grew up in the Sacramento Valley of California. After earning a Bachelor of Arts degree in mathematics, with a minor in physics, at Occidental College, and completing his Master of Arts degree in mathematics at the University of California, Davis, he began a 38-year teaching career at American River College, teaching math and a little physics. He coauthored Mathematical Ideas in 1968 with office mate Charles Miller, and he has enjoyed researching and revising it over the years. It has been a joy for him to complete the thirteenth edition, along with long time coauthor John Hornsby, and now also with son Christopher. These days, besides pursuing his mathematical interests, Vern enjoys spending time with his wife Carole and their family, exploring the wonders of nature near their home in central Oregon.

John Hornsby joined the author team of Margaret Lial, Charles Miller, and Vern Heeren in 1988. In 1990, the sixth edition of Mathematical Ideas became the first of nearly 150 titles he has coauthored for Scott Foresman, HarperCollins, Addison-Wesley, and Pearson in the years that have followed. His books cover the areas of developmental and college algebra, precalculus, trigonometry, and mathematics for the liberal arts. He is a native and resident of New Roads, Louisiana.

Christopher Heeren is a native of Sacramento, California. While studying engineering in college, he had an opportunity to teach a math class at a local high school, and this sparked both a passion for teaching and a change of major. He received a Bachelor of Arts degree and a Master of Arts degree, both in mathematics, from California State University¿—Sacramento. Chris has taught mathematics at the middle school, high school, and college levels, and he currently teaches at American River College in Sacramento. He has a continuing interest in using technology to bring mathematics to life. When not writing, teaching, or preparing to teach, Chris enjoys spending time with his lovely wife Heather and their three children (and two dogs and a guinea pig).

Table of Contents

Preface

Acknowledgments

About the Authors

1. The Art of Problem Solving

1.1 Solving Problems by Inductive Reasoning

1.2 An Application of Inductive Reasoning: Number Patterns 

1.3 Strategies for Problem Solving

1.4 Numeracy in Today’s World

Chapter 1 Summary

Chapter 1 Test

2. The Basic Concepts of Set Theory

2.1 Symbols and Terminology

2.2 Venn Diagrams and Subsets 

2.3 Set Operations 

2.4 Surveys and Cardinal Numbers 

Chapter 2 Summary

Chapter 2 Test 

3. Introduction to Logic

3.1 Statements and Quantifiers 

3.2 Truth Tables and Equivalent Statements 

3.3 The Conditional and Circuits 

3.4 The Conditional and Related Statements 

3.5 Analyzing Arguments with Euler Diagrams 

3.6 Analyzing Arguments with Truth Tables 

Chapter 3 Summary

Chapter 3 Test 

4. Numeration Systems

4.1 Historical Numeration Systems 

4.2 More Historical Numeration Systems 

4.3 Arithmetic in the Hindu-Arabic System

4.4 Conversion between Number Bases 

Chapter 4 Summary

Chapter 4 Test 

5. Number Theory

5.1 Prime and Composite Numbers 

5.2 Large Prime Numbers 

5.3 Selected Topics from Number Theory

5.4 Greatest Common Factor and Least Common Multiple

5.5 The Fibonacci Sequence and the Golden Ratio

5.6 Magic Squares (online)

Chapter 5 Summary

Chapter 5 Test 

6. The Real Numbers and Their Representations

6.1 Real Numbers, Order, and Absolute Value

6.2 Operations, Properties, and Applications of Real Numbers 

6.3 Rational Numbers and Decimal Representation

6.4 Irrational Numbers and Decimal Representation

6.5 Applications of Decimals and Percents 

Chapter 6 Summary