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Using and Understanding Mathematics (4TH 08 - Old Edition)

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Using and Understanding Mathematics (4TH 08 - Old Edition) Cover

 

Synopses & Reviews

Please note that used books may not include additional media (study guides, CDs, DVDs, solutions manuals, etc.) as described in the publisher comments.

Publisher Comments:

Most students taking this course do so to fulfill a requirement, but the true benefit of the course is learning how to use and understand mathematics in daily life. This quantitative reasoning text is written expressly for those students, providing them with the mathematical reasoning and quantitative literacy skills they'll need to make good decisions throughout their lives. Common-sense applications of mathematics engage students while underscoring the practical, essential uses of math.

Synopsis:

Using and Understanding Mathematics: A Quantitative Reasoning Approach, Fifth Edition increases readers’ mathematical literacy so that they better understand the mathematics used in their daily lives, and can use math effectively to make better decisions every day. Contents are organized with that in mind, with engaging coverage in sections like Taking Control of Your Finances, Dividing the Political Pie, and a full chapter about Mathematics and the Arts.

Synopsis:

This collection of engaging articles from The New York Times explores a wide range of quantitative topics appearing in recent news items and stories. Articles are correlated to chapters in Using and Understanding Mathematics: A Quantitative Reasoning Approach, and chapter-specific references make it easy for you to relate each article to the textbook. A series of follow-up questions are also included for homework or class discussion.

About the Author

Jeffrey Bennett specializes in mathematics and science education. He has taught at every level from pre-school through graduate school, including more than 50 college courses in mathematics, physics, astronomy, and education. His work on Using and Understanding Mathematics began in 1987, when he helped create a new mathematics course for the University of Colorado’s core curriculum. Variations on this course, with its quantitative reasoning approach, are now taught at hundreds of colleges nationwide. In addition to his work in mathematics, Dr. Bennett (whose PhD is in astrophysics) has written leading college-level textbooks in astronomy, statistics, and the new science of astrobiology, as well as books for the general public. He also proposed and developed both the Colorado Scale Model Solar System on the University of Colorado at Boulder campus and the Voyage Scale Model Solar System, a permanent, outdoor exhibit on the National Mall in Washington, DC. He has recently begun writing science books for children, including the award-winning Max Goes to the Moon and Max Goes to Mars. When not working, he enjoys swimming as well as hiking the trails of Boulder, Colorado with his family.

 

William L. Briggs has been on the mathematics faculty at the University of Colorado at Denver for 22 years. He teaches numerous courses within the undergraduate and graduate curriculum, and has special interest in teaching calculus, differential equations, and mathematical modeling. He developed the quantitative reasoning course for liberal arts students at University of Colorado at Denver supported by his textbook Using and Understanding Mathematics. He has written two other tutorial monographs, The Multigrid Tutorial and The DFT: An Owner's Manual for the Discrete Fourier Transform, as well as Ants, Bikes, Clocks, a mathematical problem solving text for undergraduates. He is a University of Colorado President's Teaching Scholar, an Outstanding Teacher awardee of the Rocky Mountain Section of the MAA, and the recipient of a Fulbright Fellowship to Ireland. Bill lives with his wife, Julie, and their Gordon setter, Seamus, in Boulder, Colorado. He loves to bake bread, run trails, and rock climb in the mountains near his home.

 

Table of Contents

Preface

Prologue: Literacy for the Modern World

 

Part 1 Logic and Problem Solving

Chapter 1 Thinking Critically

1A Recognizing Fallacies

1B Propositions and Truth Values

1C Sets and Venn Diagrams

1D Analyzing Arguments

1E Critical Thinking in Everyday Life

 

Chapter 2 Approaches to Problem Solving

2A The Problem-Solving Power of Units

2B Standardized Units: More Problem-Solving Power

2C Problem-Solving Guidelines and Hints

 

Part 2 Quantitative Information in Everyday Life

Chapter 3 Numbers in the Real World

3A Uses and Abuses of Percentages

3B Putting Numbers in Perspective

3C Dealing with Uncertainty

3D Index Numbers: The CPI and Beyond

3E How Numbers Deceive: Polygraphs, Mammograms, and More

 

Chapter 4 Managing Money

4A Taking Control of Your Finances

4B The Power of Compounding

4C Savings Plans and Investments

4D Loan Payments, Credit Cards, and Mortgages

4E Income Taxes

4F Understanding the Federal Budget

 

Part 3 Probability and Statistics

Chapter 5 Statistical Reasoning

5A Fundamentals of Statistics

5B Should You Believe a Statistical Study?

5C Statistical Tables and Graphs

5D Graphics in the Media

5E Correlation and Causality

 

Chapter 6 Putting Statistics to Work

6A Characterizing Data

6B Measures of Variation

6C The Normal Distribution

6D Statistical Inference

 

Chapter 7 Probability: Living with the Odds

7A Fundamentals of Probability

7B Combining Probabilities

7C The Law of Large Numbers

7D Assessing Risk

7E Counting and Probability

 

Part 4 Modeling

Chapter 8 Exponential Astonishment

8A Growth: Linear versus Exponential

8B Doubling Time and Half-Life

8C Real Population Growth

8D Logarithmic Scales: Earthquakes, Sounds, and Acids

 

Chapter 9 Modeling Our World

9A Functions: The Building Blocks of Mathematical Models

9B Linear Modeling

9C Exponential Modeling

 

Chapter 10 Modeling with Geometry

10A Fundamentals of Geometry

10B Problem Solving with Geometry

10C Fractal Geometry

 

Part 5 Further Applications

Chapter 11 Mathematics and the Arts

11A Mathematics and Music

11B Perspective and Symmetry

11C Proportion and the Golden Ratio

 

Chapter 12 Mathematics and Politics

12A Voting: Does the Majority Always Rule?

12B Theory of Voting

12C Apportionment: The House of Representatives and Beyond

12D Dividing the Political Pie

 

Credits

Answers Index

Product Details

ISBN:
9780321458209
Subtitle:
A Quantitative Reasoning Approach
Author:
Bennett, Jeffrey
Author:
Bennett, Jeffrey O.
Author:
Briggs, William L.
Publisher:
Addison Wesley
Subject:
General
Subject:
Mathematics
Subject:
General Mathematics
Copyright:
Edition Number:
4
Edition Description:
Trade paper
Publication Date:
January 2007
Binding:
Hardback
Grade Level:
College/higher education:
Language:
English
Illustrations:
Y
Pages:
744
Dimensions:
10.8 x 8.4 x 0.4 in 499 gr

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Related Subjects

Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics
Textbooks » General

Using and Understanding Mathematics (4TH 08 - Old Edition) Used Hardcover
0 stars - 0 reviews
$90.00 In Stock
Product details 744 pages Addison Wesley Publishing Company - English 9780321458209 Reviews:
"Synopsis" by , Using and Understanding Mathematics: A Quantitative Reasoning Approach, Fifth Edition increases readers’ mathematical literacy so that they better understand the mathematics used in their daily lives, and can use math effectively to make better decisions every day. Contents are organized with that in mind, with engaging coverage in sections like Taking Control of Your Finances, Dividing the Political Pie, and a full chapter about Mathematics and the Arts.
"Synopsis" by , This collection of engaging articles from The New York Times explores a wide range of quantitative topics appearing in recent news items and stories. Articles are correlated to chapters in Using and Understanding Mathematics: A Quantitative Reasoning Approach, and chapter-specific references make it easy for you to relate each article to the textbook. A series of follow-up questions are also included for homework or class discussion.
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