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Using and Understanding Mathematics A Quantitative Reasoning Approach

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ISBN-10: 0321227735

ISBN-13: 9780321227737

Edition: 3rd 2005 (Revised)

Authors: Jeffrey O. Bennett, William Briggs

List price: $122.67
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Description:

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.
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Book details

List price: $122.67
Edition: 3rd
Copyright year: 2005
Publisher: Addison-Wesley Longman, Incorporated
Publication date: 2/17/2004
Binding: Hardcover
Pages: 800
Size: 8.50" wide x 10.00" long x 1.25" tall
Weight: 3.784
Language: English

Jeffrey BennettJeffrey Bennett holds a B.A. (1981) in biophysics from the University of California, San Diego, and an M.S. and Ph.D. (1987) in astrophysics from the University of Colorado, Boulder. He has taught at every level from preschool through graduate school, including more than 50 college classes in astronomy, physics, mathematics, and education. He served two years as a visiting senior scientist at NASA headquarters, where he created NASA's "IDEAS" program, started a program to fly teachers aboard NASA's airborne observatories (including SOFIA), and worked on numerous educational programs For The Hubble Space Telescope and other space science missions. He also proposed the idea for and helped develop both the Colorado Scale Model Solar System on the CU-Boulder campus And The Voyage Scale Model Solar System on the National Mall in Washington, D.C. in addition to this astronomy textbook, he has written college-level textbooks in astrobiology, mathematics, and statistics; two books For The general public: on the Cosmic Horizon (Pearson Addison-Wesley, 2001) and Beyond UFOs (Princeton University Press, 2008); and an award-winning series of children's books that includes Max Goes To The Moon, Max Goes to Mars, Max Goes to Jupiter, and Max's Ice Age Adventure. When not working, he enjoys participating in masters swimming and in the daily adventures of life with his wife, Lisa; his children, Grant and Brooke; and his dog, Cosmo. His personal Website is www.jeffreybennett.com.Seth Shostak earned his B.A. in physics from Princeton University (1965) and a Ph.D. in astronomy from the California Institute of Technology (1972). He is currently a senior astronomer at the SETI Institute in Mountain View, California, where he helps press the search for intelligent cosmic company. for much of his career, Seth conducted radio astronomy research on galaxies and investigated the fact that these massive objects contain large amounts of unseen mass. He has worked at the National Radio Astronomy Observatory in Charlottesville, Virginia, as well as at the Kapteyn Astronomical Institute in Groningen, the Netherlands (where he learned to speak bad Dutch). Seth also founded and ran a company that produced computer animation for television. He has written several hundred popular articles on various topics in astronomy, technology, film, and television. A frequent fixture on the lecture circuit, Seth gives approximately 70 talks annually at both educational and corporate institutions, and he is also a frequent commentator on astronomical matters for radio and television. His book Confessions of an Alien Hunter: A Scientist's Search for Extraterrestrial Intelligence (National Geographic, 2009) details the latest ideas, as well as the personal experience of his day job. When he's not trying to track down aliens, Seth can often be found behind the microphone, as host of the SETI Institute's weekly, one-hour radio show about science, Are We Alone.

Normal 0 false false false Jeffrey Bennettspecializes 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 onUsing and Understanding Mathematicsbegan in 1987, when he helped create a new mathematics course for the University of Coloradorsquo;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-winningMax 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. nbsp; William L. Briggshas 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 asAnts, 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. nbsp;

Preface Prologue: Literacy for the Modern Worl
Logic and Problem Solving
Thinking Critically
Recognizing Fallacies
Propositions and Truth Values
Sets and Venn Diagrams
Analyzing Arguments 1E Critical Thinking in Everyday Life
Approaches to Problem Solving
The Problem-Solving Power of Units
Standardized Units: More Problem-Solving Power
Problem-Solving Guidelines and Hint
Quantitative Information in Everyday Life
Numbers in the Real World
Uses and Abuses of Percentages
Putting Numbers in Perspective
Dealing with Uncertainty
Index Numbers: The CPI and Beyond
How Numbers Deceive: Polygraphs, Mammograms, and More
Managing Your Money
Taking Control of Your Finances
The Power of Compounding
Savings Plans and Investments
Loan Payments, Credit Cards, and Mortgages
Income Taxes
Understanding the Federal Budge
Probability and Statistics
Statistical Reasoning
Fundamentals of Statistics
Should You Believe a Statistical Study
Statistical Tables and Graphs
Graphics in the Media
Correlation and Causality
Putting Statistics to Work
Characterizing a Data Distribution
Measures of Variation
The Normal Distribution
Statistical Inference
Probability: Living with the Odds
Fundamentals of Probability
Combining Probabilities
The Law of Large Numbers
Assessing Risk
Counting and Probabilit
Modeling
Exponential Astonishment
Growth: Linear versus Exponential
Doubling Time and Half-Life
Real Population Growth
Logarithmic Scales: Earthquakes, Sounds, and Acids
Modeling Our World
Functions: The Building Blocks of Mathematical Models
Linear Modeling
Exponential Modeling
Modeling with Geometry
Fundamentals of Geometry
Problem Solving with Geometry
Fractal Geometr
Further Applications
Mathematics and the Arts
Mathematics and Music
Perspective and Symmetry
Proportion and the Golden Ratio
Mathematics and Politics
Voting: Does the Majority Always Rule
Theory of Voting
Apportionment: The House of Representatives and Beyond
Dividing the Political Pie
Mathematics and Business
Network Analysis
The Traveling Salesman Problem
Scheduling Problem
Credits Answers
Index