Using and Understanding Mathematics
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Using and Understanding Mathematics: A Quantitative Reasoning Approach: International Edition

Using and Understanding Mathematics: A Quantitative Reasoning Approach: International Edition


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About the Book

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.

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 Your 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 a Data Distribution 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   Chapter 13   Mathematics and Business 13A     Network Analysis 13B     The Traveling Salesman Problem 13C     Scheduling Problems   Credits Answers Index    

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 masters swimming and 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.


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Product Details
  • ISBN-13: 9780321526809
  • Publisher: Pearson Education (US)
  • Publisher Imprint: Pearson
  • Height: 256 mm
  • No of Pages: 848
  • Sub Title: A Quantitative Reasoning Approach: International Edition
  • Width: 214 mm
  • ISBN-10: 0321526805
  • Publisher Date: 03 Dec 2007
  • Binding: Paperback
  • Language: English
  • Spine Width: 27 mm
  • Weight: 1544 gr


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