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Using and Understanding Mathematics: A Quantitative Reasoning Approach

Using and Understanding Mathematics: A Quantitative Reasoning Approach


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About the Book

The premiere text for the emerging Quantitative Reasoning/Quantitative Literacy Course offers an innovative approach for Liberal Arts/Survey Math. It provides a legitimate alternative to algebra and math appreciation courses for non-quantitative majors, helping to reduce math anxiety, emphasizing practicality, and focusing on the use of mathematics in college, career and life.

Table of Contents:
Prologue: Literacy for the Modern World. I. LOGIC AND PROBLEM SOLVING. 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. 2. Approaches to Problem Solving. 2A The Problem-Solving Power of Units. 2B Standardized Units: More Problem-Solving Power. 2C Problem Solving: General Guidelines and Hints. II. QUANTITATIVE INFORMATION IN EVERYDAY LIFE. 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. 4. Financial Management. 4A The Power of Compounding. 4B Savings Plans and Investements. 4C Loan Payments, Credit Cards, and Mortgages. 4D Income Taxes. 4E Understanding the Federal Budget. III. PROBABILITY AND STATISTICS. 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. 6. Putting Statistics to Work. 6A Characterizing Data. 6B Measures of Variation. 6C The Normal Distribution. 6D Statistical Inference. 7. Probability: Living with the Odds. 7A Fundamentals of Probability. 7B Combining Probabilities. 7C The Law of Averages. 7D Assessing Risk. 7E Counting and Probability. IV. MODELING. 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. 9. Modeling Our World. 9A Functions: The Building Blocks of Mathematical Models. 9B Linear Modeling. 9C Exponential Modeling. V. FURTHER APPLICATIONS. 10. Mathematics and the Arts. 10A Fundamentals of Geometry. 10B Mathematics and Music. 10C Perspective and Symmetry. 10D Proportion and the Golden Ratio. 10E Fractal Geometry. 11. Mathematics and Politics. 11A Voting: Does the Majority Always Rule?. 11B Theory of Voting. 11C Apportionment: The House of Representatives and Beyond. 12. Mathematics in Business. 12A Network Analysis. 12B The Traveling Salesman Problem. 12C Project Design.

About the Author :
Jeff Bennett¿s academic home is the University of Colorado at Boulder, where he has been teaching on and off since 1983 and from which he received his Ph.D. in Astrophysics in 1987. During this time, he¿s taught more than 50 college courses in subjects including mathematics, astronomy, physics, environmental science, and science education. He began work on Using and Understanding Mathematics because he is particularly interested in helping students overcome difficulties with mathematics. For similar reasons, he has recently completed a textbook for introductory astronomy (The Cosmic Perspective, with M. Donahue, N. Schneider, and G.M. Voit, Addison Wesley Longman, 1999). He is also working on several books about mathematics and science for the general public. In addition, he is now working on science books for children. Jeff is perhaps best known for his role in creating the Voyage Scale Model Solar System on the National Mall in Washington, DC (opening October 2001); he proposed the project and worked on the team that developed it as a collaborative effort between the Challenger Center for Space Science Education, the Smithsonian Institution, and NASA. When not working, he enjoys participating in 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 17 years. He teaches throughout the undergraduate and graduate curriculum with a special interest in teaching mathematical modeling as it applies to problems in biology and medicine. He developed the quantitative reasoning course for liberal arts students at CU-Denver supported by the textbook Using and Understanding Mathematics, which he co-authored with Jeff Bennett. He has written two other tutorial monographs, The Multigrid Tutorial and The DFT: An Owner's Manual for the Discrete Fourier Transform. 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, his daughter, Katie, and two dogs, Midnight and Seamus, in Boulder, Colorado. He loves to bake bread, as well as run trails and rock climb in the mountains near his home.


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Product Details
  • ISBN-13: 9780201717112
  • Publisher: Pearson Education (US)
  • Publisher Imprint: Pearson
  • Height: 261 mm
  • No of Pages: 744
  • Sub Title: A Quantitative Reasoning Approach
  • Width: 222 mm
  • ISBN-10: 0201717115
  • Publisher Date: 27 Feb 2002
  • Binding: Hardback
  • Language: English
  • Spine Width: 27 mm
  • Weight: 1628 gr


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