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Mathematics All Around

Mathematics All Around

          
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About the Book

In the words of the author, “I have written Mathematics All Around based on the belief that there are three things a student must focus on in order to learn and remember mathematics—understanding, understanding, understanding. Instead of simply presenting the students with an equation or method and asking them to repeat the procedure, I explain the thinking behind the subject so they have a better grasp of the material and an easier time with the work. With this approach, one can discuss topics usually considered “too difficult” for liberal arts students. As a result, students end up with an understanding of and positive attitude toward many different and often challenging mathematical topics.”

Table of Contents:
(*indicates new content) 1. Set Theory: Using Mathematics to Classify Objects. Problem Solving. *Estimation. The Language of Sets. Comparing Sets. Set Operations. Survey Problems. *Of Further Interest: Infinite Sets. 2. Logic: The Study of What's True or False or Somewhere in Between. *Inductive and Deductive Reasoning. Statements, Connectives, and Quantifiers. Truth Tables. The Conditional and Biconditional. Verifying Arguments. Using Euler Diagrams to Verify Syllogisms. Of Further Interest: Fuzzy Logic. 3. Graph Theory: The Mathematics of Relationships. Graphs, Puzzles and Map Coloring. The Traveling Salesperson Problem. Directed Graphs. Of Further Interest: Scheduling Projects Using PERT. 4. Numeration Systems: Does It Matter How We Name Numbers? *The Evolution of Numeration Systems. *Place Value Systems. *Calculating in Other Bases. *Of Further Interest: Modular Systems. 5. Number Theory and the Real Number System: Understanding the Numbers All Around Us. *Number Theory. *The Integers. *The Rational Numbers. *The Real Number System. *Exponents and Scientific Notation. *Of Further Interest: Sequences. 6. Algebraic Models: How Do We Approximate Reality? Linear Equations. Modeling With Linear Equations. Modeling with Quadratic Equations. Exponential Equations and Growth. *Proportions and Variation. Of Further Interest: Dynamical Systems. 7. Modeling with Systems of Linear Equations and Inequalities: What's the Best Way to Do It? *Systems of Linear Equations. *Systems of Linear Inequalities. *Of Further Interest: Linear Programming. 8. Geometry: Ancient and Modern Mathematics Embrace. Lines, Angles, and Circles. Polygons. Perimeter and Area. Volume and Surface Area. *The Metric System and Dimensional Analysis. Geometric Symmetry and Tessellations. Of Further Interest: Fractals. 9. Apportionment: How Do We Measure Fariness? Understanding Apportionment. The Huntington-Hill Apportionment Principle. Applications of the Apportionment Principle. *Other Paradoxes and Apportionment Methods. Of Further Interest: Fair Division. 10. Voting: Using Mathematics to Make Choices. Voting Methods. Defects in Voting Methods. Weighted Voting Systems. Of Further Interest: The Shapley-Shubik Index. 11. Consumer Mathematics: The Mathematics of Everyday Life. *Percent. Interest. Consumer Loans. Annuities. Amortization. Of Further Interest: The Annual Percentage Rate. 12. Counting: Just How Many Are There? Introduction to Counting Methods. The Fundamental Counting Principle. Permutations and Combinations. Of Further Interest: Counting and Gambling. 13. Probability: What Are the Chances? The Basics of Probability Theory. Complements and Unions of Events. Conditional Probability and Intersections of Events. Expected Value. Of Further Interest: Binomial Experiments. 14. Descriptive Statistics: What Does a Data Set Tell Us? Organizing and Visualizing Data. Measures of Central Tendency. Measures of Dispersion. The Normal Distribution. Of Further Interest: Linear Correlation.


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Product Details
  • ISBN-13: 9780201795110
  • Publisher: Pearson Education (US)
  • Publisher Imprint: Pearson
  • Edition: 2 Rev ed
  • Language: English
  • Returnable: Y
  • Spine Width: 35 mm
  • Width: 221 mm
  • ISBN-10: 0201795116
  • Publisher Date: 02 Apr 2003
  • Binding: Paperback
  • Height: 262 mm
  • No of Pages: 960
  • Series Title: English
  • Weight: 1978 gr


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