Mathematics all around /
Thomas L. Pirnot.
- xiv, 814, 10 pages : illustrations (some colour) ; 26 cm
Includes indexes.
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 -- 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 -- Graph Theory: -- The Mathematics of Relationships -- Graphs, Puzzles and Map Coloring -- The Traveling Salesperson Problem -- Directed Graphs -- Of Further Interest: Scheduling Projects Using PERT -- 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 -- 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 -- 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 -- 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 -- Geometry: -- Ancient and Modern Mathematics Embrace -- Lines, Angles, and Circles -- Polygons -- Perimeter and Area -- Surface Area -- The Metric System and Dimensional Analysis -- Geometric Symmetry and Tessellations -- Of Further Interest: Fractals -- 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 -- Voting: -- Using Mathematics to Make Choices -- Voting Methods -- Defects in Voting Methods -- Weighted Voting Systems -- Of Further Interest: The Shapley-Shubik Index -- Consumer Mathematics: -- The Mathematics of Everyday Life -- Percent -- Interest -- Consumer Loans -- Annuities -- Amortization -- Of Further Interest: The Annual Percentage Rate -- Counting: -- Just How Many Are There? -- Introduction to Counting Methods -- The Fundamental Counting Principle -- Permutations and Combinations -- Of Further Interest: Counting and Gambling -- 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 -- 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. 1. 2. 3. 4. 5. 6. 7. 8. Volume and. 9. 10. 11. 12. 13. 14.