TY - BOOK AU - Pirnot,Thomas L. TI - Mathematics all around SN - 0201308150 AV - QA39.2 .P57 2001 U1 - 510 21 PY - 2001///] CY - Boston PB - Addison Wesley KW - Mathematics N1 - Includes indexes; 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 ER -