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## Details

Document Type: | Book |
---|---|

All Authors / Contributors: |
Thomas L Pirnot |

ISBN: | 0201795116 9780201795110 |

OCLC Number: | 50422992 |

Notes: | Includes index. |

Description: | xviii, 906, 9 pages : illustrations (some color) ; 27 cm |

Contents: | Part 1 Set Theory: Using Mathematics to Classify Objects; Problem Solving; Estimation; The Language of Sets; Comparing Sets; Set Operations; Survey Problems; Of Further Interest -- Fuzzy Sets. Part 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. Part 3 Graph Theory: The Mathematics of Relationships; Graphs, Puzzles and Map Colouring; The Travelling Salesperson Problem; Directed Graphs; Of Further Interest -- Scheduling Projects Using PERT. Part 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. Part 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. Part 6 Algebraic Models: How Do We Approximate Reality?; Linear Equations; Modelling With Linear Equations; Modelling with Quadratic Equations; Exponential Equations and Growth; Proportions and Variation; Of Further Interest -- Dynamical Systems. Part 7 Modelling 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. Part 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. Part 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. Part 10 Voting: Using Mathematics to Make Choices; Voting Methods; Defects in Voting Methods; Weighted Voting Systems; Of Further Interest -- The Shapley-Shubik Index. Part 11 Consumer Mathematics: The Mathematics of Everyday Life; Percent; Interest; Consumer Loans; Annuities; Amortization; Of Further Interest -- The Annual Percentage Rate. Part 12 Counting: Just How Many Are There?; Introduction to Counting Methods; The Fundamental Counting Principle; Permutations and Combinations; Of Further Interest -- Counting and Gambling. Part 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. Part 14 Descriptive Statistics: What Does a Data Set Tell Us?; Organizing and Visualizing Data. |

Responsibility: | Thomas L. Pirnot. |

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