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## Summary

## Author Biography

**Tom Pirnot** received his bachelor's degree in music from Wilkes College and his PhD in mathematics from The Pennsylvania State University. He taught both mathematics and computer science at Kutztown University for thirty eight years. He has long been an innovator in liberal arts mathematics, writing his first text *Mathematics: Tools and Models *with Dalton Hunkins in 1977 which introduced topics such as apportionment, graph theory, and modeling to liberal arts students. His current text, *Mathematics All Around,* is now in its fourth edition. Tom continues to enjoy the loving support and encouragement of his wife Ann, their four children, and three grandchildren.

## Table of Contents

Problem Solving: Strategies and Principles | |

Problem Solving | |

Inductive and Deductive Reasoning | |

Estimation | |

Set Theory: Using Mathematics to Classify Objects | |

The Language of Sets | |

Comparing Sets | |

Set Operations | |

Survey Problems | |

Looking Deeper: Infinite Sets | |

Logic: The Study of What's True or False or Somewhere in Between | |

Statements, Connectives, and Quantifiers | |

Truth Tables | |

The Conditional and Biconditional | |

Verifying Arguments | |

Using Euler Diagrams to Verify Syllogisms | |

Looking Deeper: Fuzzy Logic | |

Graph Theory (Networks): The Mathematics of Relationships | |

Graphs, Puzzles, and Map Coloring | |

The Traveling Salesperson Problem | |

Directed Graphs | |

Looking Deeper: 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 | |

Looking Deeper: 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 | |

Looking Deeper: 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 | |

Functions | |

Looking Deeper: 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 | |

Looking Deeper: Linear Programming | |

Consumer Mathematics: The Mathematics of Everyday Life | |

Percent | |

Interest | |

Consumer Loans | |

Annuities | |

Amortization | |

Personal Finance | |

Looking Deeper: The Annual Percentage Rate | |

Geometry: Ancient and Modern Mathematics Embrace | |

Lines, Angles, and Circles | |

Polygons | |

Perimeter and Area | |

Volume and Surface Area | |

The Metric System and Dimensional Analysi | |

Table of Contents provided by Publisher. All Rights Reserved. |