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Normal 0 false false false MicrosoftInternetExplorer4 Mathematics All Around, Fourth Edition, is the textbook for todayrs"s liberal arts mathematics students. Tom Pirnot presents math in a way that is accessible, interesting, and relevant. Like having a teacher on call, its clear, conversational writing style is enjoyable to read and focuses on helping students understand the math, not just get the correct answers on the test. Useful features throughout the book enable students to become comfortable with thinking about numbers and interpreting the numerical world around them. Problem Solving: Strategies and Principles; Set Theory: Using Mathematics to Classify Objects; Logic: The Study of What's True or False or Somewhere in Between; Graph Theory (Networks): The Mathematics of Relationships; Numeration Systems: Does It Matter How We Name Numbers?; Number Theory and the Real Number System: Understanding the Numbers All Around Us; Algebraic Models: How Do We Approximate Reality?; Modeling with Systems of Linear Equations and Inequalities: What's the Best Way to Do It?; Consumer Mathematics: The Mathematics of Everyday Life; Geometry: Ancient and Modern Mathematics Embrace; Apportionment: How Do We Measure Fairness?; Voting: Using Mathematics to Make Choices; Counting: Just How Many Are There?; Probability: What Are the Chances?; Descriptive Statistics: What a Data Set Tells Us For all readers interested in mathematics.
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
Inductive and Deductive Reasoning
Set Theory: Using Mathematics to Classify Objects
The Language of Sets
Looking Deeper: Infinite Sets
Logic: The Study of What's True or False or Somewhere in Between
Statements, Connectives, and Quantifiers
The Conditional and Biconditional
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
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
The Rational Numbers
The Real Number System
Exponents and Scientific Notation
Looking Deeper: Sequences
Algebraic Models: How Do We Approximate Reality?
Modeling with Linear Equations
Modeling with Quadratic Equations
Exponential Equations and Growth
Proportions and Variation
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
Looking Deeper: The Annual Percentage Rate
Geometry: Ancient and Modern Mathematics Embrace
Lines, Angles, and Circles
Perimeter and Area
Volume and Surface Area
The Metric System and Dimensional Analysi
Table of Contents provided by Publisher. All Rights Reserved.