Mathematics All Around

by Pirnot, Tom

• ISBN13: 9780321567970
• ISBN10: 0321567978
• Edition: 4th
• Format: Hardcover
• Copyright: 2009-01-12
• Publisher: Pearson

Summary

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.

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

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