9780321836991

Mathematics All Around

by
  • ISBN13:

    9780321836991

  • ISBN10:

    0321836995

  • Edition: 5th
  • Format: Hardcover
  • Copyright: 12/21/2012
  • Publisher: Pearson

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Supplemental Materials

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  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.
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Summary

Pirnot's Mathematics All Aroundoffers the supportive and clear writing style that you need to develop your math skills. By helping to reduce your math anxiety, Pirnot helps you to understand the use of math in the world around you. You appreciate that the author's approach is like the help you would receive during your own instructors' office hours. The Fifth Editionincreases the text's emphasis on developing problem-solving skills with additional support in the text and new problem-solving questions in MyMathLab. Quantitative reasoning is brought to the forefront with new Between the Numbers features and related exercises. Since practice is the key to success in this course, exercise sets are updated and expanded. MyMathLab offers additional exercise coverage plus new question types for problem-solving, vocabulary, reading comprehension, and more.

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

1. Problem Solving

1.1 Problem Solving

1.2 Inductive and Deductive Reasoning

1.3 Estimation

 

2. Set Theory

2.1 The Language of Sets

2.2 Comparing Sets

2.3 Set Operations

2.4 Survey Problems

2.5 Looking Deeper - Infinite Sets

 

3. Logic

3.1 Statements, Connectives, and Quantifiers

3.2 Truth Tables

3.3 The Conditional and Biconditional

3.4 Verifying Arguments

3.5 Using Euler Diagrams to Verify Syllogisms

3.6 Looking Deeper - Fuzzy Logic

 

4. Graph Theory (Networks)

4.1 Graphs, Puzzles, and Map Coloring

4.2 The Traveling Salesperson Problem

4.3 Directed Graphs

 

5. Numeration Systems

5.1 The Evolution of Numeration Systems

5.2 Place Value Systems

5.3 Calculating in Other Bases

5.4 Looking Deeper - Modular Systems

 

6. Number Theory and the Real Number System

6.1 Number Theory

6.2 The Integers

6.3 The Rational Numbers

6.4 The Real Number System

6.5 Exponents and Scientific Notation

6.6 Looking Deeper - Sequences

 

7. Algebraic Models and Linear Systems

7.1 Linear Equations

7.2 Modeling with Linear Equations

7.3 Modeling with Quadratic Equations

7.4 Exponential Equations and Growth

7.5 Proportions and Variations

7.6 Modeling with Systems of Linear Equations and Inequalities

7.7 Looking Deeper - Dynamical Systems

 

8. Consumer Mathematics

8.1 Percents, Taxes, and Inflation

8.2 Interest

8.3 Consumer Loans

8.4 Annuities

8.5 Amortization

8.6 Looking Deeper - Annual Percentage Rate

 

9. Geometry

9.1 Lines, Angles, and Circles

9.2 Polygons

9.3 Perimeter and Area

9.4 Volume and Surface Area

9.5 The Metric System and Dimensional Analysis

9.6 Geometric Symmetry and Tessellations

9.7 Looking Deeper - Fractals

 

10. Apportionment

10.1 Understanding Apportionment

10.2 The Huntington-Hill Apportionment Principle

10.3 Other Paradoxes and Apportionment Methods

10.4 Looking Deeper - Fair Division

 

11. Voting

11.1 Voting Methods

11.2 Defects in Voting Methods

11.3 Weighted Voting Systems

11.4 Looking Deeper - The Shapley-Shubik Index

 

12. Counting

12.1 Introduction to Counting Methods

12.2 The Fundamental Counting Principle

12.3 Permutations and Combinations

12.4 Looking Deeper - Counting and Gambling

 

13. Probability

13.1 The Basics of Probability Theory

13.2 Complements and Unions of Events

13.3 Conditional Probability and Intersections of Events

13.4 Expected Value

13.5 Looking Deeper - Binomial Experiments

 

14. Descriptive Statistics

14.1 Organizing and Visualizing Data

14.2 Measures of Central Tendency

14.3 Measures of Dispersion

14.4 The Normal Distribution

14.5 Looking Deeper - Linear Correlation

 

Appendix A. Basic Mathematics Review

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