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Overview
Given their widely varying backgrounds, students in Liberal Arts Math often enter the course with math anxiety. Pirnot’s Mathematics All Around offers the supportive and patient writing style that students need to overcome that apprehension, developing useful skills through realistic applications that can be seen in the world around them. Relevant and approachable, the author’s tone resembles the support students would receive during an instructor’s office hours. The author emphasizes a problem-solving approach, reinforcing problem-solving methods and how to apply them throughout the text. The 6th Edition keeps students engaged with updated real-world applications, while also providing more support as they learn with new measurable objectives, revised exercise sets, significant enhancements to each chapter, as well as a new student Workbook.
Also available with MyLab Math.
MyLabTM Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and engage with media resources to help them absorb course material and understand difficult concepts.
Note: You are purchasing a standalone product; MyLabTM does not come packaged with this content. Students, if interested in purchasing this title with MyLab, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.
If you would like to purchase both the physical text and MyLab, search for:
0134800168 / 9780134800165 Mathematics All Around Plus MyLab Math — Title-Specific Access Card Package, 6/e
Package consists of:
- 0134434684 / 9780134434681 Mathematics All Around
- 0134751744 / 9780134751740 MyLab Math with Pearson eText — Standalone Access Card — for Mathematics All Around
Product Details
| ISBN-13: | 2900134434680 |
|---|---|
| Publication date: | 01/01/2017 |
| Pages: | 888 |
| Product dimensions: | 6.50(w) x 1.50(h) x 9.50(d) |
About the Author
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
(*indicates new content)1. Set Theory: Using Mathematics to Classify Objects.
Problem Solving.
*Estimation.
The Language of Sets.
Comparing Sets.
Set Operations.
Survey Problems.
*Of Further Interest: Infinite Sets.
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.
3. Graph Theory: The Mathematics of Relationships.
Graphs, Puzzles and Map Coloring.
The Traveling Salesperson Problem.
Directed Graphs.
Of Further Interest: Scheduling Projects Using PERT.
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.
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.
6. Algebraic Models: How Do We Approximate Reality?
Linear Equations.
Modeling With Linear Equations.
Modeling with Quadratic Equations.
Exponential Equations and Growth.
*Proportions and Variation.
Of Further Interest: Dynamical Systems.
7. Modeling 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: LinearProgramming.
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.
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.
10. Voting: Using Mathematics to Make Choices.
Voting Methods.
Defects in Voting Methods.
Weighted Voting Systems.
Of Further Interest: The Shapley-Shubik Index.
11. Consumer Mathematics: The Mathematics of Everyday Life.
*Percent.
Interest.
Consumer Loans.
Annuities.
Amortization.
Of Further Interest: The Annual Percentage Rate.
12. Counting: Just How Many Are There?
Introduction to Counting Methods.
The Fundamental Counting Principle.
Permutations and Combinations.
Of Further Interest: Counting and Gambling.
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.
14. Descriptive Statistics: What Does a Data Set Tell Us?
Organizing and Visualizing Data.
Measures of Central Tendency.
Measures of Dispersion.
The Normal Distribution.
Of Further Interest: Linear Correlation.