A Mathematical View of Our World

A MATHEMATICAL VIEW OF OUR WORLD helps students understand and harness the power of mathematics in their present studies and future careers. Designed for a liberal arts mathematics course that has a strong focus on applications, this student-friendly textbook helps students see the beauty and power of mathematics as it is applied to the world around them. Recognizing that quantitative literacy is essential in an increasing number of professional fields as well as in the daily decision-making and communication of informed citizens, the book develops students' mathematical self-confidence and prepares them to use mathematics in the future. In writing the book, the authors endeavored to be faithful to the recommendations of such professional mathematics associations as the MAA, AMATYC, and NCTM. Overall, students will recognize the connections, patterns, and significance of the mathematics they study, and see that mathematics has a meaningful place in their lives.

Numbers in Our Lives
Identification Numbers and Check Digits
Modular Arithmetic and Check Digit Schemes
Encoding Data
Shapes in Our Lives
Tilings
Symmetry, Rigid Motions, and Escher Patters
Fibonacci Numbers and the Golden Mean - Shapes in Nature
Voting and Elections
Voting Systems
Flaws of the Voting Systems
Weighted Voting Systems
Fair Division
Divide and Choose Methods
Discrete and Mixed Division Problems
Envy-Free Division
Apportionment
The Apportionment Problem - Quota Methods
The Apportionment Problem - Divisor Methods
Flaws of the Apportionment Methods
Routes and Networks
Routing Problems
Network Problems
The Traveling Salesperson Problem
Scheduling
Basic Concepts of Scheduling
The List-Processing Algorithm and the Decreasing-Time Algorithm
The Critical-Path Algorithm
Descriptive Statistics - Data and Patterns
Organizing and Picturing Data
Comparisons
Enhancement, Distraction, and Distortion
Collecting and Interpreting Data
Populations, Samples, and Data
Survey Sampling Methods
Measures of Central Tendency and Variability
Probability
Computing Probabilities in Simple Experiments
Computing Probabilities in Multistage Experiments
Conditional Probability, Expected Value, and Odds
Inferential Statistics
Normal Distributions
Applications of Normal Distributions
Confidence Intervals and Reliable Estimation
Growth And Decay
Malthusian Population Growth
Population Decrease, Radioactive Decay
Logistic Population Models
Consumer Mathematics--Buying and Saving
Simple and Compound Interest
Loans
Buying a House.
Table of Contents provided by Publisher. All Rights Reserved.

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A Mathematical View of Our World

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Table of Contents

Supplemental Materials