Math in Society

Study overview of the reviewed opening

Lippman’s preface challenges the impression that mathematics consists mainly of manipulating algebraic expressions. The text instead offers several kinds of mathematical reasoning through topics with applications in ordinary life. A mathematical problem may call for a graph, an algorithm, a statistical account or another form of representation.

The discussion of editions explains that classroom use shaped revisions. Core concepts and definitions received greater emphasis, examples were expanded and opportunities for immediate practice were added. The author describes these practice tasks as low stakes, giving students a way to test understanding before a more formal assessment.

The verified contents include voting, apportionment, fair division, graph theory, scheduling, growth, finance, statistics, probability, counting, fractals, cryptography and logic. These topics provide a broad reading map rather than a chapter-by-chapter summary. The overview covers the preface and edition notes. It does not reproduce the exercises or present the financial examples as current financial recommendations.

Book contents

1. Problem Solving
2. Voting Theory
3. Weighted Voting
4. Apportionment
5. Fair Division
6. Graph Theory
7. Scheduling
8. Growth Models
9. Finance
10. Statistics
11. Describing Data
12. Probability
13. Sets
14. Historical Counting Systems
15. Fractals
16. Cryptography
17. Logic

Questions for study

The following prompts are Academic Master’s editorial material.

• When might a graphical or algorithmic approach be more useful than algebra?
• How can low-stakes practice help locate a misunderstanding?
• What makes a mathematical model useful for an everyday decision?

Sources and coverage

Preface and edition notes read in full (PDF page 4); author context and complete topic contents checked.

Source edition · Source licence