Excursions in Modern Mathematics, 10th edition

  • Peter Tannenbaum

Choose the option that's right for you

$9.99 / mo

4-month term, pay monthly or pay $39.96

Enjoy these features

  • Up to 2 devices
  • Discounted tutor access
  • Exclusive offers

$14.99 / mo

4-month term, pay monthly or pay $59.96

Enjoy these features

  • Up to 2 devices
  • Discounted tutor access
  • Exclusive offers

Learn more, spend less

  • Watch and learn

    Videos & animations bring concepts to life

  • Listen on the go

    Learn how you like with full eTextbook audio

  • Learn anytime, anywhere

    Get the app to access your eTextbook whenever you need it

  • Make it your own

    Your notes. Your highlights. Your eTextbook

  • Find it fast

    Quickly navigate your eTextbook with search


Excursions in Modern Mathematics helps you develop an appreciation for the aesthetics and applicability of mathematics. Contemporary topics ranging from COVID-19 to election polling demonstrate that math is a usable tool, applicable and interesting for anyone.

Published by Pearson (June 29th 2021) - Copyright © 2022

ISBN-13: 9780137423354

Subject: Liberal Arts Math

Category: Liberal Arts Math

Table of contents

1. The Mathematics of Elections: The Paradoxes of Democracy
1.1 The Basic Elements of an Election
1.2 The Plurality Method
1.3 The Borda Count Method
1.4 The Plurality-with-Elimination Method
1.5 The Method of Pairwise Comparisons
1.6 Fairness Criteria and Arrow's Impossibility Theorem
Key Concepts

2. The Mathematics of Power: Weighted Voting
2.1 An Introduction to Weighted Voting
2.2 Banzhaf Power
2.3 Shapley-ShubikPower
2.4 Subsets and Permutations
Key Concepts

3. The Mathematics of Sharing: Fair-Division Games
3.1 Fair-Division Games
3.2 The Divider-Chooser Method
3.3 The Lone-Divider Method
3.4 The Lone-Chooser Method
3.5 The Method of Sealed Bids
3.6 The Method of Markers
Key Concepts

4. The Mathematics of Apportionment: Making the Rounds

4.1 Apportionment Problems and Apportionment Methods
4.2 Hamilton's Method
4.3 Jefferson's Method
4.4 Adams's and Webster's Methods
4.5 The Huntington-Hill Method
4.6 The Quota Rule and Apportionment Paradoxes
Key Concepts

5. The Mathematics of Getting Around: Euler Paths and Circuits
5.1 Street-Routing Problems
5.2 An Introduction to Graphs
5.3 Euler's Theorems and Fleury's Algorithm
5.4Eulerizingand Semi-EulerizingGraphs
Key Concepts

6. The Mathematics of Touring: Traveling Salesman Problems
6.1 What Is a Traveling Salesman Problem?
6.2 Hamilton Paths and Circuits
6.3 The Brute-Force Algorithm
6.4 The Nearest-Neighbor and Repetitive Nearest-Neighbor Algorithms
6.5 The Cheapest-Link Algorithm
Key Concepts

7. The Mathematics of Networks: The Cost of Being Connected
7.1 Networks and Trees
7.2 Spanning Trees, MSTs, andMaxSTs
7.3 Kruskal's Algorithm
Key Concepts

8. The Mathematics of Scheduling: Chasing the Critical Path
8.1 An Introduction to Scheduling
8.2 Directed Graphs
8.3 Priority-List Scheduling
8.4 The Decreasing-Time Algorithm
8.5 Critical Paths and the Critical-Path Algorithm
Key Concepts

9. Population Growth Models: There Is Strength in Numbers
9.1 Sequences and Population Sequences
9.2 The Linear Growth Model
9.3 The Exponential Growth Model
9.4 The Logistic Growth Model
Key Concepts

10. Financial Mathematics: Money Matters
10.1 Percentages
10.2 Simple Interest
10.3 Compound Interest
10.4 Retirement Savings
10.5 Consumer Debt
Key Concepts

11. The Mathematics of Symmetry: Beyond Reflection
11.1 Rigid Motions
11.2 Reflections
11.3 Rotations
11.4 Translations
11.5 Glide Reflections
11.6 Symmetries and Symmetry Types
11.7 Patterns
Key Concepts

12. Fractal Geometry: The Kinky Nature of Nature
12.1 The Koch Snowflake and Self-Similarity
12.2 The Sierpinski Gasket and the Chaos Game
12.3 The Twisted Sierpinski Gasket
12.4 The Mandelbrot Set
Key Concepts

13. Fibonacci Numbers and the Golden Ratio: Tales of Rabbits and Gnomons
13.1 Fibonacci Numbers
13.2 The Golden Ratio
13.3 Gnomons
13.4 Spiral Growth in Nature
Key Concepts

14.Censuses, Surveys, Polls, and Studies: The Joys of Collecting Data
14.1 Enumeration
14.2 Measurement
14.3 Cause and Effect
Key Concepts

15. Graphs, Charts, and Numbers: The Data Show and Tell
15.1 Graphs and Charts
15.2 Means, Medians, and Percentiles
15.3 Ranges and Standard Deviations
Key Concepts

16. Probabilities, Odds, and Expectations: Measuring Uncertainty and Risk
16.1 Sample Spaces and Events
16.2 The Multiplication Rule, Permutations, and Combinations
16.3 Probabilities and Odds
16.4 Expectations
16.5 Measuring Risk
Key Concepts

17. The Mathematics of Normality: The Call of the Bell
17.1 Approximately Normal Data Sets
17.2 Normal Curves and Normal Distributions
17.3 Modeling Approximately Normal Distributions
17.4 Normality in Random Events
Key Concepts
Answers to Selected Exercises
Index of Applications

Your questions answered

Introducing Pearson+. Reimagined learning, designed for you. Choose from one eTextbook or over 1,500 eTextbooks and study tools, all in one place, for one low monthly subscription. A new way to buy books that fits your budget. Make the most of your study time with offline access, enhanced search, notes and flashcards — to get organized, get the work done quicker and get results. Plus, with the app, put textbooks in your pocket and learn wherever. It's time to upgrade the textbook and simplify learning, so you can have time to live too.

Pearson eTextbook is an easy-to-use digital textbook available from Pearson+. Make it your own by adding notes and highlights. Download the Pearson+ mobile app to learn on the go, even offline. Listen on the go with our new audiobook feature, available for most titles.

When you choose a plan, you're signing up for a 4-month 'term'. You can opt to make a one-time payment for the initial 4-month term or pay monthly. If you opt for monthly payments, we will charge your payment method each month until your 4-month term has ended. You can turn on auto-renew in My account at any time to continue your subscription before your 4-month term has ended.

When you purchase a Pearson+ subscription, it will last 4 months. Before your initial 4-month term ends, you can extend your subscription by turning auto-renew on in My account.

If you turn auto-renew on, we’ll automatically renew your subscription and charge you every month until you turn off auto-renew. If you made a one-time payment for your initial 4-month term, you’ll now pay monthly.

To avoid the next payment charge, make sure you turn auto renewal off 1 day before the auto renewal date. You can subscribe again after auto-renew has been turned off by purchasing another Pearson+ subscription. We use your credit card to renew your subscription automatically. To make sure your learning is uninterrupted, please check your card details before your first monthly payment.

With a Multi Pearson+ subscription plan, you can download up to 10 titles on the Pearson+ app from My list on each of your authorized devices every month.

When you're using your Multi Pearson+ subscription plan in a browser, you can select and read from as many titles as you like.