Pearson - Excursions in Modern Mathematics, 7/E

In this section:

Description

Excursions in Modern Mathematics, Seventh Edition, shows readers that math is a lively, interesting, useful, and surprisingly rich subject. With a new chapter on financial math and an improved supplements package, this book helps students appreciate that math is more than just a set of classroom theories: math can enrich the life of any one who appreciates and knows how to use it.

Features

Carefully chosen topics motivate the math. The table of contents remains accessible and relevant to students by showing the beauty of math through its elegance and simplicity.
Diverse and extensive exercises are divided into three levels of difficulty–Walking, Jogging, and Running–to provide instructors with ease and flexibility in creating the most appropriate homework assignments.
Biographical Profiles at the end of every chapter offer a glimpse into the human aspects of mathematical discovery.
Projects and Papers at the conclusion of each chapter offer ideas for explorations and class discussions that students and professors can pursue together.

New To This Edition

Chapter 10, The Mathematics of Money, introduces some of the basic concepts of financial mathematics in a style consistent with this book's overall approach and philosophy. Topics include simple and compound interest, annuities and installment loans, and more.
Chapter 9, The Mathematics of Spiral Growth in Nature, now includes an expanded discussion of Fibonacci sequences and their properties.
An all-new Mini-Excursion 3, The Mathematics of Population Growth, includes a discussion of linear, exponential, and logistic growth.
Approximately 25% of the exercises and examples in the text are new or revised from the previous edition.
A new Instructor's Edition provides answers for all exercises in the back of the text.
An Insider’s Guide to teaching with this text provides helpful teaching tips, advice, and classroom resources that will be useful for both new and experienced instructors.
An online test bank provides four test forms for each chapter, two in multiple-choice format, and two free-response.
The media package includes a new MyMathLab course for this text, featuring great new videos to get students engaged in the material.

Table of Contents

Part 1. The Mathematics of Social Choice

1. The Mathematics of Voting: The Paradox of Democracy

1.1 Preference Ballots and Preference Schedules

1.2 The Plurality Method

1.3 The Borda Count Method

1.4 The Plurality-with-Elimination Method (Instant Runoff Voting)

1.5 The Method of Piecewise Comparisons

1.6 Rankings

Profile: Kenneth J. Arrow

Key Concepts

Exercises

Projects and Papers

References and Further Readings

2. The Mathematics of Power: Weighted Voting

2.1 An Introduction to Weighted Voting

2.2 The Banzhaf Power Index

2.3 Applications of the Banzhaf Power Index

2.4 The Shapely-Shubik Power Index

2.5 Applications of the Shapely-Shubik Power Index

Profile: Lloyd S. Shapely

Key Concepts

Exercises

Projects and Papers

References and Further Readings

3. The Mathematics of Sharing: Fair-Division Games

3.1 Fair-Division Games

3.2 Two Players: The Divider-Chooser Method

3.3 The Lone-Divider Method

3.4 The Lone-Chooser Method

3.5 The Last-Diminisher Method

3.6 The Method of Sealed Bids

3.7 The Method of Markers

Profile: Hugo Steinhaus

Key Concepts

Exercises

Projects and Papers

References and Further Readings

4. The Mathematics of Apportionment: Making the Rounds

4.1 Apportionment Problems

4.2 Hamilton's Method and the Quota Rule

4.3 The Alabama and Other Paradoxes

4.4 Jefferson's Method

4.5 Adams's Method

4.6 Webster's Method

Historical Note: A Brief History of Apportionment in the United States

Key Concepts

Exercises

Projects and Papers

References and Further Readings

Mini-Excursion 1: Apportionment Today

Part 2. Management Science

5. The Mathematics of Getting Around: Euler Paths and Circuits

5.1 Euler Circuit Problems

5.2 What is a Graph?

5.3 Graph Concepts and Terminology

5.4 Graph Models

5.5 Euler's Theorems

5.6 Fleury's Algorithm

5.7 Eulerizing Graphs

Profile: Leonard Euler

Key Concepts

Exercises

Projects and Papers

References and Further Readings

6. The Mathematics of Touring: The Traveling Salesman Problem

6.1 Hamilton Circuits and Hamilton Paths

6.2 Complete Graphs

6.3 Traveling Salesman Problems

6.4 Simple Strategies for Solving TSPs

6.5 The Brute-Force and Nearest-Neighbor Algorithms

6.6 Approximate Algorithms

6.7 The Repetitive Nearest-Neighbor Algorithm

6.8 The Cheapest Link Algorithm

Profile: Sir William Rowan Hamilton

Key Concepts

Exercises

Projects and Papers

References and Further Readings

7. The Mathematics of Networks: The Cost of Being Connected

7.1 Trees

7.2 Spanning Trees

7.3 Kruskal's Algorithm

7.4 The Shortest Network Connecting Three Points

7.5 Shortest Networks for Four or More Points

Profile: Evangelista Torricelli

Key Concepts

Exercises

Projects and Papers

References and Further Readings

8. The Mathematics of Scheduling: Chasing the Critical Path

8.1 The Basic Elements of Scheduling

8.2 Directed Graphs (Digraphs)

8.3 Scheduling with Priority Lists

8.4 The Decreasing-Time Algorithm

8.5 Critical Paths

8.6 The Critical-Path Algorithm

8.7 Scheduling with Independent Tasks

Profile: Ronald L. Graham

Key Concepts

Exercises

Projects and Papers

References and Further Readings

Mini-Excursion 2: A Touch of Color

Part 3. Growth And Symmetry

9. The Mathematics of Spiral Growth: Fibonacci Numbers and the Golden Ratio

9.1 Fibonacci's Rabbits

9.2 Fibonacci Numbers

9.3 The Golden Ratio

9.4 Gnomons

9.5 Spiral Growth in Nature

Profile: Leonardo Fibonacci

Key Concepts

Exercises

Projects and Papers

References and Further Readings

10. The Mathematics of Money: Spending it, Saving It, and Growing It

10.1 Percentages

10.2 Simple Interest

10.3 Compound Interest

10.4 Geometric Sequences

10.5 Deferred Annuities: Planned Savings for the Future

Key Concepts

Exercises

Projects and Papers

References and Further Readings

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 Symmetry as a Rigid Motion

11.7 Patterns

Profile: Sir Roger Penrose

Key Concepts

Exercises

Projects and Papers

References and Further Readings

12. The Geometry of Fractal Shapes: Naturally Irregular

12.1 The Koch Snowflake

12.2 The Sierpinski Gasket

12.3 The Chaos Game

12.4 The Twisted Sierpinski Gasket

12.5 The Mandelbrot Set

Profile: Benoit Mandelbrot

Key Concepts

Exercises

Projects and Papers

References and Further Readings

Mini-Excursion 3: The Mathematics of Population Growth: There is Strength in Numbers

Part 4. Statistics

13. Collecting Statistical Data: Censuses, Surveys, and Clinical Studies

13.1 The Population

13.2 Sampling

13.3 Random Sampling

13.4 Sampling: Terminology and Key Concepts

13.5 The Capture-Recapture Method

13.6 Clinical Studies

Profile: George Gallup

Key Concepts

Exercises

Projects and Papers

References and Further Readings

14. Descriptive Statistics: Graphing and Summarizing Data

14.1 Graphical Descriptions of Data

14.2 Variables

14.3 Numerical Summaries of Data

14.4 Measures of Spread

Profile: W. Edwards Deming

Key Concepts

Exercises

Projects and Papers

References and Further Readings

15. Chances, Probabilities, and Odds: Measuring Uncertainty

15.1 Random Experiments and Sample Spaces

15.2 Counting Outcomes in Sample Spaces

15.3 Permutations and Combinations

15.4 Probability Spaces

15.5 Equiprobable Spaces

15.6 Odds

Profile: Persi Diaconis

Key Concepts

Exercises

Projects and Papers

References and Further Readings

16. The Mathematics of Normal Distributions: The Call of the Bell

16.1 Approximately Normal Distributions of Data

16.2 Normal Curves and Normal Distributions

16.3 Standardizing Normal Data

16.4 The 68-95-99.7 Rule

16.5 Normal Curves as Models of Real-Life Data Sets

16.6 Distributions of Random Events

16.7 Statistical Inference

Profile: Carl Friedrich Gauss

Key Concepts

Exercises

Projects and Papers

References and Further Readings

Mini-Excursion 4: The Mathematics of Managing Risk

Courses

Quantitative Literacy (Mathematics)
Liberal Arts Mathematics (Mathematics)

Previous Edition(s)

Excursions in Modern Mathematics, 5/E
Tannenbaum
©2004 | Pearson | Cloth; 752 pp | Instock
ISBN-10: 0131001914 | ISBN-13: 9780131001916
Suggested retail price: $153.33 Net price: $115.00 (What's this?)Brief Description |

For undergraduate courses in Liberal Arts Mathematics, Quantitative Literacy, and General Education.

This collection of “excursions” into modern mathematics is organized into four independent parts, each consisting of four chapters—1) Social Choice, 2) Management Science, 3) Growth and Symmetry, and 4) Statistics. The book is written in an informal, very readable style, with pedagogical features that make the material both interesting and clear. Coverage centers on an assortment of real-world examples and applications, demonstrating the usefulness, relevance, and attractiveness of liberal arts mathematics.
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Excursions In Modern Mathematics with Mini-Excursions, 6/E
Tannenbaum
©2007 | Pearson | Cloth; 704 pp | Out of Print
ISBN-10: 0132319136 | ISBN-13: 9780132319133
Brief Description |
For undergraduate courses in Liberal Arts Mathematics, Quantitative Literacy, and General Education.

NEW: Now with “Mini-Excursions” Included!

These are enrichment topics that have been added at the end of each part and require an understanding of the core material covered in one or more of the chapters. Shorter than a full chapter but much more substantive than an appendix. Each mini-excursion includes its own exercise set.

This very successful liberal arts mathematics textbook is a collection of “excursions” into the real-world applications of modern mathematics. The excursions are organized into four independent parts: 1) The Mathematics of Social Choice, 2) Management Science, 3) Growth and Symmetry, and 4) Statistics. Each part consists of four chapters plus a mini-excursion (new feature in 6/e). The book is written in an informal, very readable style, with pedagogical features that make the material both interesting and clear. The presentation is centered on an assortment of real-world examples and applications specifically chosen to illustrate the usefulness, relevance, and beauty of liberal arts mathematics.
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In this section:

Author Bios

Peter Tannenbaum has bachelor's degrees in Mathematics and Political Science and a Ph. D. in Mathematics, all from the University of California, Santa Barbara. He has held faculty positions at the University of Arizona, Universidad Simon Bolivar (Venezuela), and is currently professor of mathematics at the California State University, Fresno. His current research interests are in the interface between mathematics, politics and behavioral economics. He is also involved in mathematics curriculum reform and teacher preparation. His hobbies are travel, foreign languages and sports. He is married to Sally Tannenbaum, a professor of communication at CSU Fresno, and is the father of three (twin sons and a daughter).

Websites and Online Courses

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MathXL -- Instant Access -- for Excursions in Modern Mathematics, 7/E
Tannenbaum
©2010 | Pearson | Website | Live
ISBN-10: 0321575210 | ISBN-13: 9780321575210
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MyMathLabPlus for Excursions in Modern Mathematics, 7/E
Tannenbaum
©2010 | Pearson | Website; 704 pp | Live
ISBN-10: 0321690400 | ISBN-13: 9780321690401
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For the Mathematics Discipline

Insider's Guide for Excursions in Modern Mathematics, 7/E
Tannenbaum
©2010 | Pearson | Paper; 120 pp | Instock
ISBN-10: 0321576209 | ISBN-13: 9780321576200

Instructor's Solutions Manual for Excursions in Modern Mathematics, 7/E
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ISBN-10: 0321575164 | ISBN-13: 9780321575166

Instructor's Testing Manual (Download only) for Excursions in Modern Mathematics, 7/E
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Annotated Instructor's Edition for Excursions in Modern Mathematics, 7/E
Tannenbaum
©2010 | Pearson | Cloth; 732 pp | Instock
ISBN-10: 0321565088 | ISBN-13: 9780321565082
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MyMathLabPlus for Excursions in Modern Mathematics, 7/E
Tannenbaum
©2010 | Pearson | Website; 704 pp | Live
ISBN-10: 0321690400 | ISBN-13: 9780321690401
Online purchase price: $92.00More Info

MyMathLabPlus for Excursions in Modern Mathematics, 7/E
Tannenbaum
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ISBN-10: 0321690400 | ISBN-13: 9780321690401
Online purchase price: $92.00More Info

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Student Resource Guide for Excursions in Modern Mathematics, 7/E
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Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
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Graphing Calculator Tutorial CD
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Prealgebra Review Workbook
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Spanish Basic Math Study Card
Leonarte
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MyMathLabPlus for Excursions in Modern Mathematics, 7/E
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©2010 | Pearson | Website; 704 pp | Live
ISBN-10: 0321690400 | ISBN-13: 9780321690401
Online purchase price: $92.00More Info

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Excursions in Modern Mathematics, CourseSmart eTextbook, 7/E
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