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Excursions in Modern Mathematics, 5/E
Peter Tannenbaum, California State University, Fresno

ISBN-10: 0131001914
ISBN-13: 9780131001916

Publisher: Pearson
Copyright: 2004
Format: Cloth; 752 pp
Published: 03/21/2003

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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.

Features

NEW - “Profiles”—Incorporates biographical profiles of featured mathematicians at the end of each chapter.
- Humanizes the materials in each chapter and introduces some of the key mathematicians in these fields.

NEW - “Projects and Papers”—Found at the end of chapter problem sets, offers topics for projects and papers appealing to instructors who want their students to do cooperative learning or research papers.
- Provides a great vehicle for explorations and class discussions that students and professors can pursue together.

NEW - Updated problems and examples—Many of the problems and examples have been updated and improved based on reviewer/user feedback.
- Provides updated examples and additional exercises.

Carefully chosen topics—Meet the following criteria:
- Accessibility—the material does not require a heavy mathematical infrastructure.
- Applicability—the presentation connects the mathematics presented and the real-life problems that motivate it.
- Currency—much of the material dates within the last 100 years, and some—fractals for instance—within the last 15.
- Aesthetics—develops an appreciation for mathematics by combining its elegance with its simplicity.

Numerous exercises
- —Over 1500 in total.
- —Exercises are divided into 3 levels of difficulty:
- — Walking : straight forward applications of the concepts discussed in the chapter.
- — Jogging : exercises that require extra effort and/or insight on the part of the student.
- — Running: exercises that really challenge the students' ability and understanding.

Extensive bibliographies—Accompany each chapter.
- Enables student to easily pursue further study.

New To This Edition

“Profiles”—Incorporates biographical profiles of featured mathematicians at the end of each chapter.
- Humanizes the materials in each chapter and introduces some of the key mathematicians in these fields.

“Projects and Papers”—Found at the end of chapter problem sets, offers topics for projects and papers appealing to instructors who want their students to do cooperative learning or research papers.
- Provides a great vehicle for explorations and class discussions that students and professors can pursue together.

Updated problems and examples—Many of the problems and examples have been updated and improved based on reviewer/user feedback.
- Provides updated examples and additional exercises.

Table of Contents

(Note: Each chapter concludes with a Conclusion, Biographical Profile, Exercises, References and Further Readings.)

I. THE MATHEMATICS OF SOCIAL CHOICE.

1. The Mathematics of Voting: The Paradoxes of Democracy.

2. Weighted Voting Systems: The Power Game.

3. Fair Division: The Mathematics of Sharing.

4. The Mathematics of Apportionment: Making the Rounds.

II. MANAGEMENT SCIENCE.

5. Euler Circuits: The Circuit Comes to Town.

6. The Traveling-Salesman Problem: Hamilton Joins the Circuit.

7. The Mathematics of Networks: It's All about Being Connected.

8. The Mathematics of Scheduling: Directed Graphs and Critical Paths.

III. GROWTH AND SYMMETRY.

9. Spiral Growth in Nature: Fibonacci Numbers and the Golden Ratio.

10. The Mathematics of Population Growth: There is Strength in Numbers.

11. Symmetry: Mirror, Mirror, off the Wall…

12. Fractal Geometry: Fractally Speaking.

IV. STATISTICS.

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

14. Descriptive Statistics: Graphing and Summarizing Data.

15. Chances, Probability, and Odds: Measuring Uncertainty.

16. Normal Distributions: Everything is Back to Normal (Almost).

Answers to Selected Problems.

Index.

Photo Credits.

Courses

Quantitative Literacy (Mathematics)
Liberal Arts Mathematics (Mathematics)

Next Edition(s)

Excursions in Modern Mathematics, 7/E
Tannenbaum
©2010 | Pearson | Cloth; 704 pp | Instock
ISBN-10: 0321568036 | ISBN-13: 9780321568038
Net price: $115.00 (What's this?)Brief 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.
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ISBN-10: 0131005588 | ISBN-13: 9780131005587
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Instructor's Solutions Manual (Download only) for Excursions in Modern Mathematics, 5/E
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Companion WebSite - Tannenbaum, 5/E
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Allied Health Study Card, 2/E
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Basic Math Review Card, 2/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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©2004 | Pearson | Website; 0 pp | Live
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Excursions in Modern Mathematics, 5/E