Excursions in Modern Mathematics, 3/e
Peter Tannenbaum, California State University, Fresno
Robert Arnold, California State University, Fresno
Published August, 1997 by Prentice Hall Engineering/Science/Mathematics
Copyright 1998, 588 pp.
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Liberal Arts Mathematics-Mathematics
Appropriate for all undergraduate courses in Liberal Arts
Mathematics, and General Education. A background in Intermediate Algebra
is strongly recommended, but not required.
This collection of excursions into modern mathematics consists
of four independent parts, each consisting of four chapters1)
Social Choice, 2) Management Science, 3) Growth and Symmetry, and
4) Statistics. It is written in an informal, very readable style,
with pedagogical features that make material both interesting and
clear. Coverage centers around an assortment of real-world examples
and applications, demonstrating a more attractive, useful, and modern
coverage of liberal arts mathematics.
NEWA great new look!
NEWChapter opening problems.
- In this edition, great care has been taken to address
the visual impact of the book.
- The design, layout, and art has been reworked to lend
to the new look.
NEWContained in each chapter are Internet
excursions additional problem material linked to the
- Each chapter opener sets the stage for what follows throughout
the chapter. Most chapters have been reorganized to follow the story
line set in the chapter opener.
NEWThis edition contains approximately
10 % more exercises. All exercises are classified in various degrees
In keeping with previous editions, this third edition incorporates
extensive real-world examples.
Topics are carefully chosen to meet the following criteria:
Exercises divided into three levels of difficulty:
gif/subullet.gif = Walking: straight forward applications of the concepts
discussed in the chapter.
gif/subullet.gif = Jogging: exercises that require extra effort and/or
insight on the part of the student.
gif/subullet.gif = Running: exercises that really challenge the students'
ability and understanding.
- Accessibilitydoes not require a heavy mathematical
infrastructure to make material interesting and challenging.
- Applicabilityconnects the mathematics presented
and the real-life problems that motivate it.
- Currencymuch of the material dates within
the last 50 years, and somefractals for instancewithin the
- Aestheticsdevelops an appreciation for mathematics
by combining its elegance with its simplicity.
Includes appendices at the end of several chapters' to present
additional information on a topic.
Accompanies each chapter with an extensive bibliography
for further study.
(Note: Each chapter concludes with a Conclusion, 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 Slice is Right.
4. The Mathematics of Apportionment: Making the Rounds.
II. MANAGEMENT SCIENCE.
5. Euler Circuits: The Circuit Comes to Town.
III. GROWTH AND SYMMETRY.
6. The Traveling-Salesman Problem: Hamilton Joins the
7. The Mathematics of Networks: Connections!
8. The Mathematics of Scheduling: Directed Graphs and
9. Spiral Growth in Nature: Fibonacci Numbers and the
10. The Mathematics of Population Growth: There is Strength
11. Symmetry: Mirror, Mirror, off the Wall . . .
12. Fractal Geometry: Fractally Speaking.
13. Collecting Statistical Data: Censuses, Surveys, and
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.