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Mathematics

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

ISBN-10: 0131001914
ISBN-13: 9780131001916

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

Suggested retail price: $126.67
Not available for purchase at this time.

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.

  • 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.

  • “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.

(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.

    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.

  • 0132319136Excursions In Modern Mathematics with Mini-Excursions, 6/E
    Tannenbaum
    © 2007 | Prentice Hall | Cloth; 704 pages | Instock
    ISBN-10: 0132319136 | ISBN-13: 9780132319133
    Brief Description | Buy from myPearsonStore

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For Liberal Arts Mathematics


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