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Excursions in Modern Mathematics, 6/E
Peter Tannenbaum

ISBN-10: 0131873636
ISBN-13: 9780131873636

Publisher: Prentice Hall
Copyright: 2007
Format: Cloth; 640 pp
Status: Out of Print

Suggested retail price: $118.67
This item is out of print and is no longer available for purchase.



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

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.

Features

  • Approximately 250 tried and tested examples —serve to motivate the concepts that are being presented and that engage the student.
  • Diverse and extensive exercises
    • Over 1500 in total.
    • Exercises are divided into 3 levels of difficulty to provide instructors with greater ease and flexibility in assigning homework.
    • 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
  • Carefully chosen topics to motivate the math–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 25
    • Aesthetics–develops an appreciation for mathematics by combining its elegance with its simplicity.
  •  “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.
  • “Profiles”–16 biographical profiles of featured mathematicians that appear at the end of each chapter. [e.g., Kenneth Arrow (Chapter 1), Roger Penrose (Chapter 11), Benoit Mandelbrot (Chapter 12)]
    • Humanizes the materials in each chapter and gives a glimpse of the human aspects of mathematical discovery.
  • Extensive bibliographies–Accompany each chapter.
    • Enables student to easily pursue further study.

 

  • NEW — Mini-Excursions–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.
    • Mini-Excursion 1. Apportionment Today: The Huntington-Hill Method.
    • Mini-Excursion 2. A Touch of Color: Graph Coloring and Matching.
    • Mini-Excursion 3. The Time Value of Money: Annuities.
    • Mini-Excursion 4. The Cost of Risk-Taking: Expected Value.
  • NEW — Marginal Comments–This feature includes sidebars, quotations, parenthetical remarks, and suggestions to the reader (including exercises to try at a given moment). The marginal comments are meant to further the informal conversational tone of the presentation and to reinforce the concepts being presented.
  • NEW -- Approximately 25% of the exercises are either new or have been updated. Many of the updated exercises include new data and have been modified to respond to reviewer suggestions.
  • NEW — Approximately 15% of the examples have been updated and improved.  New ones include:

o         Example 2,8, The Weirdness of Parliamentary Politics

o         Example 4.7 Garbage Time

o         Example 5.20 Parade Routes

            Example 7.3 Connect the Dots

  • NEW – Polished exposition and organization.
    •     Chapter 7: New “spin” on the treatment. Usage of networks, in place of trees.
    • More consistent treatment of the procedural elements (rules, formula’s, algorithms) so that they are more evident to the reader.

(Note: Each chapter includes a Chapter Opener that includes an outline of the chapter, a Conclusion, a list of Key Terms, , Exercises, a Biographical Note, and References and Further Readings.)

PART 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.

 

Mini-Excursion 1. Apportionment Today: The Huntington-Hill Method.

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: The Cost of Being Connected.

 

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

 

Mini-Excursion 2. A Touch of Color: Graph Coloring and Matching.

 

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.

 

Mini-Excursion 3. The Time Value of Money: Annuities.

 

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).

 

Mini-Excursion 4. The Cost of Risk-Taking: Expected Value.

 

Answers to Selected Problems.

 

Index.

 

Photo Credits.

    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.

  • 0131001914Excursions in Modern Mathematics, 5/E
    Tannenbaum
    © 2004 | Prentice Hall | Cloth; 752 pages | Instock
    ISBN-10: 0131001914 | ISBN-13: 9780131001916
    Brief Description

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  Download Tannenbaum Errata

For Liberal Arts Mathematics


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