Mathematics

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.

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:
• Example 2,8, The Weirdness of Parliamentary Politics
• Example 4.7 Garbage Time
• Example 5.20 Parade Route
• 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.

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: A-1: Appointment 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: B-1: A Touch of Color - Graph Coloring

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: C-1: The Time Value of Money - Annuities and Loans

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: D-1: The Mathematics of Managing Rick - Expected Value 

Answers to Selected Problems.

Index.

Photo Credits.

Quantitative Literacy  (Mathematics)

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

• 
  Excursions in Modern Mathematics, 7/E
  Tannenbaum
  ©2010 | Prentice Hall | Cloth; 704 pp | Instock
  ISBN-10: 0321568036 | ISBN-13: 9780321568038
  Brief Description | Buy from myPearsonStore

  

  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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©2004 | Prentice Hall | Paper | Out of Stock
ISBN-10: 0321247086 | ISBN-13: 9780321247087

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©2004 | Prentice Hall | Paper | Instock
ISBN-10: 0321247078 | ISBN-13: 9780321247070

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©2006 | Prentice Hall | Study Card | Instock
ISBN-10: 0321394747 | ISBN-13: 9780321394743
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©2008 | Prentice Hall | Multiple Media Package | Instock
ISBN-10: 0321517199 | ISBN-13: 9780321517197

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©2008 | Prentice Hall | Multiple Media Package | Instock
ISBN-10: 032151758X | ISBN-13: 9780321517586

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Pirich & Bigliani
©1997 | Prentice Hall | Paper; 195 pp | Instock
ISBN-10: 0136492037 | ISBN-13: 9780136492030
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©2006 | Prentice Hall | Study Card | Instock
ISBN-10: 0321374398 | ISBN-13: 9780321374394
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Becker
©2004 | Prentice Hall | Paper | Instock
ISBN-10: 0321143094 | ISBN-13: 9780321143099
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Ripley
©2006 | Prentice Hall | Study Card; 6 pp | Instock
ISBN-10: 0321394755 | ISBN-13: 9780321394750
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EduCue, Addison-Wesley & Benjamin Cummings
©2004 | Prentice Hall | Electronic Supplement | Instock
ISBN-10: 0321267354 | ISBN-13: 9780321267351

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©2006 | Prentice Hall | Study Card; 0 pp | Out of Stock
ISBN-10: 0321336542 | ISBN-13: 9780321336545

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©2000 | Prentice Hall | Paper; 48 pp | Instock
ISBN-10: 0201728966 | ISBN-13: 9780201728965
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©2000 | Prentice Hall | Paper | Instock
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Pearson TI Rebate Coupon $15, 2/E
Pearson Education
©2009 | Prentice Hall | Paper | Instock
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©2002 | Prentice Hall | Paper; 224 pp | Instock
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Pearson Education
©2009 | Prentice Hall | Multiple Media Package | Estimated Availability : 09/01/2008
ISBN-10: 0321561880 | ISBN-13: 9780321561886

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Leonarte
©2007 | Prentice Hall | Study Card | Instock
ISBN-10: 0321438582 | ISBN-13: 9780321438584
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Stand-alone Access Code Tutor Center
Addison-Wesley
©2008 | Prentice Hall | Access Code Card | Instock
ISBN-10: 0201721708 | ISBN-13: 9780201721706
URL:  http://www.aw-bc.com/tutorcenter
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