9780132319133

Excursions in Modern Mathematics with Mini-Excursions

by
  • ISBN13:

    9780132319133

  • ISBN10:

    0132319136

  • Edition: 6th
  • Format: Hardcover
  • Copyright: 1/1/2007
  • Publisher: Prentice Hall
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Summary

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.

Table of Contents

The Mathematics of Social Choice
The Mathematics of Voting: The Paradoxes of Democracy
Weighted Voting Systems: The Power Game
Fair Division: The Mathematics of Sharing
The Mathematics of Apportionment: Making the Rounds
Mini-Excursion 1: A-1: Appointment Today - The Huntington-Hill Method
Management Science
Euler Circuits: The Circuit Comes to Town
The Traveling-Salesman Problem: Hamilton Joins the Circuit
The Mathematics of Networks: The Cost of Being Connected
The Mathematics of Scheduling: Directed Graphs and Critical Paths
Mini-Excursion 2: B-1: A Touch of Color - Graph Coloring
Growth and Symmetry
Spiral Growth in Nature: Fibonacci Numbers and the Golden Ratio
The Mathematics of Population Growth: There is Strength in Numbers
Symmetry: Mirror, Mirror, off the Wallhellip;
Fractal Geometry: Fractally Speaking
Mini-Excursion 3: C-1: The Time Value of Money - Annuities and Loans
Statistics
Collecting Statistical Data: Censuses, Surveys, and Studies
Descriptive Statistics: Graphing and Summarizing Data
Chances, Probability, and Odds: Measuring Uncertainty
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
Table of Contents provided by Publisher. All Rights Reserved.

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