Excursions in Modern Mathematics: Pearson New International Edition

Series
Pearson
Author
Peter Tannenbaum  
Publisher
Pearson
Cover
Softcover
Edition
8
Language
English
Total pages
544
Pub.-date
July 2013
ISBN13
9781292022048
ISBN
1292022043
Related Titles


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9781292022048
Excursions in Modern Mathematics: Pearson New International Edition
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Description

Excursions in Modern Mathematics introduces non-math majors to the power of math by exploring applications like social choice and management science, showing that math is more than a set of formulas. Ideal for an applied liberal arts math course, Tannenbaum’s text is known for its clear, accessible writing style and its unique exercise sets that build in complexity from basic to more challenging.

 

The Eighth Edition offers more real data and applications to connect with today’s students, expanded coverage of applications like growth, and revised exercise sets. MyMathLab exercise sets are expanded and the new Ready To Go MyMathLab course makes course set-up even easier.

 

Features

  • Carefully chosen topics with more real life applications motivate students to get into the math. With chapters categorized by social choice, management science, growth, shape, and form, and statistics, the contents are flexible enough to fit most syllabi for liberal arts math.
  • Tannenbaum’s writing style is clear and consistent, and narration is carefully paced to make the subject accessible to students of all majors. The design is very clean, so students stay focused on the core exposition.
  • Enhanced! Examples in the Eighth Edition integrate more real data and applications.
  • Enhanced! Diverse and extensive exercises appear at the end of chapter and are divided into three levels–Walking, Jogging, and Running. In the Eighth Edition, exercise sets are revised to make it easier for instructors to create assignments and to integrate real data where appropriate.
    • Walking exercises test a basic understanding of the main concepts, and ensure students have mastered the main concepts from the chapter. In the Eighth Edition, these are organized by section number to make it easier for instructors to build assignments.
    • Jogging exercises apply the basic ideas at a higher level of complexity and/or require critical thinking skills.
    • Running exercises will challenge students' ability, and they are revised in this edition to make them less rigorous, yet still challenging.
  • Projects and Papers at the conclusion of each chapter offer ideas for explorations and class discussions.
  • NEW! Key Concepts chart at the end of every chapter makes it easy to study and review.
  • NEW! MyMathLab for the Eighth Edition offers expanded exercise coverage and new features that make the online assessment more closely tied to the text’s approach.
    • Applets, designed by the author, are in MyMathLab to help students visualize the more difficult concepts. These can be assigned as media assignments in MyMathLab. New assignable exercises relate to these, so students explore the concepts and develop their understanding using these applets. Applet annotations appear as margin notes in the text directing students to the MyMathLab course.
    • A Ready To Go MyMathLab Course offers the same robust experience as a standard course, but makes course set-up even easier.

 

New to this Edition

  • Enhanced! Examples in the Eighth Edition integrate more real data and applications.
  • Enhanced! Diverse and extensive exercises appear at the end of chapter and are divided into three levels—Walking, Jogging, and Running.
    • Exercise sets are revised to make it easier for instructors to create assignments and to integrate real data where appropriate
    • Walking exercises are organized by section number to make it easier for instructors to build assignments.
  • MyMathLab for the Eighth Edition offers expanded exercise coverage and new features that make the online assessment more closely tied to the text’s approach.
    • Applets, designed by the author, are in MyMathLab to help students visualize the more difficult concepts. These can be assigned as media assignments in MyMathLab. New assignable exercises relate to these, so students explore the concepts and develop their understanding using these applets. Applet annotations appear as margin notes in the text directing students to the MyMathLab course.
    • A Ready To Go MyMathLab Course offers the same robust experience as a standard course, but makes course set-up even easier.
  • In addition to updates throughout the text, chapter revisions include the following:
    • Population Growth coverage has been expanded and appears in a new chapter 9, Population Growth Models. This chapter discusses sequences and population sequences, the linear growth model, the exponential growth model, and the logistic growth model.
    • Chapter 10, The Mathematics of Finance, has been significantly revised to reflect the way this topic is taught in today’s course.

 

Table of Contents

PART 1. SOCIAL CHOICE

 

1. The Mathematics of Elections: The Paradoxes of Democracy

1.1 The Basic Elements of an Election

1.2 The Plurality Method

1.3 The Borda Count Method

1.4 The Plurality-with-Elimination Method

1.5 The Method of Pairwise Comparisons

1.6 Fairness Criteria and Arrow’s Impossibility Theorem

   Conclusion

   Key Concepts

   Exercises

   Projects and Papers

 

2. The Mathematics of Power: Weighted Voting

2.1 An Introduction to Weighted Voting

2.2 Banzhaf Power

2.3 Shapley-Shubik Power

2.4 Subsets and Permutations

   Conclusion

   Key Concepts

   Exercises

   Projects and Papers

 

3. The Mathematics of Sharing: Fair-Division Games

3.1 Fair-Division Games

3.2 The Divider-Chooser Method

3.3 The Lone-Divider Method

3.4 The Lone-Chooser Method

3.5 The Method of Sealed Bids

3.6 The Method of Markers

   Conclusion

   Key Concepts

   Exercises

   Projects and Papers

 

4. The Mathematics of Apportionment: Making the Rounds

4.1 Apportionment Problems and Apportionment Methods

4.2 Hamilton’s Method

4.3 Jefferson’s Method

4.4 Adams’s and Webster’s Methods

4.5 The Huntington-Hill Method

4.6 The Quota Rule and Apportionment Paradoxes

   Conclusion

   Key Concepts

   Exercises

   Projects and Papers

 

PART 2. MANAGEMENT SCIENCE

 

5. The Mathematics of Getting Around: Euler Paths and Circuits

5.1 Street-Routing Problems

5.2 An Introduction to Graphs

5.3 Euler’s Theorems and Fleury’s Algorithm

5.4 Eulerizing and Semi-Eulerizing Graphs

   Conclusion

   Key Concepts

   Exercises

   Projects and Papers

 

6. The Mathematics of Touring: Traveling Salesman Problems

6.1 What Is a Traveling Salesman Problem?

6.2 Hamilton Paths and Circuits

6.3 The Brute-Force Algorithm

6.4 The Nearest-Neighbor and Repetitive Nearest-Neighbor Algorithms

6.5 The Cheapest-Link Algorithm

   Conclusion

   Key Concepts

   Exercises

   Projects and Papers

   The Mathematics of Networks

 

7. The Cost of Being Connected

7.1 Networks and Trees

7.2 Spanning Trees, MST’s, and MaxST’s

7.3 Kruskal’s Algorithm

   Conclusion

   Key Concepts

   Exercises

   Projects and Papers

 

8. The Mathematics of Scheduling: Chasing the Critical Path

8.1 An Introduction to Scheduling

8.4 Directed Graphs

8.3 Priority-List Scheduling

8.4 The Decreasing-Time Algorithm

8.5 Critical Paths and the Critical-Path Algorithm

   Conclusion

   Key Concepts

   Exercises

   Projects and Papers

 

PART 3. GROWTH

 

9. Population Growth Models: There Is Strength in Numbers

9.1 Sequences and Population Sequences

9.2 The Linear Growth Model

9.3 The Exponential Growth Model

9.4 The Logistic Growth Model

   Conclusion

   Key Concepts

   Exercises

   Projects and Papers

 

10. Financial Mathematics: Money Matters

10.1 Percentages

10.2 Simple Interest

10.3 Compound Interest

10.4 Consumer Debt

   Conclusion

   Key Concepts

   Exercises

   Projects and Papers

 

PART 4. SHAPE AND FORM

 

11. The Mathematics of Symmetry: Beyond Reflection

11.1 Rigid Motions

11.2 Reflections

11.3 Rotations

11.4 Translations

11.5 Glide Reflections

11.6 Symmetries and Symmetry Types

11.7 Patterns

   Conclusion

   Key Concepts

   Exercises

   Projects and Papers

 

12. Fractal Geometry: The Kinky Nature of Nature

12.1 The Koch Snowflake and Self-Similarity

12.2 The Sierpinski Gasket and the Chaos Game

12.3 The Twisted Sierpinski Gasket

13.4 The Mandelbrot Set

   Conclusion

   Key Concepts

   Exercises

   Projects and Papers

 

13. Fibonacci Numbers and the Golden Ratio: Tales of Rabbits and Gnomons

13.1 Fibonacci Numbers

13.2 The Golden Ratio

13.3 Gnomons

13.4 Spiral Growth in Nature

   Conclusion

   Key Concepts

   Exercises

   Projects and Papers

 

PART 5. STATISTICS

 

14. Censuses, Surveys, Polls, and Studies: The Joys of Collecting Data

14.1 Enumeration

14.2 Measurement

14.3 Cause and Effect

   Conclusion

   Key Concepts

   Exercises

   Projects and Papers

 

15. Graphs, Charts, and Numbers: The Data Show and Tell

15.1 Graphs and Charts

15.2 Means, Medians, and Percentiles

15.3 Ranges and Standard Deviations

   Conclusion

   Key Concepts

   Exercises

   Projects and Papers

 

16. Probabilities, Odds, and Expectations: Measuring Uncertainty and Risk

16.1 Sample Spaces and Events

16.2 The Multiplication Rule, Permutations, and Combinations

16.3 Probabilities and Odds

16.4 Expectations

16.5 Measuring Risk

   Conclusion

   Key Concepts

   Exercises

   Projects and Papers

 

Answers to Selected Exercises

Index

Photo Credits