Excursions in Modern Mathematics
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Excursions in Modern Mathematics

Excursions in Modern Mathematics


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About the Book

Excursions in Modern Mathematics introduces you 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 readesr, expanded coverage of applications like growth, and revised exercise sets.

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   17. The Mathematics of Normality: The Call of the Bell 17.1 Approximately Normal Data Sets 17.2 Normal Curves and Normal Distributions 17.3 Modeling Approximately Normal Distributions 17.4 Normality in Random Events    Conclusion    Key Concepts    Exercises    Projects and Papers   Answers to Selected Exercises Index Photo Credits

About the Author :
Peter Tannenbaum earned his bachelor's degrees in Mathematics and Political Science and his PhD in Mathematics from the University of California–Santa Barbara. He has held faculty positions at the University of Arizona, Universidad Simon Bolivar (Venezuela), and is professor emeritus of mathematics at the California State University–Fresno. His research examines the interface between mathematics, politics, and behavioral economics. He has been involved in mathematics curriculum reform and teacher preparation. His hobbies are travel, foreign languages and sports. He is married to Sally Tannenbaum, a professor of communication at CSU Fresno, and is the father of three (twin sons and a daughter).


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Product Details
  • ISBN-13: 9780321825735
  • Publisher: Pearson Education (US)
  • Publisher Imprint: Pearson
  • Height: 276 mm
  • No of Pages: 608
  • Width: 216 mm
  • ISBN-10: 032182573X
  • Publisher Date: 10 Jan 2013
  • Binding: Hardback
  • Language: English
  • Weight: 1200 gr


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