Excursions in Modern Mathematics 8th Edition Tannenbaum Test Bank

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Product Details:

• ISBN-10 ‏ : ‎ 032182573X
• ISBN-13 ‏ : ‎ 978-0321825735
• Author:  Peter Tannenbaum

Table of Content:

PART 1 THE MATHEMATICS OF SOCIAL CHOICE
Chapter 1. The Mathematics of Voting: The Paradox of Democracy
Preference Ballots and Preference Schedules
The Plurality Method
The Borda Count Method
The Plurality-with-Elimination Method (Instant Runoff Voting)
The Method of Piecewise Comparisons
Rankings
Profile: Kenneth J. Arrow
Key Concepts
Exercises
Projects and Papers
References and Further Readings
Chapter 2. The Mathematics of Power: Weighted Voting Systems
	2.1 An Introduction to Weighted Voting
	2.2 The Banzhaf Power Index
	2.3 Applications of the Banzhaf Power Index
	2.4 The Shapely-Shubik Power Index
	2.5 Applications of the Shapely-Shubik Power Index
Profile: Lloyd S. Shapely
Key Concepts
Exercises
Projects and Papers
References and Further Readings
Chapter 3. The Mathematics of Sharing: Fair-Division Games
	3.1 Fair-Division Games
	3.2 Two Players: The Divider-ChooserMethod
	3.3. The Lone-Divider Method
	3.4 The Lone-Chooser Method
	3.5 The Last-Diminisher Method
	3.6 The Method of Sealed Bids
	3.7 The Method of Markers
Profile: Hugo Steinhaus
Key Concepts
Exercises
Projects and Papers
References and Further Readings
Chapter 4. The Mathematics of Apportionment: Making the Rounds
	4.1 Apportionment Problems
	4.2 Hamilton's Method and the Quota Rule
	4.3 The Alabama and Other Paradoxes
	4.4 Jefferson's Method
	4.5 Adams's Method
	4.6 Webster's Method
Historical Note
Key Concepts
Exercises
Projects and Papers
References and Further Readings
Mini-Excursion 1: Apportionment Today
PART 2 MANAGEMENT SCIENCE
Chapter 5. The Mathematics of Getting Around: Euler Paths and Circuits
	5.1Euler Circuit Problems
	5.2 What is a Graph?
	5.3 Graph Concepts and Terminology
	5.4 Graph Models
	5.5 Euler's Theorems
	5.6 Fleury's Algorithm
	5.7 Eulerizing Graphs
Profile: Hugo Steinhaus
Key Concepts
Exercises
Projects and Papers
References and Further Readings
	
Chapter 6. The Mathematics of Touring: The Traveling Salesman Problem
	6.1 Hamilton Circuits and Hamilton Paths
	6.2 Complete Graphs
	6.3 Traveling Salesman Problems
	6.4 Simple Strategies for Solving TSPs
	6.5 The Brute-Force and Nearest-Neighbor Algorithms
	6.6 Approximate Algorithms
	6.7 The Repetitive Nearest-Neighbor Algorithm
	6.8 The Cheapest Link Algorithm
Profile: Sir William Rowan Hamilton
Key Concepts
Exercises
Projects and Papers
References and Further Readings
Chapter 7. The Mathematics of Networks: The Cost of Being Connected
7.1 Trees
7.2 Spanning Trees
7.3 Kruskal's Algorithm
7.4 The Shortest Network Connecting Three Points
7.5 Shortest Networks for Four or More Points
Profile: Evangelista Torricelli
Key Concepts
Exercises
Projects and Papers
References and Further Readings
Chapter 8. Chasing the Critical Path: The Mathematics of Scheduling
	8.1 The Basic Elements of Scheduling
	8.2 Directed Graphs (Digraphs)
	8.3 Scheduling with Priority Lists
	8.4 The Decreasing-Time Algorithm
	8.5 Critical Paths
	8.6 The Critical-Path Algorithm
	8.7 Scheduling with Independent Tasks
Profile: Ronald L. Graham
Key Concepts
Exercises
Projects and Papers
References and Further Readings
Mini-Excursion 2: Graph Coloring
PART 3 SHAPE, GROWTH, AND FORM
Chapter 9. The Mathematics of Spiral Growth in Nature: Fibonacci Numbers and the 
Golden Ratio
	9.1 Fibonacci's Rabbits
	9.2 Fibonacci Numbers
	9.3 The Golden Ratio
	9.4 Gnomons
	9.5 Spiral Growth in Nature
Profile: Leonardo Fibonacci
Key Concepts
Exercises
Projects and Papers
References and Further Readings
Chapter 10. The Mathematics of Money: Spending it, Saving It, and Growing It
	10.1 Percentages
	10.2 Simple Interest
	10.3 Compound Interest
	10.4 Geometric Sequences
	10.5 Deferred Annuities: Planned Savings for the Future
Key Concepts
Exercises
Projects and Papers
References and Further Readings
Chapter 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 Symmetry as a Rigid Motion
	11.7 Patterns
Profile: Sir Roger Penrose
Key Concepts
Exercises
Projects and Papers
References and Further Readings
Chapter 12. The Geometry of Fractal Shapes: Naturally Irregular
	12.1 The Koch Snowflake
	12.2 The Sierpinski Gasket
	12.3 The Chaos Game
	12.4 The Twisted Sierpinski Gasket
	12.5 The Mandelbrot Set
Profile: Benoit Mandelbrot
Key Concepts
Exercises
Projects and Papers
References and Further Readings
Mini-Excursion 3: The Mathematics of Population Growth: There is Strength in Numbers
PART 4 STATISTICS
Chapter 13. Collecting Statistical Data: Censuses, Surveys, and Clinical Studies
	13.1 The Population
	13.2 Sampling
	13.3 Random Sampling
	13.4 Sampling: Terminology and Key Concepts
	13.5 The Capture-Recapture Method
	13.6 Clinical Studies
Profile: George Gallup
Key Concepts
Exercises
Projects and Papers
References and Further Readings
Chapter 14. Descriptive Statistics: Graphing and Summarizing Data
	14.1 Graphical Descriptions of Data
	14.2 Variables
	14.3 Numerical Summaries of Data
	14.4 Measures of Speed
Profile: W. Edwards Deming
Key Concepts
Exercises
Projects and Papers
References and Further Readings
Chapter 15. Chances, Probabilities, and Odds: Measuring Uncertainty
	15.1 Random Experiements and Sample Spaces
	15.2 Counting Outcomes in Sample Spaces
	15.3 Permutations and Combinations
	15.4 Probability Spaces
	15.5 Equiprobable Spaces
	15.6 Odds
Profile: Persi Diaconis
Key Concepts
Exercises
Projects and Papers
References and Further Readings
Chapter 16. The Mathematics of Normal Distributions: The Call of the Bell
	16.1 Approximately Normal Distributions of Data
	16.2 Normal Curves and Normal Distributions
	16.3 Standardizing Normal Data
	16.4 The 68-95-99.7 Rule
	16.5 Normal Curves as Models of Real-Life Data Sets
	16.6 Distributions of Random Events
	16.7 Statistical Inference
Profile: Carl Friedrich Gauss
Key Concepts
Exercises
Projects and Papers
References and Further Readings

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