Mathematical Excursions

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  • Edition: 1st
  • Format: Paperback
  • Copyright: 2003-03-10
  • Publisher: Brooks Cole
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Table of Contents

Note: Each chapter concludes with a Chapter Summary, a Chapter Review, and a Chapter Test
Problem Solving
Inductive and Deductive Reasoning Excursion: The Game of Sprouts by John H. Conway
Problem Solving with Patterns Excursion: Polygonal Numbers
Problem-Solving Strategies Excursion: Routes on a Probability Demonstrator
Basic Properties of Sets Excursion: Fuzzy Sets
Subsets Excursion: Subsets and Complements of Fuzzy Sets
Set Operations Excursion: Union and Intersection of Fuzzy Sets
Applications of Sets Excursion: Voting Systems
Infinite Sets Excursion: Transfinite Arithmetic
Logic Statements and Quantifiers Excursion: Switching Networks
Truth Tables and Applications Excursion: Switching Networks-- Part II
The Conditional and the Biconditional Excursion: Logic Gates
The Conditional and Related Statements Excursion: Sheffer's Stroke and the NAND Gate
Arguments Excursion: Fallacies
Euler Diagrams Excursion: Use Logic to Solve Puzzles
Numeration Systems and Topics from Number Theory
Early Numeration Systems Excursion: A Rosetta Tablet for the Traditional Chinese Numeration System
Place-Value Systems Excursion: Subtraction via the Nines Complement and the End-Around Carry
Different Base Systems Excursion: Information Retrieval via a Binary Search
Arithmetic in Different Bases Excursion: Subtraction in Base Two via the Ones Complement and the End-Around Carry
Prime Numbers and Selected Topics from Number Theory Excursion: The Distribution of the Primes
Additional Topics from Number Theory Excursion: A Sum of the Divisors Formula
Applications of Equations
First-Degree Equations Excursion: Body Mass Index
Rate, Ratio, and Proportion Excursion: Earned Run Average
Percent Excursion: Federal Income Tax
Second-Degree Equations Excursion: The Sum and Product of the Solutions of Quadratic Equations
Applications of Functions
Rectangular Coordinates and Functions Excursion: Dilations of a Geometric Figure
Properties of Linear Functions Excursion: Negative Velocity
Finding Linear Models Excursion: A Linear Business Model
Quadratic Functions Excursion: Reflective Properties of a Parabola
Exponential Functions and Their Applications Excursion: Chess and Exponential Functions
Logarithmic Functions and Their Applications Excursion: Benford's Law
Mathematical Systems
Modular Arithmetic Excursion: Computing the Day of the Week
Applications of Modular Arithmetic Excursion: Public Key Cryptography
Introduction to Group Theory Excursion: Wallpaper Groups
Basic Concepts of Euclidean Geometry Excursion: Preparing a Circle Graph
Perimeter and Area of Plane Figures Excursion: Slicing Polygons into Triangles
Similar Triangles Excursion: Topology
Volume and Surface Area Excursion: Water Displacement
Non-Euclidean Geometry Excursion: Find Geodesics
Fractals Excursion: The Heighway Dragon Fractal
The Mathematics of Graphs
Traveling Roads and Visiting Cities Excursion: Pen-Tracing Puzzles
Efficient Routes Excursion: Extending the Greedy Algorithm
Planarity and Euler's Formula Excursion: The Five Regular Convex Polyhedra
Map Coloring and Graphs Excursion: Modeling Traffic Lights with Graphs
The Mathematics of Finance
Simple Interest Excursion: Treasury Bills
Compound Interest Excursion: Consumer Price Index
Consumer Loans Excursion: Leasing versus Buying a Car
Home Ownership Excursion: Home Ownership Issues
Combinatorics and Probability
The Counting Principle Excursion: Decision Trees
Permutations and Combinations Excursion: Choosing Numbers in Keno
Probability and Odds Excursion: The Value of Pi by Simulation
Addition and Complement Rules Excursion: Keno Revisited
Conditional Probability Excursion: Sharing Birthdays
Expectation Excursion: Chuck-a-luck
Measures of Central Tendency Excursion: Linear Interpolation and Animation
Measures of Dispersion Excursion: A Geometric View of Variance and Standard Deviation
Measures of Relative Position Excursion: Stem-and-Leaf Diagrams
Normal Distributions Excursion: Cut-Off Scores
Linear Regression and Correlation Excursion: An Application of Linear Regression
Apportionment and Voting
Introduction to Apportionment Excursion: Apportioning the 1790 House of Representatives
Introduction to Voting Excursion: Variations of the Borda Count Method
Weighted Voting Systems Excursion: Blocking Coalitions and the Banzhaf Power
Table of Contents provided by Publisher. All Rights Reserved.

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