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1. Mathematical Ways of Thinking  The Path of the
Billiard Ball, More BilliardBall Mathematics, Inductive Reasoning: Finding
and Extending Patterns, The Limitations of Inductive Reasoning, Deductive
Reasoning: Mathematical Proof, Number Tricks and Deductive Reasoning
2. Number Sequences  Arithmetic Sequences, Geometric
Sequences, The Binary Sequence, The Sequence of Squares, The Sequence of
Cubes, Fibonacci Sequence
3. Functions and Their Graphs  The Idea of a Function, Descartes and
the Coordinate Graph, Functions with Line Graphs, Functions with Parabolic
Graphs, More Functions with Curved Graphs, Interpolation and Extrapolation:
Guessing Between and Beyond
4. Large Numbers and Logarithms  Large Numbers, Scientific Notation,
An Introduction to Logarithms, Decimal Logarithms, Logarithms and Scientific
Notation, Exponential Functions
5. Symmetry and Regular Figures 
Symmetry, Regular Polygons, Mathematical Mosaics, Regular Polyhedra, Pyramids and Prisms
6. Mathematical Curves 
The Circle and the Ellipse,
The Parabola,
The Hyperbola,
The Sine Curve,
Spirals,
The Cycloid
7. Methods of Counting 
The Fundamental Counting Principle,
Permutations,
More on Permutations,
Combinations
8. The Mathematics of Chance 
Probability: The Measure of Chance,
Dice Games and Probability,
Probabilities of Successive Events,
Binomial Probability,
Pascal's Triangle,
Independent and Dependent Events,
The Birthday Problem: Complimentary Events
9. An Introduction to Statistics 
Organizing Data: Frequency
Distributions,
The Breaking of Ciphers and Codes: An Application of Statistics,
Measures of Central Tendency,
Measures of Variability,
Displaying Data: Statistical Graphs,
Collecting Data: Sampling
10. Topics in Topology 
The Mathematics of Distortion,
The Seven Bridges of Konigsberg: An Introduction to Networks,
Euler Paths,
Trees,
The Moebius Strip and Other Surfaces
Appendix: 
Basic Ideas and Operations,
Angles and Their Measurement,
The Distributive Rule,
Signed Numbers,
Percent
Answers to Selected Exercises
Index 
