Reviews of The
 Mathematical Explorer
Where will the journey of exploration take you? These excerpts will give you a sense of the range of topics appearing in The Mathematical Explorer. Some of these topics date back to the ancient Greeks, and some touch on the newest fields within mathematics. Every section comes with a historical introduction, biographies of relevant mathematicians, questions and answers, notes, and references for further exploration.

Prime Numbers
The Mysterious and Beautiful Sequence for 2, 3, 5...
Patterns in Chaos
The Feigenbaum Discovery
Formulas for Computing Pi
The Never-Ending Quest for More Digits
The Four-Color Theorem
Can Computers Prove Theorems?
Exploring Escher Patterns
Playing with Periodicity
The Power of Check Digits
Modular Arithmetic, Symmetries, and Group Theory
Square Wheels
The Bizarre World of Wheels
Turtle Fractalization
Turtle Geometry, Fractals, and Space-Filling Curves
Calculus
The Constancy of Change
Unusual Number Systems
The Quest for a Better Number System
Secret Codes
The Mathematics behind Disguising Secrets
Fermat's Last Theorem
Diophantine Equations and the Most Famous Problem in Mathematics
Recreational Mathematics
Puzzles Old and New
Varieties of Roses
Where Mathematics and Art Cross
The Riemann Hypothesis
The Most Important Unsolved Problem in Mathematics


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