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