Spirit of Mathematics

1: Introduction
2: Whatever Happened to A, B, and C?
3: The 1089 Trick
4: Another Kind of Magic
5: Just Imagine...
6: A Most Unusual Lecture
7: Why are Mathematicians Obsessed by Proof?
8: Puzzling Mathematics
9: Why Does (-1) x (-1) = +1?
10: It's a Square World
11: Algebra in Action
12: 'Compleating the Square'
13: Slices of Pi
14: The Golden Ratio
15: Proof by Chocolate
16: The Puzzled Farmer
17: Mathematics and Snooker
18: The Wicked Schoolteacher
19: Trains, Boats, and Planes
20: I've Seen That Before, Somewhere ...
21: An Apple Falls ...
22: Rollercoaster Mathematics
23: The Electric Guitar Revisited
24: The Domino Effect
25: Real or Imaginary?
26: The Square Root of Minus One
27: Inspector Riemann Investigates ...
28: Infinite Danger
29: 1 + 1 to the Rescue!
30: And Finally ...
Notes and references
Further Reading
Index

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• Matemática populares
• História da Matemática
• Matemática
• Álgebra