THE ARCHIVE
Curated knowledge to fuel your mathematical curiosity. Access the database.
The Missing Dollar
Three friends pay $30 for a room. The manager gives back $5. Each takes $1, leaving $2. $27 + $2 = $29. Where's the missing dollar?
Bridge Crossing
Four people must cross a bridge at night with one torch. Bridge holds max 2 people. Times: 1, 2, 5, 10 min. How to cross in 17 min?
Monty Hall Problem
3 doors: 1 car, 2 goats. Pick a door. Host reveals a goat. Should you switch? What's the probability?
Prisoners and Hats
100 prisoners in line, each with a random black/white hat. Starting from back, each guesses own hat color. Strategy to save 99?
The Man Who Knew Infinity
Authored by Robert Kanigel
"The definitive biography of Srinivasa Ramanujan."
Fermat's Last Theorem
Authored by Simon Singh
"The story of a puzzle that defied proof for 350 years."
How to Solve It
Authored by George Pólya
"A new aspect of mathematical method."
The Art of Problem Solving
Authored by Sandor Lehoczky
"Essential for math competition preparation."
Gödel, Escher, Bach
Authored by Douglas Hofstadter
"A metaphorical fugue on minds and machines."
A Mathematician's Apology
Authored by G.H. Hardy
"A classic memoir by Ramanujan's mentor."
Classified Records
Access declassified problem sets from previous operations.
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