MAT3100: History of Mathematics I

Greek Mathematics

Professor:   P. J. Scott

• Thales 
• Pythagorus (from MacTutor; for deeper aspects of his philosophy see also Stanford Encylopedia on Pythagorus ) 
• Regular Polyhedron (Wikipedia) 
• The three classical problems (essays 1, 2, 3) (MacTutor) 
• Paradoxes
  • Zeno's Paradoxes 
  • Liar Paradox (Wikipedia) and also Liar Paradox (Encyc. of Philosophy)
• Socrates (A brief survey)
• Plato (from MacTutor) and his students
• Aristotle (from MacTutor)
• Thaeaetetus (from MacTutor)
• Eudoxus (from MacTutor)
• The Quadratrix
• Euclid's Elements (all 13 books!) <-- Important Web Site !
• Stanford Encyclopedia of Philosophy
  • Liar Paradox Liar Paradox (Wikipedia) and also Liar Paradox (Encyc. of Philosophy)
  • Aristotle's Sea Battle: See: Aristotle's Sea Battle and also Future contingents (Wikipedia)
• Rational Root Theorem (from Wikipedia; there are many other sources on the web)
• Real Numbers
  • Real Numbers 1 (from MacTutor)
  • Real Numbers 2 (Modern theory) (from MacTutor)
  • Continued Fractions (from Wikipedia)
• Diophantus (from MacTutor)
• Hypatia (Wikipedia)  <-- fairly detailed
• Hypatia (MacTutor)
• Pappus' Hexagon Theorem (Wikipedia)   and also   Pascal's Mystic Hexagram
• MacTutor: Historical and Biographical Links to Ancient Greek Mathematics
  

• Some Logic History
• Euclid's Elements: Brief Intro
• Euclidean Algorithm
  
• Some.Mathematicians.after.Archimedes