[mathematical challenges] Bill Richardson (ed.) - Ten Years of Mathematical Challenges 1997 to 2006 (2006) [UKMT secondary school level challenges (JMC, IMC, SMC)] Terence Tao - Solving Mathematical Problems: A Personal Perspective (1992) [2006 2nd edition] [some advice is useful for secondary school level] [reference] David Wells - The Penguin Dictionary of Curious and Interesting Numbers (1986) David Wells - The Penguin Dictionary of Curious and Interesting Geometry (1991) Derrick Niederman - Number Freak: A Mathematical Compendium from 1 to 200 (2009) [history] Anne Rooney - The Story of Mathematics: From Creating the Pyramids to Exploring Infinity (2008) Eric Temple Bell - Men of Mathematics (1937) Eric Temple Bell - The Development of Mathematics (1940) Eric Temple Bell - Mathematics: Queen and Servant of Science (1951) [note: combines: The Queen of the Sciences (1931), and, The Handmaiden of the Sciences (1937)] Eric Temple Bell - The Last Problem (1961) [about Fermat's Last Theorem] Tord Hall - Carl Friedrich Gauss: A Biography (1965) [like other biographies, it covered biographical details well, unlike other biographies, it covered some mathematics (and pretty well)] [not recommended as mathematics books] Douglas Hofstadter - Gödel, Escher, Bach: An Eternal Golden Braid (1979) [not too much mathematical content] George Pólya - How to Solve It (1945) [little solid mathematical advice] Jacques Hadamard - The Psychology of Invention in the Mathematical Field (1945) [little solid mathematical/psychological content]
Wolfram|Alpha: Computational Intelligence
[primary school mathematics] Maths Mansion - YouTube videos: 40 duration: 06:08:17 average duration: 09:12 [secondary school mathematics] Maths 4 Real - YouTube videos: 20 duration: 04:41:19 average duration: 14:03
[primary school mathematics] Learn with Sooty - Have Fun with Numbers [VHS] (1989) - YouTube mathematics - YouTube videos: 15 duration: 03:18:53 average duration: 13:15
[note: try the questions yourself, for multiple hours/days if necessary, before checking the answer] mathematics puzzles - YouTube videos: 3 duration: 35:53 average duration: 11:57
[documentaries] "Horizon" Fermat's Last Theorem (1997) The Story of 1 (2005) (TV) Beautiful Young Minds (2007) (TV) [UK IMO team] Hard Problems: The Road to the World's Toughest Math Contest (2008) (V) [US IMO team] [The Story of Maths (2008)] [further documentaries] Donald in Mathmagic Land (1959) The Dot and the Line: A Romance in Lower Mathematics (1965) [The Royal Institution Christmas Lectures: Mathematics into Pictures (1978)] "Horizon" A Mathematical Mystery Tour (1984) [Great Experiments: Number Crunching (1985)] [Open University: Topics in the History of Mathematics (MA290) (1987)] [The Nature Of Things: Mystery and Magic of Mathematics: Martin Gardner and Friends (1996)] [The Royal Institution Christmas Lectures: The Magical Maze (1997)] "Horizon" Archimedes' Secret (2002) [audio] [AUDIO: Desert Island Discs: Ian Stewart (1998)] [AUDIO: Desert Island Discs: Marcus du Sautoy (2008)] [AUDIO: Desert Island Discs: Sir Roger Penrose (2000)] [AUDIO: In Our Time (1998)] [various mathematical episodes] [AUDIO: Five Numbers (2002)] [AUDIO: Another Five Numbers (2003)] [AUDIO: A Further Five Numbers (2005)] [AUDIO: Five Shapes (2005)]