[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 of mathematics] •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)] [history of statistics] •Stephen M. Stigler - The History of Statistics: The Measurement of Uncertainty Before 1900 (1990) •David Salsburg - Lady Tasting Tea: How Statistics Revolutionized Science in the Twentieth Century (2002) [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 question numbers expander - Bazzle
Maxima CAS Tutorials - YouTube videos: 7 duration: 02:09:16 average duration: 00:18:28 Octave and FreeMat Tutorial - YouTube videos: 7 duration: 01:31:17 average duration: 00:13:02 [note: includes videos on LaTeX/MATLAB/Octave, NumPy/Pandas/Matplotlib, and others] Derek Banas 'Learn in One Video' Tutorials - Bazzle Infinitude of primes --- a Lean theorem prover demo - YouTube duration: 23:35
mathematics - YouTube videos: 15 duration: 03:18:53 average duration: 13:15 50 Centuries in 50 minutes (A Brief History of Mathematics) - YouTube duration: 54:22 Statistics Lies and Paradoxes, History of Statistics - YouTube duration: 27:50
Geometry Constructions - YouTube videos: 32 duration: 01:23:31 average duration: 00:02:36 Circle Theorem Proofs - YouTube videos: 6 duration: 16:46 average duration: 00:02:47 [Johnny Ball on Hippocrates of Chios] Mesolabe Compass and Square Roots - Numberphile - YouTube duration: 09:05
[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
[primary school mathematics] Learn with Sooty - Have Fun with Numbers [VHS] (1989) - YouTube [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
nt.number theory - How and when do I learn so much mathematics? - MathOverflow bachelor - University is killing my passion [for mathematics] - Academia Stack Exchange Is amateur research in mathematics viable? - MathOverflow soft question - How can I read numbers and mathematical symbols comfortably, at a university level? - Mathematics Stack Exchange soft question - Nobody told me that self teaching could be so damaging... - Mathematics Stack Exchange soft question - Online Math Degree Programs - Mathematics Stack Exchange soft question - Can I use my powers for good? - Mathematics Stack Exchange Do you agree with this quote by Emmy Noether? : math reference request - Books on Number Theory for Layman - Mathematics Stack Exchange reference request - What are some good introductory books on complex analysis? - Mathematics Stack Exchange reference request - Linear Algebra classic books - MathOverflow reference request - Complete course of self-study - Mathematics Stack Exchange
[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)]
[history of mathematics] moderndaymath Newsthink [university mathematics] Aleph 0 [university mathematics e.g. Steven Strogatz interview] Grant Sanderson [university mathematics e.g. Peter Swinnerton-Dyer interview] Prof Alan Macfarlane - Ayabaya [compass-and-straightedge constructions] Kim Nelson corbettmaths [puzzles] MindYourDecisions [mathematical olympiad questions] Math Wisdom Shefs of Problem Solving [mathematics software] leanprover community Derek Banas [documentaries/lectures/interviews] Graduate Mathematics Zala Films [general] DrJamesTanton James Tanton Veritasium Quanta Magazine Newsthink Numberphile Stand-up Maths singingbanana Tibees 3Blue1Brown Up and Atom Math and Science Terence Tao [general (further)] letsthinkcritically discovermaths BriTheMathGuy Flammable Maths Zach Star Mathologer Vsauce Michael Penn MindOverBody Morphocular Math is Easy Dubious Insights RedBeanieMaths Another Roof Lines That Connect HexagonVideos PBS Infinite Series Alex Bellos Higher Mathematics Eric Rowland Welch Labs Dr. Trefor Bazett ThoughtThrill Ayliean Wrath of Math jan Misali moderndayjames Fadi Akil