someone with too much time on their hands can compile it into an actual coroneos style worksheet
ooh that reminds me - has anyone done steve howard's thousand problems worksheet??? is it any good?
Is there a Coroneos 100 thing for proofs? (2 Viewers)
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ooh that reminds me - has anyone done steve howard's thousand problems worksheet??? is it any good?
mmmmmmmmaaaaaaa
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very goodsomeone with too much time on their hands can compile it into an actual coroneos style worksheet
ooh that reminds me - has anyone done steve howard's thousand problems worksheet??? is it any good?
Now there are 4 more papers, Sydney Girls 2023 at https://community.boredofstudies.or...rls-2023-mathematics-extension-2-trial.20332/ as well as Abbotsleigh 2023, Glenwood 2023, Knox 2023 at https://thsconline.github.io/s/yr12/Maths/trialpapers_extension2.html we can add these:
Sydney Girls 2023: Q3, 12a, 13b, 13c, 13d, 16a, 16b
Abbotsleigh 2023: Q3, 7, 11c, 12d, 14a, 14d, 16a
Glenwood 2023: Q2, 12a, 14a, 15b, 16a
Knox 2023: Q5, 6, 11b, 14c, 14d, 14e, 15a, 16a
which is 27 proof questions. Hence the total is up to 394 now. Maybe the 2023 HSC exam will make it 400 or near that.
Sydney Girls 2023: Q3, 12a, 13b, 13c, 13d, 16a, 16b
Abbotsleigh 2023: Q3, 7, 11c, 12d, 14a, 14d, 16a
Glenwood 2023: Q2, 12a, 14a, 15b, 16a
Knox 2023: Q5, 6, 11b, 14c, 14d, 14e, 15a, 16a
which is 27 proof questions. Hence the total is up to 394 now. Maybe the 2023 HSC exam will make it 400 or near that.
With the 2023 HSC we can add these proof questions
Q2, 4, 12a, 12b, 13b, 16b
and this does indeed bring the total up to 400 now.
So apart from the proof chapters in textbooks and past paper questions, what other resources might be useful for proofs?
24 bilibili videos on proofs: https://www.bilibili.com/video/BV1ig411a7kd . This is The Great Courses course Prove It: The Art of Mathematical Argument
If you are not familiar with bilibili it's like a Chinese youtube and you can select the different videos in the video selection box:
There are also some books available as ebooks:
Pólya, G., Mathematics and Plausible Reasoning Vol 1 and 2, Princeton University Press, 1954
Franklin, J.; Daoud, A., Proof in Mathematics: An Introduction, Kew Books, 2011
Gold, Bonnie; Simons, Rogers A.. Proof and Other Dilemmas: Mathematics and Philosophy. MAA., 2008
Solow, D., How to Read and Do Proofs: An Introduction to Mathematical Thought Processes, Wiley, 2004
Velleman, D., How to Prove It: A Structured Approach, Cambridge University, 2006
Hammack, Richard, Book of Proof, 2018
Cupillari, Antonella. The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs, 4th ed. Academic Press., 2013
24 bilibili videos on proofs: https://www.bilibili.com/video/BV1ig411a7kd . This is The Great Courses course Prove It: The Art of Mathematical Argument
If you are not familiar with bilibili it's like a Chinese youtube and you can select the different videos in the video selection box:
There are also some books available as ebooks:
Pólya, G., Mathematics and Plausible Reasoning Vol 1 and 2, Princeton University Press, 1954
Franklin, J.; Daoud, A., Proof in Mathematics: An Introduction, Kew Books, 2011
Gold, Bonnie; Simons, Rogers A.. Proof and Other Dilemmas: Mathematics and Philosophy. MAA., 2008
Solow, D., How to Read and Do Proofs: An Introduction to Mathematical Thought Processes, Wiley, 2004
Velleman, D., How to Prove It: A Structured Approach, Cambridge University, 2006
Hammack, Richard, Book of Proof, 2018
Cupillari, Antonella. The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs, 4th ed. Academic Press., 2013
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Aeonium
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ngl if i'm bored enough one day i mightsomeone with too much time on their hands can compile it into an actual coroneos style worksheet
Here are some more. The last one isn't out yet, but comes out in April.
Nelsen, R. B., Proofs Without Words I, II and III, MAA Press, 1997, 2000 and 2015
Sethuraman, B., Proofs and Ideas: A Prelude to Advanced Mathematics, MAA Press, 2021
Ernst, D. C., An Introduction to Proof Via Inquiry-Based Learning, MAA Press, 2022
Chow, B., Introduction to Proof Through Number Theory, AMS, 2023
Draganov, A., Taking the “Oof!” Out of Proofs: A Primer on Mathematical Proofs, CRC Press, 2024 (release date April 8, 2024)
Most are available as ebooks, but you may have to wait a bit longer for the last one.
The ebook for this last one is now available. It came out a bit early a few hours ago. If you are old fashioned and want a hardcopy version you will still have to wait.
I now have the ebook and have read half of it already.
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so how about the biggest proof ever - that every finite simple group is cyclic of prime order, alternating, Lie type or sporadic
first-generation classification 1955-2004 in over 500 papers and 15000 pages - so spread out that some experts involved in it have said no-one has read them all - so this gave rise to
second-generation classification started in 1994 and is expected to be completed in 2025, 1st 10 volumes are in https://www.mediafire.com/file/jjoj...ion+of+the+Finite+Simple+Groups+1-10.zip/file the last of which came out a few months ago - when completed it could be down to 5000 pages.
this is a much more acceptable format but recently some parts have been shortened by use of the amalgam method and this has given birth to a new idea called the third-generation classification but it unclear how much of the proof can be shortened by this method
one thing that concerned mathematicians was an aspect of proof not yet discussed in this thread, but i will raise it now.
to whom are you proving it?
if the proof can only be understood by a few mathematicians all of whom can fit in a single room and in a few decades they all die, then does the proof still stand? - or does it die with them?
this aspect of proof was alluded to in the article Ornes, Stephen (2015). "Researchers Race to Rescue the Enormous Theorem before Its Giant Proof Vanishes". Scientific American. 313 (1): 68–75.: https://www.scientificamerican.com/...mous-theorem-before-its-giant-proof-vanishes/
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2023 are there now
So we can add the questions
1, 9, 11d, 13c, 16a
so now it is up to 405.
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https://www.nexteducation.com.au/resources also now have their 2024 papers up so for ext. 2 we add the questions
3, 12, 31, 33, 34
so now it is up to 410
3, 12, 31, 33, 34
so now it is up to 410