Is there a Coroneos 100 thing for proofs? (1 Viewer)

[SadCeliac]

one day we’re gonna have ‘1000 Proofs’ at this rate

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?

 

[mmmmmmmmaaaaaaa]

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?

very good

 

[tywebb]

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.

 

[tywebb]

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.

 

[tywebb]

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

 

[Aeonium]

someone with too much time on their hands can compile it into an actual coroneos style worksheet

ngl if i'm bored enough one day i might

 

[tywebb]

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

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.

 

[tywebb]

......Draganov, A., Taking the “Oof!” Out of Proofs: A Primer on Mathematical Proofs, CRC Press, 2024 (release date April 8, 2024)

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.

 

[tywebb]

Here is a new resource for proofs to be published on May 8, 2024:

Kirkwood, J.R., Robeva, R. S., A Bridge to Higher Mathematics, CRC Press, 2024

However the ebook is already available.

 

[tywebb]

Extension 2 proofs project attached