THE book on Math Proofs
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- Опубликовано: 28 июл 2024
- In this video, I review the book “Proofs” by Jay Cummings. This book is incredible for anyone looking to learn mathematical proofs, as well as give you an unquenchable thirst for more knowledge. Thanks Jay!
Open Question at 10:34 was recently solved in march, there does exists a monotile that perfectly covers plane aperiodically
No idea why this popped up in my recommended feed, but I'm glad it did. Nice review for what looks like a good book.
Thank you!
Me too!
Me three !
Me four!
Me Five!
I took a mathematical proofs class this spring and this book along with the book by susana ep were excellent tools. Personally I couldn’t even make a dent in either as they are both massive books and I had barely any time. However with the exercises I was able to tackle, they were well written and very well explained.
Even though I am 15 years old, I would love to have such informative math books.
It should read "Because I am 15 years old, I love to have such informative math books." I would have loved to have had this book at this age of 15. I congratulate you for having the same wish!
16, it's available in pdf format online for free
@@theidioticbgilson1466 please provide the link!
This looks like a lovely book. Those chapters on sets, induction, logic, proof by contradiction look so enticing. As you say, motivation for a topic is half the battle- the why of doing the stuff, enough to get you interested in delving deeper.. Nice review.
Thank you!
I really like your book introductions. Keep it up!!
This book looks like a lot of fun though I ended up going with How to prove it by Velleman. Thanks for the review man, I love to find new math channels.
I came across your channel by chance and it is great and your videos are really good quality, thanks RUclips algorithm 😅! Subscribed!
Thanks so much!
Indeed!
This one is on my wishlist
25 bucks ain't bad. Bravo to Mr. Cummings
This looks like a great book, one that would be a perfect supplement to the standard university textbook on proofs, which are usually more concise. 👍🏻
I can definitely recommend the book. The content as well as the style are great!
Thanks,
According to the website the book is self-published. Why not contact the author and see it's possible for this to be printed with a better quality binding? I'm happy to pay more for quality. Or maybe if it can be published digitally?
I used that Farlow book during my Graduate Assistantship
Is there kindle version coming out soon?
great videos man
Thanks!
Great introduction to a great book. I have to say handle your book with a little more care. It’s made of paper not steel.
I'm just thinkink of this topic then this video pops in!!!
Subscribed. 😊😊😊great video
Thanks!
The two books you showed, they used some photographic technique of older editions it is not typeset for that edition. Dover editions were much better in the past...
I'm assuming you know who the Math Sorcerer is. You have the same style of showing off your books. Additionally, he has this book as well as me.
This format of video is becoming quite popular, hard to say it was invented by someone. Jay Cummings' "Proofs" and Hammack's "Book of Proof" (I've got this one) are widely known and used, and there are many reviews of them in RUclips. Math Sorcerer is quite known channel, but I don't think he is copying or imitating him, it is just another (and valuable) book review.
In fact, this channel reminds me a very new and excellent channel about maths, Struggling Grad Student.
@@Ginebraconvention You're right. I wasn't implying he was trying to imitate him. But the Math Sorcerer could be an influence on his channel.
@@Ginebraconvention their logos are so similar that when I was recommended one of the videos on this channel, I asked myself, “grad math guy does physics now????”
@@sherlyn.a it's good to see some friends over SGS channel!
The algorithm at it's best
I wish i could get cummings book as a hardcover. Nowadays paperbacks are so cheap they just fall apart by looking at it, thats why i barely own any softcover anymore because whenever i bought one new it was just rubbish
cool
I wish I bought more textbooks
Smart guy with an unfortunate last name
My thoughts exactly.
Odd part is it isn't available as an E-Book/ Kindle. That would have been cheaper, than a paperback.
It is available as a PDF though.
@@ericvosselmans5657
Would you please provide the link of the pdf ?
Please provide the link! @@ericvosselmans5657
Thanks buddy 😊 for giving an overview of this book. One thing I wanna say...don't put your glasses like this ❤
please grow ur channel, really like itt!
Give me good content and i am happy
No leather covers with gold leaf embossing? Deal breaker!!!!
Why I feel sleepy
try, “God created the integer and all the rest of the work of Man” by Professor Stephen Hawking.
No offense or anything, but that’s a really DEveLOpED CouNTrY problem, I don’t know if you realize that people in universities sometimes cannot afford books and the fact that it’s so cheap really helps because you we’re not here for the quality of the paper just for the content.
Can someone pls provide the pdf, it's very expensive in india
All this knowledge and only one brain to take it..
Well then let it rebind in hardcover, like universities are doing it.
Ur channel looks like the struggling grad student’s
Who is that?
@@klg793 Looks like good content, the profile pics do look similar lol.
My exact thoughts
AI will solve those problems , hehehe 😂
The book of proofs doesn't hold together!
No time to watch. Does this book explain why some mathematicians insist that only constructive proof is true math proof?
I don’t know about what the book says but to my understanding, for the p=np problem, you could prove that there is an algorithm that solves p=np. But that doesn’t really help much because yes it could exist, but if it’s only one exact set of steps in an infinite permutation space of steps, we might not have enough time left in the universe to ever find that algorithm. So is it a ‘real’ proof if you don’t actually have the algorithm? I think people have different motives for studying mathematics. If you’re trying to apply mathematics to solve immediate problems, yes you might not care about someone proving something about an object that can’t exist in our universe. If you’re studying mathematics because you want to approach infinity and go beyond, then you might be find with people proving something about an object we may never encounter.
I think we should do what we want. Who knows, the Banach-Tarski theorem might inspire some kid to study mathematics and they end up creating many constructive proofs that positively impact the field while on their journey
you are buying a printed book in a 21 century? wow! I thought people like this don't exist anymore
That's so annoying. How does it "save money" to have a book that falls apart? It's just wasteful. A well-made, hardbound book may cost more upfront, but it will last forever, and you can give it to others or sell it, if you don't want it.
I also don't like math books (or any books for that matter) that are over 150 or pages. Math books should be hardbound and split into multiple volumes if more than a hundred or so pages.
I have spoken.
I cant wait to pirate this book!
😂