Excellent Proof Writing Book For Beginners
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- Опубликовано: 29 июл 2024
- This is a newer book that is absolutely amazing for anyone who wants to learn to write proofs. If you are learning on your own then this book is definitely worth picking up. If you are taking a class on proof writing then it's also extremely helpful. Learning to write proofs takes a lot of time and effort, and this book can definitely help you throughout that process. The book is titled Proofs: A Long-Form Mathematics Textbook and it was written by Jay Cummings.
Here it is amzn.to/3AF8ll0
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Thank you:)
I took Dr. Cummings for my "Intro to Formal Mathematics" class during the Fall, 2020 semester. My class was actually the first class that was taught using this book, as it was being written! It was a very interesting class, given the circumstances of the pandemic. Each week, Dr. Cummings would release the next section of this book and our class would read over it, have discussions, and also point out any errors if we ever found any 😂. I really appreciated Dr. Cummings's presentation of the material; everything felt like it was being presented in layman's terms, and it made it much easier to ask questions and discuss the material. I also really liked how at the end of each section Dr. Cummings would provide an "intro to ____", where he provides a small section dedicated to discussing a different field of math (number theory, analysis, algebra, etc.). It really helped give some insight to what we could expect in upper-division coursework, and which emphasis we might want to follow in our math degrees.
I was in that class with you 😂
According to Math Sorcerer he commented on this video, I can't find it. :( ruclips.net/video/BtXL3O4nk38/видео.html
cool story
I am 35, suffered a lot of trauma, couldn't study STEM and focused more on philosophy because of all the hurt. I want to begin with my mathematics education.
Edit: Thank you. I will be using your channel as my teacher and guide. I want to be really good at math.
I'm rooting for you. Just keep learning and enjoy the process.
IMO it's worth it. As a philosophy major, I have to say that learning math is way more rewarding than reading and learning philosophy (can it be even learned?), but YMMV.
Check out his other videos, specifically his video titled _Learn Mathematics from START to FINISH (2nd Edition)_ . If you keep up on the studying, you _can_ be really good at math and learn math at a high level (even a graduate level). Maybe consider going back to college too, that way you could make a career out of it. Keep up the good work and know that you can do this. I am rooting for you
Sure man. All the best.
All the best. Almighty is with you. It's never too late to start something. You are never too old to dream another dream. All the very best again. ❤
You should TOTALLY write an abstract algebra book (in this style). There are NO good, comprehensive abstract algebra books for self study. I flipped through every abstract algebra book at my university library. None of them were this good. There is absolutely a need for an abstract algebra book of this kind -- conversational style, generous explanations, slightly illustrated, solutions in the back, pro tips, an organized list of theorems, etc. It would be a CLASSIC!
I purchased this book because of your review. I was hesitant to purchase this book because I have other books on proof writing. However, I am so glad that I found this video review and this book. The writing, humor, and exposition make this an incredibly easy-to-digest book. This book is a great tool that you can use to build your knowledge of proof writing and mathematics from beginner to intermediate and beyond.
Thank you, Math Sorcerer, for such a great review!
I've discovered so many books from you. I didn't really step out of what was taught at my specific college for learning materials, but after discovery your content I've learned so much. Such an excellent book, as was the case for every other book I purchased that you recommended. I'm eager to study math at a graduate level; I wish I could attend graduate school sooner lol. Thanks a ton, Mr. Math Sorcerer
Jay Cummings is a young person. And is writing better books than old teachers. Plus his prices are very good. I believe we should buy his books
Yea I bought both to support him
I ordered the book. Thanks for sharing. I, however, never bought the excuse for not providing the answers worked out in detail in math books in general. Even if all the questions were answered, there would be no shortage of problems, only a shortage of imagination and interest and effort to formulate them. Everyone says doing problems is of utmost importance, and therefore I am aghast at how so little effort is spent providing the student with the opportunity to see if their answers are correct. We needn't be considered children, and we will sneak a peek before trying to solve the problems. If a student does that, it is on him anyway. So many texts are written not to convey a concept elucidating it carefully. Rather, the authors often write tersely and "rigorously," so students won't understand it until they find another resource for clarification. Where is their concern for us children, then?
I agree, it’s ridiculous. Often times you can find solutions or great hints online if not actual manuals.
@@zgennaro yes
If it's true that all the solutions are on his website, I'm sure it's merely a matter of marketability (at least in regard to this book)
@@branpod That is fine. I was speaking in general as to what is common. Jay's book looks fantastic. And I purchased it.
christ, bro, put away the thesaurus
Hmm... I'm getting into computer science and I get the feeling this book would be VEEEEERY useful 🤔🤔🤔
Look into How to prove it in and Chartrand Intro to advanced math or something like that. Both books are great for proofs. Im going to buy all three of them
Yes in cs too and I am getting this book.
@@crnojaje9288 could you name the books
@@thenbaplayer9485 he did?
Proofs, How to prove it and Chartand Intro to advanced math.
@@crnojaje9288 There is also "Proofs from THE Book"
I have to admit hearing you say it once took you a long time to write a proof makes me feel better. I think you are an excellent proof writer so I feel encouraged.
Wow, I’m really impressed by the structure and breadth of this book! Probably the most unique and comprehensive proof-writing book I’ve seen. I think it will make a fine addition to my bookshelf. Thank you for sharing :)
☺️😊
Hi Math Sorcerer, it caught my attention that you mentioned many people ask you to write a math book. I believe it could not only be helpful for us (students, math-lovers, ...), but also for you. I think it can make you better at Mathematics, because you'd push yourself out of your current 'comfort zone' (which is pretty advanced already lol). When writing a book, some continuity is required. I've personally always had at least 1 topic in a chapter that I did not understand well enough to be able to explain it someone else - I just let it slip away. When writing a book, this escape is not an option. I love your content, your explanation and your use of English, but I gotta admit I prefer studying from textbooks rather than on RUclips as I want to be fully immersed in what I do without any distraction. It'd be super cool if we could purchase a Maths book written by you some years from now. :)
I purchased this book about 6 months ago. It's a really great and clear book on proof writing.
Going to buy this book right now! I’ll study it this summer as prep for grad school in the fall
I just got this book delivered today. I was looking out my front door and noticed a large brown envelope on the front step almost completely hidden under a heavy layer of damp autumn leaves. Fortunately the book within didn't get soggy or damaged. Its a large book and filled with lots of great stuff from cover to cover.
awesome!!
I ordered it an hour ago from Amazon. Hopefully it went through your channel. It was only $17. Now I have both of his books. Wish me luck!!
Sometimes it seems that math books are written to impress other mathematicians, other book are written for those who wish to learn mathematics. This book does both. Picked it up almost immediately. Thanks for sharing and your thoughts on this book.
Our professor is using this book for our Discrete Math class, and I love it! It's honestly so fun to read. I never thought of math as enjoyable, more like a means to an end, but this book really made me passionate and curious about it. I'm so glad you're talking about this book, it has really changed the way I see math!
I envy you. My professors either use the most dullest books imaginable or they upload their own messy scripts three weeks too late.
Since you mentioned, that you really like the book, I would like to ask you, if you think it would be useful for an engineering student? or is it mostly for math majors?
(I recently started studying for building engineer, and the math is giving me some serious challenge)
@@Daniel-Pap learning proof writing never hurts
Ima pray it does the same to me.
Feynman changed my perspective on physics and made it alot easier to approach it.
I wish math had a similar Feynman. Someone who explained away the beauty behind all these proofs and why its actually fun.
Physics is fun cus you use math as a tool to solve problems.
Math by itself is wierd because your taught how to make those tools.
I bought both jays book based on you previous review and what a nice surprice finding this review to reinstate what I suspected that his other book was good too
i picked this book up before i took calc 4 and it helped me so much!
You are an angel not a sorcerer!
I needed that book, just in time
Thank you so much 🥰
You’re welcome 😊
I studied computer science and we had to read and write proofs on our discrete math course. I didn't really get it at the time - it was by far my worst grade - and I still mostly skip the proofs when I'm reading math and computer science books like Knuth. But I think I'll get this book and set aside some time to study it now given your glowing recommendation.
Ordered :) thanks for sharing!
"Indeed, the fact that it is an arbitrary prime is important". Knowing when to state the obvious is the hallmark of a good teacher. Doing maths is a lot about having confidence, and the less confident student will constantly question themself, wondering whether something is missing, misunderstood, invisible, non-existant.... I need to get this book!
Thanks! Great recommendation, I've just ordered my copy.
This book looks amazing! I'm excited to purchase it!
My favorite channel. It's cathartic and meditative 🧘♂️
I just bought it after failing to get further on my first Real Analysis book I bought.
It's really helpful to gain intuition and it's like the hidden link between high school math and undergraduate math
Did u mean the cummings real analysis book or just some other book?
Just got this book delivered yesterday. Was not expecting it to be so large! Very excited, though.
thankyou for revisiting this topic, not super easy doing unsupervised for the first time since highschool
Awesome, getting it!
Thanks.
I mean its redicioulsley amazing that you are so much hard working on math eventhough I know you love it.
And about writing a math book : you yourself in one of the videos told us that different people have different views about math and its amazing to have every kind of math books on one subject. I know you are very able to write a book so please dont let yourself down, think postive and do things so.
May the lord bless you.
Best wishes from Iran.
I've just picked up a book called, 'How to think like a mathematician - A companion to undergraduate mathematics' by Kevin Houston. It covers writing statements, logic as well as reading and writing proofs. It's early days but it looks a very useful book.
Not including answers in math books but providing them in teacher’s editions, with the justification that teachers don’t want the students to have the answers, smacks of academic gatekeeping, and the claim itself is preposterous in a world with stack overflow, wolfram alpha, and matlab.
It’s one thing to have questions that aren’t answered as curiosities, but when the answers exist, the only point in concealing them is to force people to spend hundreds or thousands to take a class, just for the privilege of accessing the field.
Thanks for coming to my Ted Talk.
BTW I bought this book on this recommendation, thanks!
Not including answers in Math books always was a dumb decision.
I'm not even into maths but I want this book now.
Writing proofs for "obvious" things is interesting!
Nice book. I'm gonna get one copy! Thank you Sir!
Jay’s books are excellent! I wish he would come out with a Kindle version.
There's something about that book that entices me to want to dive in and learn. I love that simple minimalist cover design As well the real analysis book.
Yeah it's a fantastic book:)
Wow this book is exactly what I’ve been looking for to prep for linear algebra! I can’t wait to buy it!
Update: book came in, going to start learning proof writing!
It looks like a great book. The cover image is brilliant.
I have this and Jay Cummings other book on Real Analysis in my amazon shopping cart. Looking forward to digging into them soonish.
I knew you would do this one after the analysis one. Proof is in the pudding 😄
Just got my copy!!
A great vid as always
Jay Cummings loves to use as many trees as possible 😊
I still think you should write a math book. You have spent so much time teaching us how to learn and working with people who have doubts or struggles with math that I think your writing or pedagogical style would be far and away better than other books I have read.
I wish you could interview Jay for your channel. He's such a great guy.
I bought and read this book a few months ago. It's not for everyone. His style is informal, and the descriptions he provides can be pretty tedious if you're even slightly familiar with the content. But it is a fantastic beginner book.
I have this book, and I also recommend it for folks new to proofs.
This book looks like exactly what I need. It seems like a dream book for me. I have gladly purchased it using your affiliate link :D
Awesome, thank you!!
Excellent review
“I don’t see how I could do any better than this.”
So what? If every book had to be better than last that was written, there wouldn’t be very many books. That would be a tragedy. We’d love to see you write a math book.
:)
Amazing! 👌
Really cool!
Recently bought both of these books by Cummings. The only one I like more is Weissman's Illustrated Number Theory.
Seems amazing.
I ordered this book over the weekend since I was finding proofs to be a limiting factor for my learning. It's encouraging to see so many people have good things to say about it, knowing that my money is well spent.
nice name :)
I just ordered a copy of this book. Although I am familiar with many of the topics covered this book looks too good to pass up.
jay cummings seems the kinda guy you'd laugh while reading his books, even though they are about a tough subject
This is the first time that a book that you present is actually in my repertoire! I really liked this book although i never got to finish it :/
How come?
i just bought it!
Instapurchased this! I have a cs degree and just bought how to prove it because i eventually wanted to learn topology. So now I have two great books to get started
Wonderful!
Please write a book dude.! Don't worry about producing the same standards as other authors
You're saying your graduate professor was Harold with the Purple Crayon? I'm so glad that there are folks out there generous enough to offer quality education at a reasonable price. The lowest new price for my next semester proof text was around $160!!
Looks like a good book.
I love this book. Like you, I really like this book’s size. Very important for a Proof book. I bet his wife convinced him that size really does matter.
I just hope he’s not “compensating”
Great video as always. I was wondering, which book would you recommend for a complete beginner, this or Velleman's?
If Jay Cummings wrote a book about Linear Algebra, we would have the holy trinity for Math beginners.
I didnt get this book til after my degree in computer science ended but man it is a great book
Yeah I know what you mean. I wish I had this book when I was learning!
Re: Purple Crayon / "Clear".
I would have found that comment crushing and defeating. As an often idiosyncratic or autodidactic learning, I struggle with modeling what 'others find obvious'. I have gotten feedback for both "skips steps", and "too much detail".
What feedback did you want instead? What were they trying to communicate, and how could it have been communicated instead?
Do you recomend any textbook about logic? Could you make a video about it? Thank you.
Great Vid ! I got "Point set topology" by John D. Baum a few days ago !!! I was also able to get my hands on the linear algebra book by Caron and Salzmann. Wuold be great if you could make a review of it sometime??. So far i haven't seen a full review of this book on your Channel. Wuold be great to hear what you think of the book!!
Most of my math which counted for college study was self learned. I was weak in this area. Are their any kindle books that you would recommend of proofs. Thanks
what do you think about the discrete math book writen by Rosen ?
Can you do a review for the Differential Equation book by Chris McMullen?
Christmas gift to myself.
Nice book sir
I have just downloaded it's pdf :)
What website did you use?
any prerequisites you'd recommend. Im JUST starting to get into math
the book that ramanujian needed
Strange the online copie are not as complete at the print ones. Does anyone have links to a complete online copy?
Then maybe you should help Jay by writing a book on another math topic, with the same spirit used in those 2 books 🤔 maybe complex analysis, or linear algebra (but strang already has a very nice and easy to understand book)
is there are any prerequisites for starting with this book?
Is this more or less better for beginners? What about your udemy courses? Which ones are best for going in order easiest --> hardest please? Also when your's would come into play at any time (in the following or prior order to this)
You should write a math book about mathbooks and mathematical reasoning and learning in general.
do you have read any book about compression algorithm, i have a stuck with that, can you suggest me some book about data compression algorithm. Thank you so muck
Great book, it definitely covers the topics I'd like to learn. But I have to say, not providing solutions to the exercises/problems is a big turn off for me. How is somebody trying to self-learn this material supposed know if they're on the right track and understanding the material and get practice in? If you are enrolled in a course, you could ask the professor during their office hours after attempting the problems I suppose, but what about those of us trying to learn on their own?
The excuses just don't cut it for me. It's too difficult? Ok, so the writer wanted to half ass his book? They want their students to not look at the answers? Huh? We're not trusted that much?
Great review Sorcerer, saved me from purchasing it.
One thing that had me messed up for so long...my ex was such a horrendous liar. If and when she was ever to say 'this statement is false.', you'd know she'd have been lying and it'd have still somehow worked out mathematically
Wow
He seems to write TO the audience, which most textbooks have a problem doing. AND, the intended audience ISN'T people who already have 500 PhDs, like most textbook authors seem to think is a fantastic idea. 4:00 From my very short experience with EoC (end of chapter) problems, if we can look back in the text and see the PROCESS for solving the question, then a solution is almost redundant. Also, there's Chegg, but Chegg has wrong answers sometimes and their handwriting is impossible to read in too many cases.
It is very reasonably priced for a higher mathematics book as well.
Math Sorcerer: that story about the purple crayon is hilarious (and cruel). Was your Professor named Harold of Harold and the Purple Crayon fame? If he were, you were lucky he didn't draw monsters on your homework.
1:22 - fun fact, the dedication is a haiku, but only if you pronounce "entire" with three syllables as "en - tie - er"
I had a similar "purple crayon" experience in my first assembly language course. The professor insisted that we include lots of comments in our programs. For a bit shift command my comment was "multiply by 2." When I received the graded listing back this comment was circled in red ink with the phrase, "I can read!"
How would you compare this to How To Prove It?
i think own it i know i used it for class's before
is this any better than the Vellemann book "How to Prove It: A Structured Approach, 2nd Edition"???
A question for the Math Sorcerer. I was reading this books reviews online and one said that this book is a good introduction to discrete mathematics. The exact quote was “This book is roughly a first semester college course on discrete maths”. Is this an accurate description? I am self studying programming / computer science and before I take a deep dive into Algorithms, I wanted a good foundation in basic CS maths. I finished my formal education 20 years ago and I will need a gradual reintroduction to maths. I am looking at Proofs, Introductory Discrete Mathematics by Balakrishnan and Introduction to Graph theory, three books featured on this channel. I like the fact that they are all relatively inexpensive. Any thoughts / suggestions?
What is intended audience for this? I want to acquire mathematical thinking , also not a math major, but i really want to learn math can I take this book? ,
Im starting a course in data science, but i have stopped studying math more than 10 years ago, but i never really dedicated myself, but know suddenly i feel desire to learn all the math i can, is this a goodbook for a complete noob? (I did calculus in college like 10 years ago)
Now I recognize the name. I follow him to n Twitter.
I wish I had enough time and patience to write something that is sorely missing in mathematics: an introductory survey of logic, model theory, set theory, computability, and proof theory. If you want to learn logic and its main fields you have to combine different books with different notations and conventions, with a lot of overlapping material. It's maddening.