When To Start Math Proof Writing
HTML-код
- Опубликовано: 29 июл 2024
- I talk about proof writing and when the best time to start is. Do you have advice for people? If so, please leave a comment below.
Proof Writing Book: amzn.to/468f18h
My Courses: www.freemathvids.com/
Useful Math Supplies amzn.to/3Y5TGcv
My Recording Gear amzn.to/3BFvcxp
(these are my affiliate links)
**********Math, Physics, and Computer Science Books**********
Epic Math Book List amzn.to/3F98vT1
Pre-algebra, Algebra, and Geometry amzn.to/3FdbwSn
College Algebra, Precalculus, and Trigonometry amzn.to/3UKjvfb
Probability and Statistics amzn.to/3FaaxCq
Discrete Mathematics amzn.to/3P6jPE4
Proof Writing amzn.to/3XXukxo
Calculus amzn.to/3iEH3F3
Differential Equations Books amzn.to/3Fac5wi
Partial Differential Equations Books amzn.to/3uyk1SV
Linear Algebra amzn.to/3VHiN3G
Abstract Algebra Books amzn.to/3FzLZEr
Real Analysis/Advanced Calculus amzn.to/3VIO4Ua
Complex Analysis amzn.to/3P6kbuo
Number Theory amzn.to/3UEm3vw
Graph Theory amzn.to/3BfRd5m
Topology amzn.to/3BiAGhe
Graduate Level Books amzn.to/3uv1eIg
Computer Science amzn.to/3Hh8kaU
Physics amzn.to/3BhPCMp
These are my affiliate links. As an Amazon Associate I earn from qualifying purchases.
If you enjoyed this video please consider liking, sharing, and subscribing.
Udemy Courses Via My Website: mathsorcerer.com
My FaceBook Page: / themathsorcerer
My Instagram: / therealmathsorcerer
My TikTok: / therealmathsorcerer
There are several ways that you can help support my channel:)
Consider becoming a member of the channel: / @themathsorcerer
My GoFundMe Page: www.gofundme.com/f/support-ma...
My Patreon Page: / themathsorcerer
Donate via PayPal: paypal.com/donate/?cmd=_s-xcl...
***********Udemy Courses(Please Use These Links If You Sign Up!)************
Abstract Algebra Course
www.udemy.com/course/abstract...
Advanced Calculus Course
www.udemy.com/course/advanced...
Calculus 1 Course
www.udemy.com/course/calculus...
Calculus 2 Course
www.udemy.com/course/calculus...
Calculus 3 Course
www.udemy.com/course/calculus...
Calculus 1 Lectures with Assignments and a Final Exam
www.udemy.com/course/calculus...
Calculus Integration Insanity
www.udemy.com/course/calculus...
Differential Equations Course
www.udemy.com/course/differen...
Differential Equations Lectures Course (Includes Assignments + Final Exam)
www.udemy.com/course/differen...
College Algebra Course
www.udemy.com/course/college-...
How to Write Proofs with Sets Course
www.udemy.com/course/how-to-w...
How to Write Proofs with Functions Course
www.udemy.com/course/how-to-w...
Trigonometry 1 Course
www.udemy.com/course/trigonom...
Trigonometry 2 Course
www.udemy.com/course/trigonom...
Statistics with StatCrunch Course
www.udemy.com/course/statisti...
Math Graduate Programs, Applying, Advice, Motivation
www.udemy.com/course/math-gra...
Daily Devotionals for Motivation with The Math Sorcerer
www.udemy.com/course/daily-ma...
Thank you:)
Writing proofs is one of the most fun things on doing math. A proof shows you, why is something in a way it is.
Yes, I agree! All that is needed for proofwriting is the ability to read/ write and a motivation to think more rigorously. Basic logic (P's and Q's) is extremely helpful but can be picked up along the way.
so far this channel is the most beneficial and helpful one to me nowadays. as an electrical engineering student, your videos inspire me a lot! appreciate it.
Your videos are awesome! Your students are privileged and I hope they know it.
I love Maths Sorcerer ! Thank you sir for devoting your time here on this channel and initiating such a wonderful community of people from all over, it's simply a pleasure to be able to view this. I'm really glad. I'm a high schooler yearning for a Bachelor degree in Mathematics, I love how you absolutely encourage people about studying and learning rather than stifling their desires and stating "Later you're not there yet..you need this you need that.."
You are one of the reasons I could be back on the subject after falling out for 2 years. THANK YOU
Great video man, I really loved it. For some reason I found this video to be rather touching.
Great vid as always! I was able to find a PDF version of this book and managed to print first two chapters which im currently studying just for fun. Its def diffeent than The Book of Proof.
I recently discovered that Velleman has a proof-based Calculus book, "Calculus: A Rigorous First Course", published by Dover, so not hugely expensive. It's on my wantlist.
Don’t know about the US but in the UK, the UKMT Olympiad papers enable you to learn proof writing skills from age 12-13 pretty much. The questions don’t require anything more than the level of maths taught in school at that age group but are all about rigorous logical arguments. Great place to start and if worked on consistently it means that by the time you’re doing college/uni maths classes, proof writing is basically second nature and you can focus on the ideas and concepts of that class.
Wow, this video hit me like a ton of Bricks!!! I dropped out of Highschool in the 9th grade. I got my GED at 40 and then my Associate Degree in Electrical Systems. I applied to a University and started teaching Electrical as an adjunct. I hit my first wall: Calculus and after withdrawing twice I finally got through it. Hit the 2nd wall: Physics, getting a D... retook and passed. Now, I have hit my third wall: Intro to Higher Mathematics aka Proofs. If I do pass this class(3rd exam next Friday and Final in a couple weeks) I would be amazed, and if NOT I am wondering if I should keep trying or pick a different major. Anyway, I am glad to find this video because #1 I am checking out that book asap and #2 the inspiration of you sharing that you are GED student who made it through college. Thanks for the great videos and thank you for sharing your story!
If you want to get a maths degree in Germany, you learn proof writing from day one at university. A level maths classes in high school start to teach you proof writing and deduction. Deduction is heavily taught in German A level physics classes in high school too. You start with proof-based calculus and linear algebra in pure maths if you want to study pure maths at university. Calculus, vectors, matrices and linear equation systems are done in high school, not only on A level. So a good knowledge of these topics is expected. Universities offer a two week preparation course before the beginning of the first semester where you review everything that's expected from high school. I learned induction proofs and direct / indirect proofs on a basic level in high school. I didn't have A level maths but A level physics. All high school maths topics are also expected for university physics, computer science, chemistry and engineering.
There seem to be fundamental differences in the US system.
I also fail to answer most math competition questions (william putnam mathematics)but I thank myself to learning how to write proofs because now I can answer very few mathematics questions coming from william putnam,
I recently finished your College Algebra course and I loved it, I enjoyed it so much that now I have a hard time studying from other resources, but I want to learn more Algebra. Will you in the future create a Precalc or “Everything you need to know to master Alg&Trig” course?
I think that proof writing and logic should come with elementary algebra at the latest. You can prove things that people have trouble with, like why divisionof fractions is equivalet to invert and multiply or why (-1)×(-1)=1.
I believe in introducing "proofs" from elementary school. I know this might sound "impractical" but I will clarify why this is a good approach if you are interested to know (read below).
For me, proofs (in mathematics) are arguments that justifies the truth of claims/statements. Also, I believe there are levels of "rigorousness" (i.e. preciseness) of a proof. So, even though at an early age, most children are not capable of comprehending "university-level" proofs, this does not justify not introducing a simplified versions of those arguments for the topics they are learning at that age.
Imagine if basketball players have been trained like students in math! Children will be required to only run in the around the court without a ball. They should not play a real game but need to wait until they get to high school to start practicing with basketballs and play real games because at the early age they cannot make 3-pointers like Steph curry nor they could dunk like Micheal Jordan 😅
Could you do a video on explaining the li e integrals?
I’ve taken the calculus series, Modern Differential Equations , Elementary Linear Algebra but my engineering degree does not require Discrete math or Proof writing. I wish it did. I love math and physics more than I like Engineering. I do like the classes like Dynamics and Circuits analysis. But i covet higher mathematics haha
I agree you have to start very soon with reading and writing proofs. I think your chose for a first book is not the best. I would say start with Polya: How to solve it. Not a proof book but you get a great feel for it. Than I would do: Proofs, A long-form mathematics textbook and then the How to roof it book. Later: An introduction to mathematical reasoning by Eccles etc. etc..
Hello and thanks for doing this ! What's your opinion of Chartrand et al proof book?
Hay que empezar cuanto antes. Las demostraciones fáciles motivan para hacer las más difíciles
I am 23 year old and final year student studying bsc mathematics(3 year degrees program) in south africa , I became very interested in pure mathematics this year , when proof based subject like real analysis, abstract algebra,complex analysis, logic and set theory we introduced to me,but now I am very addicted to pure math and i am running out of time .the only thing I want to do is mathematics , I wish 🤞 this modules were introduced to me at young age.Now I have to catch up .
My university haven't yet introduced subjects like topology,functional analysis. But I self studied some basics concepts in those subject
Omg I'm the same. I'm finishing matric this year even though I am your age 😅
It's a lot like having someone tell you that you remind them of Bertrand Russell. You know that it's not true, but the boost it gives your confidence, that's a whole different matter.
i kinda relate on looking for proofs in a math book
i just like to know where did the theorem come from and also because I'm self learning proof writing
I can do the computations in mist math including the Calculus I've done so far BUT I don't think I'll do so well with math proofs if How To Read And Do Proofs is a indication of what proofs ate like I'm fine with that too Im also going to keep readin books on math proofs regardless whether i ever understand math oroofs
Hi.
Big fan.
Alway come to this channel to get motivation to do more math. You are doing a great service to humanity.
One question though. Who wrote the first proof in maths. And how did that develop over a period of time.?
The Greeks over 2500 years ago. Thales was the earliest recorded, but a few hundred years later Euclid was the "father" of geometric proofs.
Hey, I just purchased all your calculus lectures in Udemy. Where can I ask a question if I have one in the future?
I may read proof writing to become better in corporate world comunications . Let's see!
Same here. I bought a copy of the the Valleman book for $21. I usually don't want to spend more than $10. LOL
i think, the Supreme Truth about this Universe is beyond mind and words... it can never be expressed in the form of a theory or an equation.
The more we seek and search for an answer to the riddle of this Universe...the more it will slip away from our grip... and the search will never be fulfilled. It may be like travelling into Space hoping to find its endpoint.
The only really meaningful thing we can do is.... to be Still...transcend our minds... and wake up from this dream.
🙏
how useful would be this for an engineer ?
How do I reach mathematical maturity?
You can hard-bound any soft-bound books...
❤
Scary! The only time I can remember having to teach anyone was when a couple of school kids on work experience came into my office, and I had to show them the basics of taxation. I think I might have put them off accountancy for life. 😂
What is the difference between an argument and a proof? an argument is mean to convince a rational person, while a proof is meant to convince an irrational one.
Just do it. You should struggle with tons of proof problems just like building muscles.
Hello I follow you in Turkey Im 14 years old.But my english is not enough to understand your videos so please turkish sublittled.
Use an AI dub
"Math Prof Writhing"
About those scams... random comment here but has anyone else noticed scammy commercials with investment opportunities that when you click on the three dots menu lead to the actual website instead of the menu where you opt out of those?
Bruh no way you were a dropout 😮😮😮
Set theory & predicate logic should be taught in middle school. Period.
Not all kids are mature enough for that. I wasn't.
You are lucky you are a male.
Why is that
@@thewitchking2556Yea, what a weird post….
Everyone should support Gaza ,because we have The same blood and body
Gaza suffer from trouble crimes from Israel 😢
If you have humanity, you shouldn't leave Gaza alone
Gaze ,my love. Gaza my love ❤❤🇵🇸🇵🇸🇵🇸🇵🇸❤❤
❤Gaza!!!