You Can Learn to Write Proofs With This Book

[@frankchen4229]

doing rigorous mathematics with classical music in the background is the most therapeutic activity

[@TheMathSorcerer]

Indeed!!

[@lyamschuss8786]

I agree, at least doing polinomyals operations is more enjoyable with classic music

[@frankchen4229]

@@lyamschuss8786 oh im talking real analysis, graph theory, linear algebra, and topology

[@jacobharris5894]

Frank Chen The only one of those I’ve learned so far is Linear Algebra but I assume your talking about a more rigorous version of the subject than what I learned.

[@GoatzAreEpic]

Are you insane? Have you never had the moment when you were 100% stuck on a proof and you just want to smash your face in?!

[@franciscoreyes7370]

"How to prove it" by Velleman, is a very good book. We use this in a course called "intro to advanced mathematics" for 2nd year math majors where I teach. This is a very readable intro to proofs

[@TheMathSorcerer]

Awesome !

[@paolojosemarizafra5366]

@@TheMathSorcerer sir please do a review on this book. I send all my love to you and this channel! Big fan :-)

[@StaticBlaster]

I still have that book. I had to buy it for my discrete mathematics class.

[@jennifertate4397]

I used this book too--sadly it has zippo answers for self--study.

[@juanmanuelalvarez4604]

Ahora que se que hablas español te dejo mi agradecimiento, motivacion para estudiantes de matematica, literalmente eres el primero y te necesitabamos tanto!

[@TheMathSorcerer]

Gracias por este mensaje!!!

[@bebarshossny5148]

i don't know why your videos don't show up in my feed even though i'm subbed

[@TheMathSorcerer]

Weird!!

[@1willFALL]

Wow this is the exact book I used in my Basic Concepts of Mathematics course during undergrad. If I'm not mistaken some answers in the back say "exercise left to the reader" which I remember was so disheartening 😅 ahh good ol days

[@TheMathSorcerer]

Awesome!!

[@Juniper-111]

The Book of Proof by Richard Hammack is another good text on proof writing. It is very readable, focuses on proofs relating to sets and other discrete maths ideas, and contains many exercises with solutions.

[@TheMathSorcerer]

Yes it’s a great book!!

[@lazizaakramova8602]

I absolutely enjoy watching your videos, and very love your reviews of math books, thank you! Moreover, want to say thank you to all the people who write the comments with some additional recommendations!

[@pianoforte17xx48]

The book's cover is very attractive. I judge a book by its cover 😈😂 fr it looks very organized and comprehensive. Thank you for sharing!

[@TrackopGaming]

I used Proofs and Fundamentals: A first course in abstract mathematics by Ethan Bloch in my intro to proofs course. I think it's a great introductory book.

[@jennifertate4397]

Hi. I do self--study now. Does this book have answers? Thanks.

[@TrackopGaming]

@@jennifertate4397 If I remember correctly, I'm afraid that it doesn't have any answers. However, the problems are fairly standard, so you should be able to find most of the answers in sites like mathstackexchange.

[@punditgi]

Thanks for all the book recommendations! 😃

[@TheMathSorcerer]

You are welcome!

[@dez-m]

Thank you so much for these recommendations! I am a student at UC Berkeley studying Math and Mechanical Engineering so these are very helpful!

[@FlaminTubbyToast]

Math and art require the same type of practice. In art the most one consuming part of practice is not doing art, rather it’s is time taken to understand what and how you observe something so that you can translate it to the the page. In mathematics that process is wholly internal.

[@uppermoonzeroo]

Can you review the book BASIC MATHEMATICS by SERGE LANG

[@jennifertate4397]

I've recently learned that trying (most) of the examples myself before looking at the given answers is an excellent way to have a few more answers/challenges. And it looks like this might be the case with this book.

[@Ali124hdkflc]

I've actually learned most of this content in my theoretical foundations course in computer science. I'll be taking introduction to analysis 1 next fall and I'm excited!

[@TheMathSorcerer]

Nice!!

[@Ali124hdkflc]

@Rick Does Math I'm not sure if you're being sarcastic or not but I'll take your word anyway 😂

[@thatfatguy7591]

How do you remember so much math?! Im going into my senior year of college and im looking back at what ive learned and i sometimes struggle to remember concepts from cal 1 back from freshman year. Im always amazed at how much my professors know and im like how can i be so knowledgeable!

[@TheMathSorcerer]

I forget a lot but I do a little everyday

[@frankchen4229]

you get more fluent the more you do it. If I were to take an ordinary differential equations quiz right now, I would get an immediate zero, because I hardly modeled differential equations.

[@wesrobertson8753]

Love your videos Sorcerer. I know that anytime I need suggestions you've got a video for it. Thanks to comments for suggesting other books as well. I love collecting pdf's No one can have too many texts haha.

[@TheMathSorcerer]

👍

[@almokatil2994]

Please make a video about geometry books 🙏🙏🙏🙏

[@daved1113]

Just write enough big words that the person grading it can't figure out what it says and they have to give you full credit. Ez everytime.

[@TheMathSorcerer]

Haha

[@KMMOS1]

This suggestion may not work for proofs in a philosophy course.

[@youssefokeil2264]

Can you make a video recommending books for the math needed in machine learning / data science etc? Because i am kinda overwhelmed

[@krazynut454]

awesome review!! make a video on numerical analysis.

[@TheMathSorcerer]

😀

[@ykr786]

Can you tell me what is one math course you have taken that completely opened your mind ?

[@TheMathSorcerer]

Abstract algebra

[@Mathuniverse28]

Wonderful!!!

[@stelina7919]

good job on this channel. keep it up.

[@OneworldKW]

I learned proof 6 months again, but I feel like I forgot most of the material 😔

[@TheMathSorcerer]

Aww

[@muskamelogbi4716]

Dear professor may l ask you a question, is optimization calculus an exception or a part of infinitésimal calculus ? Thanks take care

[@fndTenorio]

I want this book! Hey sorcerer, can you review "Visual complex analysis"? I forgot author.

[@TheMathSorcerer]

Yeah I don’t have that book yet I know which one you are talking about though ! I need to find an inexpensive copy👍

[@pepegrillo1749]

Thanks sir

[@cali5nia_]

I have a friend who is interested in learning maths as a hobby, however her last math class was a couple of years ago (high school Algebra 2). She attends trade school so a college algebra/trig/calc course is really not available to her. I want to get her into fun, proof based maths as quickly as possible. Is this the book? Or is there better for a total beginner? I myself am beginning grad school in the fall and have ample teaching experience, just looking for some pedagogical advice. Edit: looking at the introduction it seems like they need a calculus background. Any opinion is useful.

[@subodhgautam649]

looks like a nice book...

[@pavelexpertov]

What's pre-requisite for mathematical proofs?

[@TheMathSorcerer]

For a book like this? I mean just some basic math experience maybe.

[@pavelexpertov]

@@TheMathSorcerer i am just doing maths for machine learning (machibe learning mastery guide) and i was hoping that doing math proofs will improve understanding of linear algebra equations and math functions.

[@paultactico]

Mi biblia para las demostraciones matemáticas es el libro: Book of proofs by Richard Hammack. PD: Excelente vídeo y gran canal. Saludos desde Venezuela, profesor.

[@dwight4k]

Why can't I find it? Does anyone have the ISBN? And I mean this exact book in the video.

[@dwight4k]

@@MatematicaPaP Funny... the description didn't load before. Thanks.

[@erinyadav]

In which order, should i read these books : dan saracino, john b. Fraleigh, gallian, beacy and blair, i.n. herstein ( topics in algebra )

[@TheMathSorcerer]

I think saracino first , try that and supplement it with the others if you get stuck

[@SSMJackob]

Hi Sir, fellow math major here, will you consider doing a video about job opportunities after studying pure math. I really struggle to find well paid job after that much hard work (In Poland teaching earns you 4$/h so it's not a viable option for me) I know google has some cool positions but i'm really interested in your opinion on the subject

[@TheMathSorcerer]

Sure good idea thank you!

[@pinklady7184]

I was today wondering what a barred arrow ↦ means. Why is it different from a plain arrow → ?

[@ramirezramirez475]

Tha difference is that they are different symbols.

[@TheMathSorcerer]

The first one is an implication arrow, the second one is used in function notation

[@pinklady7184]

In one book on Abstract Algebra by Lara Alcock, I notice that author uses barred arrow for mapping only elements to elements, and plain arrows for mapping sets to sets. Her commutative diagrams all illustrates her usage of barred arrows.

[@aneeshsrinivas9088]

What if my main issue is not being that confident as a writer.This is the bane of my existence when it comes to math proofs and i'm worried about it. I will add that I most certainly do like the idea of math proofs,but my own lack of confidence is killing me in my math classes.

[@TheMathSorcerer]

your comment was well written:) Even if your english is bad there are certain words/phrases you use over and over again, so you can do it I think!

[@oalivislove7630]

Hello sir, I'm currently an economics major that want to study statistics in graduate school. We have 4 semesters of maths for economists (calculus and linear algebra) and some statistics/probability courses (4). The problem is that in our calculus classes, there are zero trigonometry... We have been up to some basic constrained optimization and lagrangian and will will do differential equations next year. Same for linear algebra, it's mostly matrices, without no trig.. Do you think it's a problem for someone planning to study statistics in a master ? Sorry, I know my question is not related to your vidéo, and thank you for all your contents! Cheers

[@TheMathSorcerer]

Well it can’t hurt to learn some trig, probably worth it. You don’t use much in statistics but it’s worth knowing it!

[@Math-xb1ml]

i love to call it the math gaming 🤪 as the saying that "Mathematics is the logic game of inventing logic games " agree 100000%

[@abedurdnia2138]

Can you make a review on this book "A first course in mathematical logic and set theory" By Michael L. O'Leary it is a really strange and fun book I recommend you take a look at it.

[@chispun2]

How does this book compares to the Sussana Epp or the Chatrand?

[@TheMathSorcerer]

Oh those are both amazing books, hard to compare because I like all 3 and don’t want to pick favorites haha. I really really like chartrands book and also Epps is amazing.

[@TheMathSorcerer]

I know some people who think chartrand is better than this one. I’m not sure if I agree or disagree, both are good.

[@hechpee]

Can't find this book anywhere 😒

[@TheMathSorcerer]

Did you try the link in the description?

[@hechpee]

@@TheMathSorcerer yeah i did, shipping is a nightmare i dont live in the states

[@davidsoto4394]

Why do they make us study proofs in Geometry in highschool in America? I understand that those proofs and these are different and at a different level but when I was in highschool when I would ask the teacher for a concrete answer for why we were being required to study proofs in Geometry the teacher was unable to provide me a concrete answer for why we were learning proofs to me in Geometry because to me and for me it was very hard, confusing, and abstract. I loved Algebra in school, I did not like Goemetry in school, but I loved Biology, History, Spanish, reading, and Chemistry.

[@spivak4342]

Would you recommend that book before discrete maths ?

[@TheMathSorcerer]

A lot of the topics in this book are covered in discrete math, so yes I think this will help you in discrete

[@krishnamohansigarambotla4787]

Can you explain what are significant figures?

[@aayushhmitra7680]

I am going to start study number theory should I study to write proof before studying number theory?. BTW love your videos

[@TheMathSorcerer]

Yeah it will definitely help, a lot. Proof writing will help all of your math especially number theory!

[@ramirezramirez475]

Knowing how to write proofs is a game changer.

[@franciscoreyes7370]

Number theory at any level in college is a proof heavy course. Learn basic modular arithmetic ahead of time if possible.

[@aayushhmitra7680]

@@TheMathSorcerer thnx

[@aayushhmitra7680]

@@franciscoreyes7370 thnx

[@ojeikereraphael5212]

I'm 17 years old I can not read and write very well can someone please help me out

[@alexavinagre470]

What Calculus book would you reccommend for my nephew? I reccommended him the James Stewart Calculus, or Larson, but he doesn't really get the wording.

[@AtriumComplex]

How old is your nephew.

[@AtriumComplex]

?

[@franciscoreyes7370]

Calculus textbooks are overpriced and are all very similar. Search pauls online notes, or look for a free open source textbook.

[@TheMathSorcerer]

Try a used copy of applied calculus by beresford and rocket, look on bookfinder.com and set a price filter of like 10 dollars, should work maybe!

[@alexavinagre470]

@@thefourthbrotherkaramazov245 I'll try that Thank you!

[@kaganozdemir4332]

Hey man! Great recommendation as always. Have you any recommendations for me, who wants to learn math while doing programming? I educated myself in machine learning and I loved it, and want to progress with more computational, algorithmic side of math. But it has been a while since I've graduated, so taking classes will not be an option for a while. Do you know how I can demonstrate my (to be) math skills? In other words, what kind of projects can show programming and mathematics skills simultaneously? Thanks in advance.

[@닐리아담]

probably want to look into discrete math

[@kaganozdemir4332]

@@닐리아담 actually i started grad school in statistics!

[@alltogetherplaytubefingerf6045]

I've noticed that your backdrop - the bookshel full of books, often rearranged, now has empty shelves. Are you selling your older books?

[@coreyhaskins7768]

Lookatchu!

[@Bob-tu9jq]

Don't you worry about copyright for using this book's footage?

[@lyamschuss8786]

Now that I know you know spanish, did you read "Matemática... ¿Estas ahí?"?

[@khadeejasoomro5840]

Where can i get this book in pdf format?....i really need it

[@AnarchySane]

How about Zorich Mathematical Analysis?

[@TheMathSorcerer]

I should check that out!

[@AnarchySane]

@@TheMathSorcerer great news. Thanks. У нас в России есть только Рудин и Зорич из продвинутых учебников по анализу.

[@aghrajhsayin5698]

hey please help me to learn maths how should i start from beggining ;) please i wanna think deep with the help of maths how should i start :) please guide me how should i start and from which topic

[@TheMathSorcerer]

Search for math start to finish and I have a video it shows you👍

[@aghrajhsayin5698]

@@TheMathSorcerer ok

[@Ali124hdkflc]

Have you solved all of the examples?

[@TheMathSorcerer]

No I’ve only done some of the problems and read portions of this book.

[@oraz.]

This seems a lot like the topics from discrete math

[@Rasime-t6l]

414L. Thank you 🌺

[@joeblow4938]

Who seriously wants to spend their time learning to write proofs? I much rather learn math to help me solve problems.

[@frankchen4229]

>"who wants to spend their time learning to write proofs" >"I much rather learn math ..." Huh?

[@joeblow4938]

​@@frankchen4229 If you don't understand that you must be a mathematician, not engineer or scientist

[@hybmnzz2658]

Math makes more sense to me with proofs but everyone's different.

[@stuart2010ification]

Can Mathematics prove the exist of God?