Learning Abstract Algebra: The Best Book for Beginners

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The Math Sorcerer

The Math Sorcerer

Күн бұрын

Пікірлер: 41
@markfullbrighton5070
@markfullbrighton5070 Жыл бұрын
I applaud your love and dedication to mathematics. I used to be good at mathematics myself up until they started putting more letters than numbers in.
@joshpark8
@joshpark8 4 ай бұрын
thats where the real math starts!
@sophiaisabelle027
@sophiaisabelle027 Жыл бұрын
We appreciate your recommendations. They’re helpful in many ways.
@ralphconroy3696
@ralphconroy3696 Жыл бұрын
Greetings from York UK .Thank for a wonderful and colourful site that gives one the taste for maths and spend time on reading the subject and diving into maths for real. Thanks Maths Sorcerer.
@brookestephen
@brookestephen Жыл бұрын
i found Velleman's 3rd edition & solutions. I found Saracino's 2nd edition. Looks amazing! Did a lot of induction & deduction proofs in Comp Sci and Philosophy, so that's helpful here. We used this text at University of Toronto: De Angelo + West - Mathematical Thinking - Problem Solving and Proofs 2e [2000]
@nikolaminkov2675
@nikolaminkov2675 Жыл бұрын
Hi! I am from Bulgaria. when you made the video about the spanish book I bought it. I looked at it and saw that the problems are easy compared to the algebra workbook that was used in our high school 30-40 years ago. I could recommend you one of the some bulgarian books like : 1"сборник от задачи по алгебра за 7-10 клас" 2."ръководство за решаване на задачи по математика част 1"
@martinhawrylkiewicz2025
@martinhawrylkiewicz2025 6 ай бұрын
How to Prove it is s brilliant book. Im teaching myself nathematical proofs by studying that book every day. Some of the exercises are a bit chalenging I think but its well worth it. Another great book is Book of Proof by Hammack. Brilliant!
@nazmul_khan_
@nazmul_khan_ Жыл бұрын
Please review Michael Artin's book on Algebra
@argonwheatbelly637
@argonwheatbelly637 Жыл бұрын
Nice book. I see the checkpoint at 8:14. 😊
@navierstokes2356
@navierstokes2356 Жыл бұрын
There is a new edition and has more material.
@keylanoslokj1806
@keylanoslokj1806 Жыл бұрын
What's a book on AA for more advanced users?
@navierstokes2356
@navierstokes2356 Жыл бұрын
@@keylanoslokj1806 Paolo Aluffi's Algebra Chapter 0. Check it out!
@dumbfrog123
@dumbfrog123 Жыл бұрын
I have the How to Prove it Book and the Gallian Abstract book. To me, it is fun to read one to two pages a day. I get lost if I read more than three pages. By the way, that one to two pages reading takes me 30 minutes.
@higherle-bi2yi
@higherle-bi2yi Жыл бұрын
Hello! A few days ago, I finished reading the book "Baby Rudin," and I'm excited to study abstract algebra. Can I study it without knowing anything about linear algebra? I haven't studied it before.
@aradarbel4579
@aradarbel4579 Жыл бұрын
Linear algebra is a part of abstract algebra! In theory you shouldn't need it for other parts of the subject, as long as you have a resource that doesn't require it. Some books put linalg in the beginning, some put it after a few other things, and some don't have linalg at all. In my opinion both linalg and group theory are good entry points, if taught correctly. In my opinion you should just find a book like the one presented in the video and start reading, if you see that you're missing some prereqs then go get them or pick another book. btw, if you're serious about algebra & pure math you will probably learn linear algebra *at least* twice: the first time at an introductory level (with vector spaces, matrices, linear maps) and then again at a higher level (with modules, algebras, lots of ring theory, and category theory).
@martinhaub6828
@martinhaub6828 Жыл бұрын
It's too bad that the instructor solution guide for this book, and others like it, aren't available. It's so frustrating to work a problem or proof and not really know if you got it right.
@markborz7000
@markborz7000 Жыл бұрын
Good choice, but I recommend Terras Audrey book: Abstract Algebra with Applications (2019, CUP)
@ronaldjorgensen6839
@ronaldjorgensen6839 Жыл бұрын
THANK YOU
@TheMathSorcerer
@TheMathSorcerer Жыл бұрын
You are welcome!!
@marivexx
@marivexx Жыл бұрын
hii - i saw your video on calculus books you recommend for beginners, but im not necessarily a beginner because i took AP calculus AB last year and i would just like a refresher/introduction to calculus 2 before i start going straight into calc 2 - also i would like to keep the trigonometry in there because i would like to practice it more anyways
@Apuryo
@Apuryo Жыл бұрын
silvanus Thompson calculus made easy is one of his recs. it's a great introduction to derivatives and integrals explained simply. after that, spivak Calculus is a great book because it shows you some proof, which is great cuz you have a more comprehensive understanding of where the math comes from,it's a bit hard and spivak himself recommended previous calculus knowledge before starting the book (thus silvanus Thompson is a nice prelude)
@dumbfrog123
@dumbfrog123 Жыл бұрын
Not the Math Sorcerer. Just my 2C. It depends on whether you are in high school or college. If you are still in high school, then you can continue with your textbook and pick up copies of Barron and Princeton BC books. If you are a college student, then you should select the book based on your professor's syllabus.
@seris2195
@seris2195 Жыл бұрын
Thanks! I've been learning from this book from a while. Do you know where I can find worked solutions to the exercises?
@jidrit999
@jidrit999 Жыл бұрын
in dan's book last 5-6 few questions of exercise are unable to do
@pinedelgado4743
@pinedelgado4743 Жыл бұрын
Math Sorcerer? Is the international softcover edition of Saracino's ABSTRACT ALGEBRA the same or as good as this hardcover edition? Just checking.
@TheMathSorcerer
@TheMathSorcerer Жыл бұрын
Not sure but it probably is. All of international versions are the same I think. I have few international versions of various books and they seem identical.
@pinedelgado4743
@pinedelgado4743 Жыл бұрын
@@TheMathSorcerer 10-4 Good Buddy!!! :) :) :) :)
@amongus-xq8lu
@amongus-xq8lu Жыл бұрын
sir will you review mathematical analysis by gn berman
@joannloos17
@joannloos17 Жыл бұрын
Every word? Even the index?😊 I love your Channel
@TheMathSorcerer
@TheMathSorcerer Жыл бұрын
Maybe not the index lol
@thecosmos-lt9yg
@thecosmos-lt9yg Жыл бұрын
Just curious? But, how could you possibly know what the best abstract algebra book is for beginners without having read through ever abstract algebra beginning textbook out there? Don't you really mean that this is a good book, but not necessarily the "best"?
@PromesseclevyMboutakamba-be7do
@PromesseclevyMboutakamba-be7do 12 күн бұрын
Salut à tous je suis vraiment très intéressé par ses livres j'aimerais apprendre les maths avance avec vous comment faire pour intégré le groupe j'aime trop les maths
@nguyenquangminh4814
@nguyenquangminh4814 Жыл бұрын
I love sharks🦈!
@BARBITURICI00
@BARBITURICI00 Жыл бұрын
Good morning Mr. Math Sorcerer. I speak as a beginner. Apart from the basics of mathematics, knowledge of which is fundamental, speaking in steps, what are the studies (topics) that would then allow me to undertake the teachings of the so-called proof theory? I am very interested in it as branch of mathematics. I find it fascinating. Thanks for your answers.
@shototodoroki6822
@shototodoroki6822 Жыл бұрын
Anyone knows how to get any book pef for free!! 😭😭🍓🍓
@keylanoslokj1806
@keylanoslokj1806 Жыл бұрын
Library genesis
@rusi6219
@rusi6219 Жыл бұрын
​@@keylanoslokj1806man of culture
@shototodoroki6822
@shototodoroki6822 Жыл бұрын
@@keylanoslokj1806 i cant find my specific book there, can u suggest like 'z libary alternative' plsss if u want ofcccc!! 💜🍓
@argonwheatbelly637
@argonwheatbelly637 Жыл бұрын
I wonder how many people who study math, let alone Group Theory, are cubers. 🤔
@Number6_
@Number6_ Жыл бұрын
You neglected to mention the option were you get eaten by the sharks and sink to the bottom. A common failing of the purist undergrad lecturer. Bad general advice. Unless you are very good at proofs stay away from these types of courses.
@manleom2260
@manleom2260 Жыл бұрын
APPLICATIONS NINJA APPLICATIONS..WHO CARES ABOUT THE EXAMPLES..
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