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.
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]
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!
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.
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"
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.
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.
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).
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
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)
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.
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"?
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.
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.
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.
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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.
thats where the real math starts!
We appreciate your recommendations. They’re helpful in many ways.
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.
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]
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!
Nice book. I see the checkpoint at 8:14. 😊
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.
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"
Good choice, but I recommend Terras Audrey book: Abstract Algebra with Applications (2019, CUP)
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.
Every word? Even the index?😊 I love your Channel
Maybe not the index lol
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.
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).
Please review Michael Artin's book on Algebra
There is a new edition and has more material.
What's a book on AA for more advanced users?
@@keylanoslokj1806 Paolo Aluffi's Algebra Chapter 0. Check it out!
THANK YOU
You are welcome!!
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
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)
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.
in dan's book last 5-6 few questions of exercise are unable to do
Thanks! I've been learning from this book from a while. Do you know where I can find worked solutions to the exercises?
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"?
Math Sorcerer? Is the international softcover edition of Saracino's ABSTRACT ALGEBRA the same or as good as this hardcover edition? Just checking.
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.
@@TheMathSorcerer 10-4 Good Buddy!!! :) :) :) :)
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.
sir will you review mathematical analysis by gn berman
I love sharks🦈!
I wonder how many people who study math, let alone Group Theory, are cubers. 🤔
Anyone knows how to get any book pef for free!! 😭😭🍓🍓
Library genesis
@@keylanoslokj1806man of culture
@@keylanoslokj1806 i cant find my specific book there, can u suggest like 'z libary alternative' plsss if u want ofcccc!! 💜🍓
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.
APPLICATIONS NINJA APPLICATIONS..WHO CARES ABOUT THE EXAMPLES..