0:58 Textbook by Michael Artin. 4:06 Actual math starts. Review of elements of linear algebra. 25:00 Definition of the general linear group, GL_n(R). 35:48 Definition of a group; more examples. 44:44 Definition of the symmetry group, Sym(T). 49:17 Homework (see Textbook).
I'm a CS PhD student at CU Boulder, but have a burgeoning interest in deeper mathematics; just like CS, I find mathematics to be highly relevant to anything and everything - and besides, what would CS be without mathematics?! Love this lecture and series, and I'm sure it will serve me well with my self-studies! This professor is fantastic! Thanks for the upload.
Apart from being an eminent mathematician, Benedict Gross is also a great teacher who knows how to spice up the unbearable dryness of abstract algebra. Thnx!
I love mathematics, in the early days, I thought I didn't. As I got older and began to explore it for myself, I began to realize how much influence it has on every day life. Simply state, I now even dream in numbers sometimes. Thanks to mathematics, I've been able to convert frustration and displeasure into recognition of bettering. The more challenging a material is to learn, the more pleasing it'll feel once it is fully grasped. Just wanted to share my experience with mathematics, it truly is life changing and I am dearly appreciative of my early self for pursuing.
What am I missing in min 40:12? Find invertible matrices such that AB is not equal to BA? Here: let A = (1, 2; 3, 4) and let B = (3, 4; 1, 2). They are both invertible. If you take A*B row 1 column 1 entry, you get 5. If you take B*A row 1 col 1 entry, you get 15. The products are not equal. Other than that, great lecture. I just completed the first course in Abstract Algebra at my local college, and am moving on to other courses. I thought it'd be a shame to forget what I've learned because it was a fascinating topic. My prof closed the course in D2L with her video lectures, so I took to TH-cam to see what's available there. Really glad I found this channel, and I hope the content is available for a long time. I really like that the first lesson reviewed linear algebra because I took that course 25 years ago when I was a "proper" college student. My intro course spend more time on Sn permutations, and I hope I learn more about matrices and vector spaces as groups here.
I've been studying abstract algebra for few weeks but I've been completely confused but this helps a lot it's easy to understand and surprisingly interesting
I was looking to revise some abstract algebra and I'm glad I decided to start from the very beginning... It's the first time that I see a group defined "moving backwards" from a vector space, nice perspective! It was a very pleasant lecture, I can't wait to watch the next episodes.
Clearly explained. I only read some linear algebra and never read abstract algebra out of fear of high technicality. However, this is the level of explanation that is about the same as where I left off. For self-learner, I'd suggest the prerequisite of linear algebra for better understanding.
and certainly one of the most beautiful aspects of modern mathematics ...to understand deep realms of geometry you need to learn this course by going at the bottom most part of it ......
kodyonthekeys That must have been really hard for you because I know abstract algebra, set theory and other discrete forms of mathematics such as graphs are essential to fully grasping topology.
In most universities, the prerequisite to a basic topology course does not include having an understanding of 'abstract' algebra. By topology, I mean general topology. What is general topology? "In mathematics, general topology is the branch of topology that deals with the basic set-theoretic definitions and constructions used in topology. It is the foundation of most other branches of topology, including differential topology, geometric topology, and algebraic topology. Another name for general topology is point-set topology." (Source: goo.gl/GFsb6G) Then, what are the prerequisites? Well, there are no formal prerequisites, but most students attending the course have an understanding of real analysis and linear algebra, you also learn basic set-theory in these courses. Also attending these courses, makes you mathematically mature. Without them, topology would seem quite dry and unmotivated. For more a more advanced topology course, for example, something like algebraic topology, you certainly need to have a basic understanding of 'abstract' algebra. But not everything, it doesn't help much to know whether a polynomial is reducible or not. Try reading the first few chapters of Munkres' book Topology - goo.gl/bXLuA9, it is a good starting point. Read the preface!
Yeah, nothing in general topology required abstract algebra. It's that nebulous term, "mathematical maturity," that I lacked. Students who had already taken analysis or abstract algebra had a much easier time. It wasn't really a matter of prerequisites. They just had more experience dealing with abstract mathematical concepts. Looking back I wonder why I struggled with a lot of it. I can't say I would recommend jumping into topology first, but to some analysis makes no sense without it. There's no way to know what's gonna work for you until you try it. But definitely start with some self study before signing up for a topology class too early in your career. If it's going smoothly then, by all means, dive in.
I had a hard time staying awake in class in middle school/high school. I have been having a hard time sleeping lately. I put these videos on, watch a few minutes when I am feeling tired and I am out like a light 10 minutes later, and if I somehow learn something from this that would be cool too.
Math is like basketball , tho disappointed that i lack talent, i really love the game and want to be the best possible even if it means nothing more than mediocre, but i have the courage and determination to fight onward, as i am greatly inspired by those that do have the talent. Thanks professor, you are now one of my coaches :-)
Fantastic attitude, keep broadening your capacity to perceive the world around you and improving your technical skills for structured reasoning. Keep getting after it!
+Matt O'Brien Unfortunately, the way linear algebra is often taught is by introducing these bizarre things called matrices first, goofing around trying to learn how to multiply matrices for a few weeks, and then realizing they represent linear transformations between vector spaces later. This is completely backwards, since this is the whole point of matrices: representing linear transformations! The other stuff, like matrix multiplication and determinants, follows secondary to the underlying concept of the linear transformation.
I will also thank you for these wonderful lectures. They just might as well saved my semester... (I still don't know for sure). But thank you! Knowledge is the most precious gift a human can give to another human.
you can go to the class website, there are some practice questions. wayback.archive-it.org/3671/20150528171650/www.extension.harvard.edu/open-learning-initiative/abstract-algebra
I took Abstract Algebra at the U. of Chicago, we used Dummit and Foote, and the introductory session was completely different than this. The instructor dove right into Abelian groups, kernals and normal subgroups. No matrices or mention of Linear Algebra at all.
At 13:06, the second pair of 2x2 matrices DO NOT multiply to yield the "Zero" matrix. He is correct that AB does not equal BA but BA x AB does not equal the zero matrix. It multiplies to {0 0 0 1 }.
great video! I noticed when listing the properties of the group you mention 4 but only list 3. The one not listed as you mentioned is closure. The product of two elements in the group should also be in the group. Love the way you lecture and it reminds me of some of the great mathematics professors I had.
Closure is the property of binary relation. And G is the set with a binary relation. Hence may be professor have thought it's obvious or not not necessary to write.
reg diag I couldn't find any Real Analysis video lectures from Harvard, but these lectures by Francis Su are really good (th-cam.com/play/PL04BA7A9EB907EDAF.html)
thank you very much. I think the teacher who gives the probability course from Harvard has a real analysis course but it is on a website only accessible by haravard students. canvas.harvard.edu/courses/18236/pages/lecture-video
+sebastian joo well he is your professor now, he has uploaded pretty much everything a student in the physical lecture will get maybe plus a few tutorials
33:41 Well - on my 1st semester Linear Algebra course, my teacher showed us that proof, and we even had to memorize it for the exam. Perhaps that was the point I lost my interest in Algebra... However, it is pretty cool that as a PhD student (working in a totally different field) I can know understand everything he says :)
I know where there pdfs on the internet about algabraic algebra and modern algebra, but what I don’t undestand is do I need to learn liner algebra first?
The book that we used directly goes to the ring. We have not even studied group(I have but many of my classmates have not). Cambridge books are always so tough.
Im 16 year old but i just entered cegep (basically 12th grade in canada) in a enriched program and i need to learn this... Im not very good in vectors does anyone have a link to a video that might help me with the Vectors?
hey I m here for the semiring definitions, which is need for me to understand signed measures and bounded variations...but I m an economist so I have absolutely no idea what I am saying
+Nicholai Dmetrivech Steinberg I am looking to follow this course for review it has been many years since I took AA. I am going to get the text but it seems that a 2nd edition has come out since these videos where made. What is new in edition 2? If I am going to use it to follow these videos am I better of with edition 1 or 2?
+Colin Merrick To my understanding there is not much difference between the two editions. As you know learning the concept is more important, even I didn't have English mathematics book until this one, most of the books I read are in Russian. And I apologized for my bad English.
If somebody could elucidate what courses he listed for prerequisites? He says, "If you've come out of 23, 25, or 55, you're fine. If you've been through 21 and you felt comfortable with the linear algebra in 21B, because I'm going to need some of that, and you're willing to move to a slightly more abstract level of knowledge, this is good." So my question is, what would these courses have been at Harvard at the time this was taken? Thanks.
corey333p i think he’s just trying to say you need to know linear algebra. And be comfortable working with abstract concepts, not just computation. If you google, those courses have titles like honors calculus and linear algebra.
Hi, thanks for that, I did find Artin's book and here are some solutions I also found online: www-personal.umich.edu/~takumim/artin-sols.pdf I just thought there were some notes about the lectures which explained in an easier manner some topics of the book.
This solutions are not for 1st edition.... I think this would be better for you: www.math.harvard.edu/~ctm/home/text/class/harvard/122/02/html/hw.html but this solutions still contains few problems, and most of these problems are very hard....
How does this class compare to an abstract algebra class for non-extension school Harvard students (eg. Harvard undergraduate or graduate students), in terms of content, pace and teaching style?
0:58 Textbook by Michael Artin.
4:06 Actual math starts. Review of elements of linear algebra.
25:00 Definition of the general linear group, GL_n(R).
35:48 Definition of a group; more examples.
44:44 Definition of the symmetry group, Sym(T).
49:17 Homework (see Textbook).
I'm a CS PhD student at CU Boulder, but have a burgeoning interest in deeper mathematics; just like CS, I find mathematics to be highly relevant to anything and everything - and besides, what would CS be without mathematics?! Love this lecture and series, and I'm sure it will serve me well with my self-studies! This professor is fantastic! Thanks for the upload.
The world needs more people like you who truly understands the beauty of Mathematics
Alonzo and Godel proved, this maths is flawed.
in China kids go to extracurricular english and math classes
@@rjadolf6782 how is this relevant? Sorry if I'm missing something.
@@poproporpo you're not. It's not relevant at all.
This is honestly really helpful to watch and learn during this corona pandemic lol, pls don't ever delete this!!!
This was a nice review. I love the mini biographies of Galois and Abel. This professor's french is pretty good as well. Great stuff
Thanks. The power of this information coupled with the elegance of it's instruction is invaluable.
Apart from being an eminent mathematician, Benedict Gross is also a great teacher who knows how to spice up the unbearable dryness of abstract algebra. Thnx!
It really can be dry sometimes.
❤️😊
I have no idea why i'm watching this, i'm not even doing maths.
ay same
Probably so you can gain knowledge and takeover the world or something having to do with that. But definitely something devious for sure.
haha
Abstract Algebra seems useless
Or if u are trying to become Einstein u can continue this lecture. It may help u in deriving some weird formulas.
I love mathematics, in the early days, I thought I didn't. As I got older and began to explore it for myself, I began to realize how much influence it has on every day life. Simply state, I now even dream in numbers sometimes. Thanks to mathematics, I've been able to convert frustration and displeasure into recognition of bettering. The more challenging a material is to learn, the more pleasing it'll feel once it is fully grasped. Just wanted to share my experience with mathematics, it truly is life changing and I am dearly appreciative of my early self for pursuing.
All the best ❤️
Lecture doesn't start until 4:46
TraleeFair thank you!
+TraleeFair to me, it is the end.
Thanks!
What am I missing in min 40:12? Find invertible matrices such that AB is not equal to BA? Here: let A = (1, 2; 3, 4) and let B = (3, 4; 1, 2). They are both invertible. If you take A*B row 1 column 1 entry, you get 5. If you take B*A row 1 col 1 entry, you get 15. The products are not equal.
Other than that, great lecture. I just completed the first course in Abstract Algebra at my local college, and am moving on to other courses. I thought it'd be a shame to forget what I've learned because it was a fascinating topic. My prof closed the course in D2L with her video lectures, so I took to TH-cam to see what's available there. Really glad I found this channel, and I hope the content is available for a long time. I really like that the first lesson reviewed linear algebra because I took that course 25 years ago when I was a "proper" college student. My intro course spend more time on Sn permutations, and I hope I learn more about matrices and vector spaces as groups here.
I've been studying abstract algebra for few weeks but I've been completely confused but this helps a lot it's easy to understand and surprisingly interesting
You can use Joseph's contemporary algebra book.
Thank you so much for these wonderful lectures. I almost couldn't believe it! It's too good to be true!
Subscribed!
Sidionian Agreed!!! 🤗
I was looking to revise some abstract algebra and I'm glad I decided to start from the very beginning... It's the first time that I see a group defined "moving backwards" from a vector space, nice perspective!
It was a very pleasant lecture, I can't wait to watch the next episodes.
Same for me ❤️
Clearly explained. I only read some linear algebra and never read abstract algebra out of fear of high technicality. However, this is the level of explanation that is about the same as where I left off. For self-learner, I'd suggest the prerequisite of linear algebra for better understanding.
Abstract Algebra was one the most challenging courses I ever took.
So challenging I had to retake it
and certainly one of the most beautiful aspects of modern mathematics ...to understand deep realms of geometry you need to learn this course by going at the bottom most part of it ......
Same. Took it twice.
how abstract is the course compared to linear
@@rajarshichatterjee3281 ❤️
It's amazing to see so many people were learning deep math for fun. I'll check how many people just listen lec 1 :D
Great teacher. Great camera-control.
I'm learning this so that I can eventually learn topology and higher mathematics.
dolphinsatsunset1 I learned topology first. Probably wasn't the way to go, but I survived.
kodyonthekeys That must have been really hard for you because I know abstract algebra, set theory and other discrete forms of mathematics such as graphs are essential to fully grasping topology.
In most universities, the prerequisite to a basic topology course does not include having an understanding of 'abstract' algebra.
By topology, I mean general topology. What is general topology?
"In mathematics, general topology is the branch of topology that deals with the basic set-theoretic definitions and constructions used in topology. It is the foundation of most other branches of topology, including differential topology, geometric topology, and algebraic topology. Another name for general topology is point-set topology."
(Source: goo.gl/GFsb6G)
Then, what are the prerequisites? Well, there are no formal prerequisites, but most students attending the course have an understanding of real analysis and linear algebra, you also learn basic set-theory in these courses. Also attending these courses, makes you mathematically mature. Without them, topology would seem quite dry and unmotivated.
For more a more advanced topology course, for example, something like algebraic topology, you certainly need to have a basic understanding of 'abstract' algebra. But not everything, it doesn't help much to know whether a polynomial is reducible or not.
Try reading the first few chapters of Munkres' book Topology - goo.gl/bXLuA9, it is a good starting point. Read the preface!
It's so blatant cool but I think I would rather learn abstract algebra first and then maybe real analysis before learning general topology.
Yeah, nothing in general topology required abstract algebra. It's that nebulous term, "mathematical maturity," that I lacked. Students who had already taken analysis or abstract algebra had a much easier time. It wasn't really a matter of prerequisites. They just had more experience dealing with abstract mathematical concepts. Looking back I wonder why I struggled with a lot of it. I can't say I would recommend jumping into topology first, but to some analysis makes no sense without it. There's no way to know what's gonna work for you until you try it. But definitely start with some self study before signing up for a topology class too early in your career. If it's going smoothly then, by all means, dive in.
I had a hard time staying awake in class in middle school/high school. I have been having a hard time sleeping lately. I put these videos on, watch a few minutes when I am feeling tired and I am out like a light 10 minutes later, and if I somehow learn something from this that would be cool too.
Its is 5 hours work within 1 hour....Thank you ,Professor...You are So BRILLIANT and AMAZING
if he´s so brilliant, then why is he becoming bald?
@@nichts_und_niemand bladness has something to do with brilliance? What are you saying
@@shlokamsrivastava6782 its a joke, i hope
Math is like basketball , tho disappointed that i lack talent, i really love the game and want to be the best possible even if it means nothing more than mediocre, but i have the courage and determination to fight onward, as i am greatly inspired by those that do have the talent. Thanks professor, you are now one of my coaches :-)
You just need intellectual curiosity ❤️
Fantastic attitude, keep broadening your capacity to perceive the world around you and improving your technical skills for structured reasoning. Keep getting after it!
because he is a fantastic math teacher
9:40 to 9:51 was a real mindblower. I never really thought of it that way.
+Matt O'Brien
Unfortunately, the way linear algebra is often taught is by introducing these bizarre things called matrices first, goofing around trying to learn how to multiply matrices for a few weeks, and then realizing they represent linear transformations between vector spaces later. This is completely backwards, since this is the whole point of matrices: representing linear transformations! The other stuff, like matrix multiplication and determinants, follows secondary to the underlying concept of the linear transformation.
+ Mathoma You just totally nailed it.
Your linear algebra teacher failed you then.
Matt O'Brien dude if you want an elaboration on it , then I highly recommend you watch the linear algebra play list of the channel 3 blue 1 brown
lmao same i was like hory shet
He might be my favorite lecturer of all time
Wish these were higher resolution.
I'm sure Harvard has them. We should petition and ask them to release them.
He manages to give clear explanations and a lot of information at the same time.
❤️
Totally taking that class
I will also thank you for these wonderful lectures. They just might as well saved my semester... (I still don't know for sure). But thank you! Knowledge is the most precious gift a human can give to another human.
FizzleMacDizzle did they save your semester?
FizzleMacDizzle yeah did they?
❤️
did they?
Wonderful review of my linear algebra class, and you added some sprinkles of new information on top. Thank you sir 🙏
Thank you for posting your Abstract Algebra class.
What a great Professor
❤
Great lecture, looking forward to the rest of them
Can't take this course for another year and a half because of prereqs at my univeristy
I'm gonna be so prepared for it lmao
It was very clever to name all the videos in the playlist with one name
The only thing I understood is Peter gonna be their teacher on wednesdays
Love you sir ❤️
i'm not as grateful to anything as i am to lectures on youtube
anyone know if any problem sets pertaining to these lectures are available?
you can go to the class website, there are some practice questions.
wayback.archive-it.org/3671/20150528171650/www.extension.harvard.edu/open-learning-initiative/abstract-algebra
you could get the book he uses in the lecture
The book is M. Artin. Abstract Algebra. 1991.
My head is hurting, I need a bottle of aspirin.
😂😂😂
These videos are really great and helpful. But it would have been better if topics of a particular video were written in comments.
I took Abstract Algebra at the U. of Chicago, we used Dummit and Foote, and the introductory session was completely different than this. The instructor dove right into Abelian groups, kernals and normal subgroups. No matrices or mention of Linear Algebra at all.
+BU982T I took a corse that did the same thing. Dove right in, however later in by like chapter 6 or so, the LA creeped in.
This man masters the art of teaching ❤
what are those classes he refers to at 2:15? 23, 25, 55?
Linear Algebra and Real Analysis , Honors Linear Algebra II, Honors Real and Complex Analysis (www.math.harvard.edu/courses/index.html)
37:28 talking about Abel and Galois.
I love math and i can not wait to get to this level.
❤️
At 13:06, the second pair of 2x2 matrices DO NOT multiply to yield the "Zero" matrix. He is correct that AB does not equal BA but BA x AB does not equal the zero matrix. It multiplies to {0 0
0 1 }.
This man's handwriting is ++
great video! I noticed when listing the properties of the group you mention 4 but only list 3. The one not listed as you mentioned is closure. The product of two elements in the group should also be in the group. Love the way you lecture and it reminds me of some of the great mathematics professors I had.
Closure is the property of binary relation. And G is the set with a binary relation. Hence may be professor have thought it's obvious or not not necessary to write.
Where can I get a pdf of the book?
Great lecture
can you upload video lectures of real analysis of harvard?
reg diag I couldn't find any Real Analysis video lectures from Harvard, but these lectures by Francis Su are really good (th-cam.com/play/PL04BA7A9EB907EDAF.html)
thank you very much.
I think the teacher who gives the probability course from Harvard has a real analysis course but it is on a website only accessible by haravard students.
canvas.harvard.edu/courses/18236/pages/lecture-video
4:30 is where he starts
Love these lectures!
❤️
I wish this guy was my professor. i can actually understand him.
+sebastian joo well he is your professor now, he has uploaded pretty much everything a student in the physical lecture will get maybe plus a few tutorials
Don't be embarrassed if you slept through linear. He needs to know.
What's wrong with saying there's a quique inverse matrix B for every non-singular matrix A? 23:39.
he's a fantastic teacher!
❤️
is there a higher quality version of the video?
No
Help me with those link on description .. not working
What is the textbook used in this course? Mike Garden's book?
If you took 55, wasn't the Artin book assigned?
33:41 Well - on my 1st semester Linear Algebra course, my teacher showed us that proof, and we even had to memorize it for the exam. Perhaps that was the point I lost my interest in Algebra...
However, it is pretty cool that as a PhD student (working in a totally different field) I can know understand everything he says :)
I know where there pdfs on the internet about algabraic algebra and modern algebra, but what I don’t undestand is do I need to learn liner algebra first?
The book that we used directly goes to the ring. We have not even studied group(I have but many of my classmates have not). Cambridge books are always so tough.
Am I the only one learning this for fun?
Probably not. But you are probably the only one watching it without understanding it.
Sam Velasco Holy fuck what a burn
@@samvelasco9231 nothing wrong with learning bud person could be interested because it's so hard
Link to some of the class materials: web.archive.org/web/20150305001730/www.extension.harvard.edu/open-learning-initiative/abstract-algebra
Notes/problem sets
URL does not exist 😥
Your link is broken.
is there a latex script for this lecture?
What was the name of the textbook he mentioned?
I think it's algebra by Michael Artin, which you can get from gen.lib.rus.ec
I wanna meet this Peter 🤣
@4:23 lecture starts
Which book is that???
Does anyone know where I can get the lecture notes and psets? Links in the description dont work.
Does the course have a problrm sets ?
Im 16 year old but i just entered cegep (basically 12th grade in canada) in a enriched program and i need to learn this... Im not very good in vectors does anyone have a link to a video that might help me with the Vectors?
I used to watch 3Blue1Brown linear algebra's videos. Give a try
Anything produced by 3Blue1Brown is stellar.
Sal Khan's video's are very good too, especially for novices.
12th grade? You definitely do not need to know this...
Linear Algebra, though, you should!
But it's been a year so you probably know that.
How can I get the content of problem sets? Could anyone compile them please?
Here. Scroll down :) wayback.archive-it.org/3671/20150528171650/www.extension.harvard.edu/open-learning-initiative/abstract-algebra
Supreeth Ravish awesome, thank you!
the link can't use, anyone have backup?
What is 21, 23, 25 and 55?
My brain malfunctioned at 5:52 I don't even remember what I learned from this 😂
A great teacher,but is there any high resolution version?
the math starts at 4:45
What is the textbook they are using?
Michael Artin Algebra
hey I m here for the semiring definitions, which is need for me to understand signed measures and bounded variations...but I m an economist so I have absolutely no idea what I am saying
why forget scalar multiplication for vector spaces?
inshallah ill be big as eminem one day!
Where can I get the lecture notes? The links seem broken. Is this course still offered through the Harvard extension school?
Possible name of the book and is available in the form of this book pdf
Algebra, M. Artin (Prentice Hall 1991)
Evan Webb-Stuart Do you have any problem solutions? I have really hard time to exercise....
starts 4:28
what is the name of the book the professor is using? please, thanks
+Jecse Menjibar algebra by micheal artin
thanks. some how i missed the first part of the lecture when he speaks about the book..lol
The textbook, is it the first edition of Artin or the second?
first
Sir which book do we have to follow along with ur lecture series
+Nur Rahaman Algebra by Michael Artin
+Nicholai Dmetrivech Steinberg
I am looking to follow this course for review it has been many years
since I took AA. I am going to get the text but it seems that a 2nd
edition has come out since these videos where made. What is new in
edition 2? If I am going to use it to follow these videos am I better of
with edition 1 or 2?
+Colin Merrick To my understanding there is not much difference between the two editions. As you know learning the concept is more important, even I didn't have English mathematics book until this one, most of the books I read are in Russian. And I apologized for my bad English.
I like the lecture
Question: What is 23,25,55 ? :-)
Al En the standard introductory Harvard math courses
What is the book name?
Algebra by Michael Artin
If somebody could elucidate what courses he listed for prerequisites? He says, "If you've come out of 23, 25, or 55, you're fine. If you've been through 21 and you felt comfortable with the linear algebra in 21B, because I'm going to need some of that, and you're willing to move to a slightly more abstract level of knowledge, this is good."
So my question is, what would these courses have been at Harvard at the time this was taken? Thanks.
corey333p i think he’s just trying to say you need to know linear algebra. And be comfortable working with abstract concepts, not just computation. If you google, those courses have titles like honors calculus and linear algebra.
Is there any way to get the notes, problem sets, etc from somewhere? It's been taken down from the Harvard site.
YoTengoUnLCD You may find the text book by googling. The problem sets are given during lecture in most cases, but I cannot find right solution....
Hi, thanks for that, I did find Artin's book and here are some solutions I also found online: www-personal.umich.edu/~takumim/artin-sols.pdf
I just thought there were some notes about the lectures which explained in an easier manner some topics of the book.
This solutions are not for 1st edition.... I think this would be better for you: www.math.harvard.edu/~ctm/home/text/class/harvard/122/02/html/hw.html
but this solutions still contains few problems, and most of these problems are very hard....
Dioes anyone know how to get the Homework material for our? I do have artin's book but can't understand which question to spend
How does this class compare to an abstract algebra class for non-extension school Harvard students (eg. Harvard undergraduate or graduate students), in terms of content, pace and teaching style?
this is the same course, with the lectures recorded. the students watching these lectures are harvard undergraduates
I see. Thank you!