Just purchased this textbook and the abstract algebra textbook from Lang. Are these good resources alone to learn the material? If not, what other (free) resources pair well with these books?
Just purchased this textbook and the abstract algebra textbook from Lang...
Aiden Wilson
Jordan Bell
>Are these good resources alone to learn the material?
No, Lang is a meme.
Also general abstract algebra books are also a meme, get a book for whatever specific topic you're interested in (rings, groups, fields, commutative algebra, homological algebra, representation theory, etc.)
Christopher Martinez
what about Lang is a meme?
James Diaz
Don't have his algebra book, but his complex analysis book is good.
Lincoln Nelson
I’ve got them both. They are both good, but at oddly different levels. The complex analysis book is not nearly as advanced as the algebra book.
Levi Mitchell
There's literally a point in that book (in the statement of the residue theorem I think) where Lang writes [math]\sqrt{-1}[/math] instead of [math]i[/math], since he refuses to use another variable as an index in a sum. He even makes a note about it. Literally a meme.
Jack Morris
shut up honestly
Gavin Davis
just use j
Henry Gonzalez
>shut up honestly
What's wrong?
Benjamin Robinson
Why do you think general abstract algebra books as you put it are a 'meme'
Chase Evans
Can't translate too own notation
are you under 18
Isaiah Fisher
Many complex analysis/geometry books do that.
Parker Young
>Also general calculus books are also a meme, get a book for whatever specific topic you're interested in (differentiation, integration, series, numerical methods, optimization, differential forms, etc.)
Tyler Moore
Lang would be difficult for a first encounter with abstract algebra. You will most likely not be able to get through it unless you've had a previous experience with the topic. I've never read his complex analysis, so I can't comment.
Make sure to do all the exercises.
Justin Collins
...
Adam Murphy
Advanced Linear Algebra: I. M. Gelfand, Lectures on Linear Algebra
Representation Theory: J. P. Serre, Linear Representations of Finite Groups, Chapters I and II.
Commutative Algebra: Atiyah-Macdonald, Commutative Algebra.
Group Theory: The Theory of Groups by Robinson
Galois Theory: Algebra with Galois Theory by E. Artin, and then Local Fields by Serre
Should cover everything in Algebra I and II at most universities, even the grad version.
Kayden Hughes
Carson Phillips
>Advanced Linear Algebra: I. M. Gelfand, Lectures on Linear Algebra
who does "advanced linear algebra" cover ?
Sebastian Jenkins
>This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - 8 arguments.
what are E - 8 arguments?
Carter Adams
OCR fail for ε - δ arguments.
Jason Johnson
>Lang's Algebra
Joseph Powell
The formal definition of limits and proofs using such machinery. Those argumebts can be pretty tricky to get a hang on when you are starting with math
Zachary Clark
People either love Lang or they really hate him (like hate hate)
But is an idiot
Parker Butler
On algebra, Lang is grad level.
Michael artin algebra or dummit and foote abstract algebra are standard undergrad.
Adam Collins
>purchased
Cuck
Chase Clark
a better complex analysis book is the one by freitag. a good supplement is gamelins book. of course, brown and churchill is a good introduction to the subject.
source:phd in subfield of functional analysis.
Daniel Lopez
They'll be fine OP, just be sure to look at other sources as you go along. My favorite has to be Ahlfors, such a beautiful text. Spends a long time developing geometry results.
Luis Adams
>short exercise
>solve ALL problems in homological algebra textbook
>real quick
Liam Sullivan
Homological Algebra is pretty straightforward. Probably one of the easier exercises.
Isaiah Miller
oh damn ok, i thought it was some novel way of judging the difficulty of a proof
William Moore
>are these good resources
Jesus Christ, just fucking read the book and see how well it works for you. This fucking board
John Miller
Why would someone waste time reading a shitty book when they could read a good b9k instead? Jackass.
Austin Richardson
>Why would someone waste time reading a shitty book when they could read a good b9k instead?
How do you know if it's shitty without reading it?
Joshua Long
>Serge Lang
Daily reminder that AIDS doesn't exist.
Austin Howard
To learn Group Theory for free. Search up Robert Boltje at UCSC. He has lecture notes that you can download very good.
Levi Reyes
kek
Henry Johnson
He doesn't, he's just repeating whatever he read here.