I use Kaplan and Lewis's Calculus and Linear Algebra 1 and 2. It's the best.

It's downloadable legally if you do a search. Also cheaply sold on Amazon.

It is sad that good old books are going out of print. Silly new books are so popular as they have lots of pictures and colour.

It is ridiculous for a calculus textbook to cost 200 USD.

I got a brand new Springer GTM from Amazon that has handwriting in it, LOL.

I am going to return the item.

The amazing thing is how the previous user kept the book in such perfect condition except for the handwriting.

@skillpatrol Graduate Text sin Mathematics series

I thought I was having hallucinations when I saw the handwriting, LOL.

@robjohn It should be 'Why?' and not 'WHY???', LOL.

@skillpatrol Notes in blue ink on many pages.

IKR, WTF

Haha, how did this even happen?

Am I hallucinating?

I tell you, the book is in perfect condition otherwise.

Not a single page is crumpled.

56 USD.

How can someone read and even write on the book without crumpling a single page?

I smell a fish...

I think maybe Amazon can refund the shipment too, but the shipping is not much, so not a problem.

@skillpatrol Any answer to my above question?

The last one with a question mark.

Maybe I should ask on Skeptics, LOL.

Or Lifehacks, LOL.

But the book just looks so new that it is quite impossible... This person must be a nutcase

@skillpatrol It must be you. =)

Conway: Functions of One Complex Variable I

LOL

Hey @BalarkaSen, sorry my laptop un-hibernated me into a chat, and I didn't realise I was here :P.

@tylerl-uxai Yes. Make sure show bookmarts is on, drag the 'Start ChatJax' to the bookmark bar, come back here and click it.

I will test how long it should take now.

3 seconds

Hey @TobiasKildetoft, how are you?

Hey @AlexClark, LOL.

Oh awesome stuff :D @TobiasKildetoft, is the paper on Arxiv already?

@tylerl-uxai I assume you are trolling tbh

I think @tylerl-uxai is @anon

I meant the final check one

What'll the title be?

Oh dear, he got suspended.

@BalarkaSen I am going to write my alg geo topic on "The group structure on a plane cubic curve", so I need to learn about divisor class groups and such

@AlexClark What book do you recommend me for algebraic geometry?

Did you ever understand this?

It appears that my LOL is the ??? of @robjohn

@JasonBourne No idea sorry. I am working with Gathmann & Milne, mainly Gathmann, but there are many good books, and I don't recommend constricting yourself to just one anyhow

@AlexClark Hey I think I recommended both those to you, LOL.

@JasonBourne I think you did recommend gathmann, but no idea on milne :P

@TobiasKildetoft That is really really awesome

@AlexClark I see. My name appears in Milne, ROFLMAO.

So it's not OK to say sick fucks but OK to say fuckin bombs? LOL.

@TobiasKildetoft So at no point in your career do tedious computations seem worth it :P

@AlexClark Except in Calculus I.

I think I may have already asked you this, but do you know the basis of canonical type?(different from the canonical basis)

Oh

I thought you'd know the good bases and the canonical basis, but maybe math really does split into too many directions

Apparently they are really helpful for highest weight reps

Yeah I thought you wouldn't of

This reminds me that in linear algebra, there is the Jordan canonical form, the Frobenius canonical form, and the Smith canonical form.

I am looking at the basis of canonical type for $U(\frak{n}_+)$

1) elements of $B$ are weight vectors, 2) $1\in B$, 3) each right ideal $(\theta_j^p U(\frak{n}_+)\otimes \Bbb Q)\cap U(\frak{n}_+)$ is spanned by a subset of $B$, 4) In the basis induced by $B$, the left multiplication $\theta_j^{(p)}$ from $U(n_+)/\theta_j U(n_+)$ onto $\theta_j^p U(n_+) / \theta_j^{p+1} U(n_+)$ is given by a permutation matrix, 5) $B$ is stable under an antiautomorphism in $U(n_+)$ and 6) $B$ is stable under the bar involution.

Those the the 6 conditions for $B$ to be a basis of canonical type, really long actually :P

Oh sorry, $\theta_i$ are the generators of $n_+$

and $\theta_j^p$ is just $\theta_j \otimes \cdots \otimes \theta_j$

Is there another common meaning for $\theta$?

Oh okay haha

Fair enough

Yep

So associated to $\frak{sl}(2)$ it is just $\theta_1$ and then for $\frak{sl}(3)$ it is just $\theta_1,\theta_2$

Oh sorry no I mean

I just have a choice of generators

I have a labeling for my generators specifically

Like $\theta_1 = \begin{bmatrix}0&1\\0&0\end{bmatrix}$ for $n_+(2)$

Then $\theta_1 = \begin{bmatrix}0&1&0\\0&0&0\\0&0&0\end{bmatrix}$

No basis for $n_+$ sorry, I said the wrong thing, I just mean we have a labelling for generators

For the weight vector thing in condition 1 of the canonical type basis

@TobiasKildetoft If they are I hadn't noticed it :P

Well there will not necessarily be a unique basis of canonical type btw(although there is for $A_1,A_2,A_3$)

Property 2 being $1\in B$?

Hmmm how would it change property $3$?

So we write $f=U(n_+(3))$ say

then we get a grading $f=\bigoplus f_{i,j}$

It's $\theta_j$ for each $j$ in the indexing set, so it is all $j's$

and each $p\in \Bbb N$

So all right ideals being all ideals given by arbitrarily long left tensors onto $\bf f$

Or am I missing what you mean still

Do you read a right ideal as, say for $\theta_1^4$, $\quad\quad\theta_1\otimes \theta_1\otimes \theta_1\otimes \theta_1 \otimes U(n_+)$?

Because I think that is what was intended

@TobiasKildetoft But then there doesn't seem to be an relevance in the order of $\theta_1,\cdots,\theta_j$?

Oh

@TobiasKildetoft Good call, the first paper didn't have a constraint, Peters has them as chevalley generators

That should make it fine then I imagine

@TobiasKildetoft Thanks for that though, that definitely changed the way I would phrase my write up :D

In my mind I could just write the super diagonal entries as $\theta_1,\theta_2$ so on, but I hadn't even written that

@robjohn Mean Square meets Green Square

Hallo.

Buongiorno, Bonjour, Guten Tag, Buenos dias!

Is there any good reason to learn Hebrew if you are not going to Israel?

I think Biblical Hebrew is different from modern Hebrew though.

The same goes for Biblical Greek and modern Greek.

And Koranic Arabic and modern Arabic.

I know Israel has many beautiful women.