Status Updates From Vector Calculus, Linear Alg...

Study session today.
Discussed the material of ch1.5- bullet points noted down on what needed work before coming in.
Did some qs.

So a function is continuous if the limit exists at a point x0 in the closure of it’s domain?
Also we can play with series of matrices. A series of matrices converges if its absolute value converges.
The stuff on geometric series of square matrices is not yet understood.
I don’t yet know how Cayley thought of Mat(n, m) & the dimension being the same thing.

One proof was woaaaaaaaah.
The dot product of two functions under a limit being equal to the multiplication or the two functions under the limit separately.

Hard to say with words. Lol.

The rest today felt like more of the same.
Just applying the epsilon delta definition of the limit to understand continuity.

I want to see some big theorems.
Wanna spend more time on this daily.

Read 93-95 today.
I feel limits are very intuitive now.
The topological notions of closure and neighbourhood were very helpful in this regard.

“At least a pg a day” is a powerful motto.

Started two weeks ago with a friend.
We both know some linear algebra already from Uni. Despite this the book is hard going especially later parts in Chapter 0.
Ch 0.5 - “Real Numbers” was a bit of a pain.
Luckily we don’t really need Ch 0 for the rest of the book….
On Ch 1.5 right now and having a vague understanding but not flaky of Ch 0 is good enough.