Recent content by MidgetDwarf

I would read chapter 1, then flip to the last chapter. It will walk you through. https://richardhammack.github.io/BookOfProof/Main.pdf The book above is open source.

I think anything is possible, within reason, if you put in the work. I dropped out during 9th grade, never receiving more than a C from K-12. Fast forward, got my GED at 21, and went to CC at 23. Decided to major in mathematis since I did not like writing papers, and chose the major with the...

I know that students who partake in the physics olympiads have gone through Irodov. Maybe even Kleppner and Kolenkow as well.

I cant help you directly. As I majored in Math (MS). However, I was 4 classes short from a physics degree in undergrad. I found the book by Schwartz: Principles Of Electrodynamics to be a step up from Ohanians book. Where I much prefered Ohaniam to Griffiths. My friend studies physics at the...

I wonder if Ms Vanadium also received her fair share of sass lol. I would have snipped him!! I liked seeing his replies. Reminded me of a drill seargent or an old gunslinger (my grandfather was one). Always got a chuckle. He was well informed, even at his old age. Something to strive for.

I know someone who is very succesful in youtube/tiktok although. Not an educational channel. They bring in roughly 150k a year. What they told me, was that todays generation has "tik tok" brain. So playing with short and long format videos. Would be something to consider.

THey also lived in age in which information advanced more slowly. Unless someone solves something crazy like navier-stokes , Reimann Hypothesis. Then the importance discoveries have the probability may not fully be appreciated instantly... It would be interesting, and I am a bit too lazy. To...

Is there any difference in the answers it outputs using the free and "premium" version?

For mathematics. Or at least of the pure math type. I do not think there is a better alternative to the chalk method. It can be improved if thr lecture is recorded as well. I do have a problem with pure math classes. Oftentimes a whole lecture can be devoted to proving a big theorem. But rarely...

The competition is fierce now!!

I was transported infront of a bodega watching a neighorhood whino chugg a 40 oz reading this thread.

I found schaums useful for things like probability [Markov Chains], PDE, Toplogy, complex analysis Ie., for more examples to apply the theory learned from pure mathbooks.

Thank you fact checker! I now understand that the proof given was using the measure theory [lebesgue integral] formulation of probability. the decomposition of E into its positive and negative parts comfirmed my hunch. from my understanding, E[|X|] exists iff E[X] does using lebesgue...

Greetings, I am studying probability theory [non-measure theory] from a textbook. I stumbled to the topic stating that Cauchy Distribution has no moments. It was not proved, and I tried working it via direct calculation of the improper integral of E[X^n] for the case n=1. Anyhow, I wanted...

CAlculus is typically learned before complex... So calculus.