Recent content by MidgetDwarf

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.

I would suggest getting a copy of Hammock : Book of Proofs Pommersheim: A Lively Introduction to the theory of numbers Gallian: Contemporary Algebra Abbot: Understanding Analysis Moise/Downs: Geometry Work through the proofs book together with the number theory and geometry book. Once you...

Is op an AI bot?

Just received my copy last week. And it is indeed an excellent book. Hopefuly the author writes more books in thr future!

I may be wrong. Its been a while since I learned the basics. I believe a member on this forum, Mathwonk, wrote some notes explaining Galois Theory first and filling in the blanks. I can be wrong. In anycase, check out his algebra notes. If you want something easier but well written, to get...

I found this book excellent to get the basics down. Do you just find it as a boring read, or terse?

Is it the same for his 2 Fourier books, and his Real Analysis book?

Geez. The hardcover is pricey. BUt it is quality. A friend of myne owns a copy and I skimmed through it. Lots of cool stuff. Will buy a paperback soon. i think the op is better served by Boas due to background information listed. Having a pure math background. The section on tensors was gold...

If you can find a copy of Alonso and Finn Physics at the library. Its a great book but expensive. I would supplement the class book with this one. If you can find Alonso and Finn: Fundamental University Physics Volume 1, which is even better but more harder to find. Than use that one in...