Recent content by loom91

Try Needham's Visual Complex Analysis. It may not be entirely rigorous, but it's very exciting. Molu

Consider the two following important results in complex analysis (stated imprecisely of course): 1) The integral of a function over a closed curve is determined only by its behavior at the interior singularities. (Cauchy's Integral Formula) 2) A function takes on every value (except possibly...

I don't know how useful it is in "doing" physics, but I think learning complex analysis deeply fills a hole that every human being has in their heart after taking just real calculus, whether they know it or not. It's like standing in front of the Louvre and deciding whether to go in: it's not a...

Any possible connections with complex analysis?

I'm not really worried about the heaviness, I'm sure I can handle SICP after having dealt with the abstraction of real analysis. But signerror, why do you say that SICP is not about functional programming? Molu

Any help?

Wow, thanks signerror and Coin, really helpful replies. It seems to me from your examples that a lot of Python's power (apart from the convenient syntactical sugars) comes from it allowing a functional programming approach. So I think I'll start learning Python after I pick up a little purely...

I was also leaning towards Python a bit. Why is PHP preferred for web development? Molu

Hi, I've been programming for some time now, and I've learned the so-called industrial languages, like C, C++ and Java. Now I want to pick up a scripting language, but I'm getting confused by the variety. Even if I take the most well-known options, there are Perl, Python, Ruby and PHP. Which...

Hi, I'm a 2nd semester student in the Indian Institute of Technology, Kanpur. My fields of interest are AI, particularly machine learning, pattern recognition etc. I have done a project on pattern recognition in the Indian Statistical Institute, Kolkata. I've some ideas about constructing...

Ah, that's what I was looking for. Though irrationality measure seems a very difficult thing to wrap your mind around, so I don't know if we can effectively explain that in a short time period, but let's see. Incidentally, is there any particularly intuitive reason for e having the irrationality...

Anything else?

Ok, we could talk about that, but that's rather too basic for a 2nd sem undergrad class. Most of the students have already encountered that material in high-school, they would appreciate something slightly more challenging.

Hi, I'm presenting a proof that e is transcendental, but I want to spice up the presentation a bit by exploring some interesting perspectives, such as connections to topology, abstract algebra etc. I've already selected the Lindemann–Weierstrass theorem as a possible candidate. Can you suggest...

Anyone who has actually tried the videos, or the lectures they are based on?