Hi all, it's been a long time since I last posted on PF. I think I need some help regarding the following. Thanks in advance for the input. (I hope I'm not being awkward...)
Well, I've heard a lot about the general pieces of advice about how to approach girls/women: be confident, be polite ...
Hello PF,
I hope that I'm not repeating an old thread; I've searched for this thread in here, and could not find any.
So, on to my problem then: I've been self-studying from a few math textbooks for a while now. But, the problem is that I quickly get bored while working through the...
I apologize for the vague title, but I'll attempt to explain better what I mean here.
First of all, my background: I've already completed all of my high school math courses including calculus, and I've been considering to pursue math at university/college starting in September. And yes I...
Constructing the "real number system" by Dedekind cuts?
Hi all,
I've just been working through baby Rudin, and I've almost finished chapter 1. I am currently working through the appendix of chapter 1, which constructs the real number system from the rational number system by Dedekind cuts...
Hello, I am from Ontario, Canada. I will be graduating from high school soon, and right now, I have to take care of my university application.
First of all, I am interested in pure mathematics because I really like rigor, proofs etc. Thus, my choices so far are the mathematics programs from...
I want to address this post primarily to people who have already studied mathematical logic, or are currently studying it.
Since a while I've immersed myself in studying some math, and I must say that I started to enjoy pure mathematics. However, sometimes I don't really feel comfortable...
It's been quite some time now since I decided to stop self-studying physics and to pay more attention to the math behind. I'm working towards gaining an understanding of 100% rigorous mathematics for now.
One thing that has always bothered me is the Dirac delta function. What I want to know...
I've been considering a possible career pathway towards becoming a university professor/researcher for quite some time now, and I actually have some questions concerning that.
Actually, first of all, what is the difference, if any, between a professor and a researcher?
Secondly, aside...
Hi everyone, I've been looking for the finite sum formulae of trig functions. I've found the easiest ones (sine and cosine). But the one for the tangent seems to be very hard. No mathematical tricks work. Plus I've looked it up on the internet. Nothing. I will greatly appreciate your help...
Hi everyone,
I've always wondered what's that fuss for unifying general relativity and quantum mechanics all about. I stumbled upon things like string theory(or M theory) and even loop quantum gravity( which I think is as good as string theory despite rumors).
My...
Hi,
I am a highschool student and my fields of interest are physics and mathematics. I've been advised to apply for the mathematical physics undergraduate program but I don't want to rush so that I won't have to regret my decision afterwards. I have a few questions about the paths I can take...
Hello everybody, I am sure that there are lots of people like me here who like to think (about abstract things such as mathematics etc) very often. In fact, whenever I get an opportunity, I just start scribbling in a notebook about theorems, proofs and all that.
So here's the thing I...
Hello everyone, I am currently in highschool and now I am completely sure about what I want to study at university level. The only problem is that I love both Physics and Pure Mathematics... So now I'm not really sure which program I'll have to apply for. Should I study either physics or pure...