Bran said:
I think PopSci is part of what has confused me; and I'm still shaking my head at the fact that I haven't already taken a more disciplined approach to this interest of mine. The mathematics will be an interesting challenge for me. 20 years ago, after failing remedial algebra at the university, I had to take a placement test, the results of which somehow gave me the option to bypass algebra outright and go straight into calculus. I thought someone at the math department had a sick sense of humor, and never trusted myself to learn calculus - not too long after taking this test, I got into computers and chose a different path altogether. I can see from the discussion in the thread that led me to starting this one, that if I really want to understand what interests me, I'm going to need to be able to understand the math involved. So I think you called it correctly. Skipping ahead, I think Bandersnatch's advice in this regard makes sense - if I don't understand the math that goes hand-in-hand with everything else I'm reading, odds are good that I'll wind up confusing myself. The possibility to take a few classes here at the local community college exists - I think this might be a good idea before I pick up the book you recommended. Cosmology definitely interests me - both from a scientific and philosophical perspective - and I will look into the Susskind lectures you recommended within the next day or so. Thank you for your recommendations!
As a determined lifelong learner, I can assure you that you can learn anything, if you
really want to. Regarding math, if you want a worthy path to follow,
micromass is an expert - do not misinterpret this: there is a whole lot of great, very well educated people here in the forum, from mentors to members, but
micromass is truly great on math, so you can ask for advice about what math - math books you will need. Personally, I spent a long time to self - learn many things in math, besides what I formally learned in Computer Science. In Calculus for instance, I used
Stewart's Calculus and
Schaum's Outline of Calculus many years before,
Kolmogorov - Fomin and
H.Brezis for Functional Analysis and
Munkres "Topology" to name a few.
Bran said:
Skipping ahead, I think Bandersnatch's advice in this regard makes sense - if I don't understand the math that goes hand-in-hand with everything else I'm reading, odds are good that I'll wind up confusing myself.
Yes, that's absolutely true and that's why I put the constraint of getting to learn some advanced math, in order to get a quantitative sense. It is true that you can do fairly good without math at a qualitative level, but you'll end up not knowing "the whole story" - this of course, in case you really want to dig a subject deeply enough.
As an extra recommendation - I have personal experience on this, online courses from
Coursera and
edX, are really worthy for many diverse backgrounds and learning goals including self and life - long learners. If you want to get a statement of accomplishment with no cheat, you have to spend a lot of time studying and you really learn and get the motivation to pursue a subject further.
As a last comment, I think math are absolutely necessary, in order to discover and conceive the beauty of Physics.