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Why do mathematicians and physicist use the words “elementary” and “introduction” for advanced textbooks in the field? Is it to flex intellectual powress?

Say I am enrolled in a CS PhD program but want to get hired as a quant. What math courses should I take to get the required background? Would I even be looked at if I had a CS PhD instead of a Math PhD?

In countries like the US it starts at birth. Families in rich areas will send their children to elite, selective high schools that cost upward $30,000+. Some of these schools have strong math and science curriculum and are considered direct feeders to elite universities, such as the ivies. These poorer kids could be high IQ'd just like the richer ones, but with less access to resources, may be very behind their richer peers. These richer kids will get into the elite schools, while the poor kids may go to lower end ones or not go to colleges at all. Rich parents can hire their children SAT tutors, ensure their children go to good STEM schools, have various college prep resources for their children, while the poor parents don't know anything about college, sent their children to lesser high schools, and have children that may be just as bright, but essentially ones that have no chance to be admitted to the places they otherwise might have gotten into. College admissions at elite colleges favor children from the elite that had the resources to prepare their children for such pedigree. There are exceptions to the rule, but many poor families face deep struggle. This is regardless of however high IQ'd their children may be.

I agree. If you look at what a mathematician does they sit around and think. You don't have that sort of luxury if you are from a poor family and have to worry about basic survival. In many cases (not all) the people that complete major accomplishment X at young age Y is from an upper middle class to upper class family with lots of life advantages. Not everyone have these advantages early in life and may eventually get to those positions due to their talents, but it may take them longer given their life situations. There are poor but extremely talented underrepresented people out there the world may never know. We tend to celebrate talent from the elite class, not the poor. The elite are given resources they need to succeed, the poor are often overlooked. This can cause a major talent drain from truly exceptional but unknown folks in the world.

>Maybe I'm just easily impressed but the idea of a 17 year old who skipped three grades and is already a third-year university student..

Not saying this applies to Tang. But would you be equally impressed by a 17 year old from an upper middle class family whose parents recognized their gifts and used their influence to assist them in skipping 3 grades and enrolling in college early vs 17 year old from lower income family who is equally bright as the former kid, but graduates at 21 and receives no recognition for it due to an unheard of advisor at a low ranked school? On paper you'd be more amazed by the former, while the latter is equally as bright but is sort of dismissed because of their situation.

This is a great list. Thank you.

Jeremy, thanks for putting this out. I had issues with part 1, v1 with the AWS set up. But I had none of those issues with this course. As a beginner programmer the template provided via Paperspace is just what I needed. I've been waiting for this course to be released for a really long time now, so I am incredibly excited to have successfully set up the environment and am now FINALLY ready to learn. Thank you!

Okay, I will check in a week or so. Thanks.

This is welcomed news, thank you for the update. Can you link to v2? On the site I just see part 1, v1 with the AWS set up. This is the beginner unfriendly/outdated one I am referring to, and I don't see the updated version you're referring to.

As a beginner I cannot recommend this class in its current form. The first lecture with its setup walk through is outdated and I have trouble understanding how to do a work around.

What are good resources for beginners wanting to learn about natural language processing? Are there any good books, tutorials, courses, etc?

How does one get hired to be a researcher at google? What job title or level would this be? How does being a researcher differ from being a regular SDE? What background are they looking for here? Do these people write code on a daily basis?

As a follow up: I want to pursue a math degree study. What course titles and textbooks starting at the calculus level do you guys recommend? I want enough math chomps to then go onto a PhD in ML.

Great, thanks!

What courses (starting from pre-calculus) should one take to do what you listed above? I want to match your recommendations to course titles starting with pre-calculus. List book recommendations as well if you would. Thanks!

Starting from pre-calculus what areas of mathematics (with book recommendations) should one study rigorously to have the foundations to pursue a PhD in Machine Learning?

If you obtained a degree in Computer Science and specialized in Machine Learning are you suppose to be able to answer these questions? What job specialization is this aimed for? Almost strikes me more as a statistical based interview.

Looks like he does research in theoretical computer science, applied to cryptography. With his academic expertise, what kind of industry jobs would fit his skill sets? He wouldn't fit the typical tech security job.

This report (and others) suggest companies are hiring those with non-CS degrees. If this is the case, then how do self-taught or non-CS majors get hired when the bar to entry is solving medium to hard level leetcode problems?

Cool!

IQ test results are not completely valid in all cases. Feynman was tested at 125. He wouldn't qualify for MENSA. It is thought by some Feynman may have done exceptionally well in the areas that deal with numbers, logic, pattern matching but poorly in the verbal areas of the test, thus suppressing his overall score. How many people here have a tested IQ higher than 125 want to say they're smarter than Feynman?

IQ test are also not completely accurate for those that are gifted and have a learning disability. Kids that are gifted + LD'd may not even be put in gifted programs because their IQ scores are too low, but too high to put in an LD program, so they are stuck in normal class rooms where it isn't a good fit for them. Imagine being just as intelligent, if not more so, as the students in the gifted classes but denied access. That's what IQ scores do for some of those kids.

IQ test tend to work for gifted people that answer questions quickly and those without lopsided talent. If you are gifted + LD, or gifted but have really slow processing speed, then IQ test will not identify you as really that gifted, despite being so.

I am beginning to learn Haskell. Are there any good 'beginner' level tutorials to follow where I can actually build little projects along the way?

The response makes it sound like they were accepted to a MS program under the condition they complete undergrad courses. I am curious which MS program this is.

What graduate program is this? Most MS programs I came across make you take CS pre-reqs before applying.

Thanks for the response. My question is how does fixed point relate to the incomplete theorems and decidability?

Can you explain the fixed point idea more in a beginner way? I'm curious to understand the result.

Every reply to my parent question has been excellent. What beginner resources do you recommend for learning category theory and its applications to programming?

Besides crypto. What applications does Abstract Algebra have in CS?

You missed the part I said I wasn't claminig Uber / Lyft drivers had CDL licenses and mentioned I thought most wouldn't.

Thanks for the downvote and reply to something I didn't claim.