Questions about studying mathematics without formal instruction.
6
votes
1answer
436 views
Supplementary exercises for Herstein's Noncommutative Rings
I've been studying from the book Noncommutative Rings by Herstein (not as a part of some official course), but unfortunately it doesn't contain any exercises apart from a few simple ones in the body. ...
5
votes
3answers
502 views
Mastering Math - Grade school- to College-level?
I'm having difficulty with my math, fractions and up. I used to understand it all, but it's been so long since I've touched the book (I finished it a couple of months ago, picked it up to review ...
3
votes
1answer
586 views
Are there any dependent and non-correlated random variables so that $E[X]\neq0$ and $E[Y]\neq0$?
there's a something that I though about that Disturbing me for quite some time now:
Let $X$ , $Y $ be a random variables.
I call random variables independent if for every possible value of $x_{i}$ ...
4
votes
2answers
358 views
Excellent review/introduction for a future grad student in need
I recently graduated with a computer engineering degree and am now going to study neuroscience/neuro-engineering at the graduate level. I need to beef up on my linear algebra, differential equations, ...
2
votes
4answers
180 views
calculus- limit includes polynomial
Good morning,
I would like your help with proving that
$$\lim_{n \to \infty} \frac{e^n}{P(n)} = \infty,$$
where $P(n)$ is a polynomial of degree at least $1$.
Thank you very much.
9
votes
1answer
695 views
Good introductory books on homological algebra
Which books would you recommend, for self-studying homological algebra, to a beginning graduate (or advanced undergraduate) student who has background in ring theory, modules, basic commutative ...
9
votes
7answers
488 views
Simple fact on linear operators
The question is from Axler's "Linear Algebra Done Right", which I'm using for self-study.
We are given a linear operator $T$ over a finite dimensional vector space $V$. We have to show that $T$ is a ...
7
votes
2answers
418 views
Math route for someone of this background
Apologies for a soft question. I do not have a lot of time because of my job (programmer) and my wife cannot work so I cannot quit. I also did not graduate from a very prestigious school with good ...
24
votes
13answers
8k views
Formerly good at math, but after 12 years I've lost most of my skills. Now I need them once again. Any advice to grow them back?
I love math, and I used to be very good at it. The correct answers came fast and intuitively. I never studied, and redid the demonstration live for the tests (sometimes inventing new ones). I was the ...
4
votes
2answers
235 views
Is there a online reference that chains mathematical knowledge from simple to complex?
I'm a very, very logical person -- but I've never taken any math classes; really, I know.
So, on that note -- how do I teach myself math? As my question might suggest, I see the answer as being an ...
59
votes
9answers
9k views
Learning mathematics as if an absolute beginner?
I dread mathematics, and I believe it's because I have come to associate mathematics with the experience of terrible teachers. All of my math teachers have been grumpy, but one in particular was the ...
8
votes
5answers
3k views
In what order should the following areas of mathematics be learned?
I am in a biological field (medicine) but I have genuine passion for mathematics. I want to learn it on my own , in my spare time. Mathematics , as I gather, is learned best when you have grasped ...
7
votes
8answers
839 views
Self-study resources for basic probability?
I am taking a Computer Science class soon that requires a solid knowledge of the basics of probability. I've only had minimal exposure to probability in classes I've taken in the past, so I need to ...
11
votes
3answers
834 views
Learning schemes
Could someone suggest me how to learn some basic theory of schemes? I have two books from algebraic geometry, namely "Diophantine Geometry" from Hindry and Silverman and "Algebraic geometry and ...
5
votes
5answers
763 views
Coxeter's “Geometry Revisited” vs. “Introduction to Geometry”
Which of these two books should I read first? Is one of them more advanced than the other? I'm planning to use them to self-study geometry.
Thanks.
4
votes
3answers
625 views
Suggest me the path to learn Maths
I am a Software Engineer. With interest on computers I have chosen this path. But I don't know anything about great maths. I want to learn from basic to some level(which would help me in my ...
12
votes
5answers
5k views
Good books for self-studying algebra?
I have a few weeks off from school soon, and I was hoping to self-study a bit of algebra. I don't think this question has been asked on here before, but does anyone have any suggestions for algebra ...
3
votes
5answers
640 views
Preparing for first year CS
I'm in Italian guy almost in my 30. I have a regular job as a programmer. When in school I've never been much interested nor good in math and even at the university I've been studying languages, hence ...
7
votes
1answer
335 views
Automatizing computational skills
"It is a profoundly erroneous truism, repeated by copybooks and by eminent people when they are making speeches, that we should cultivate the habit of thinking of what we are doing. The precise ...
2
votes
2answers
267 views
Good SAT learning resources?
I'm looking to brush up on SAT math. (That's basic algebra, probability and trigonometry.)
I'm interested in books and websites.
4
votes
7answers
474 views
Supplementary reading for probability theory studies
Can you advise some good books covering areas which are required for serious probability theory studies (e.g. measure theory, functional analysis)? Preferably this book should have some problem sets ...
14
votes
8answers
4k views
How to start with mathematics?
I fell in love with mathematics a bit too late when I've already taken decisions regarding my future, career-wise. Now I would like to learn math on my own but I'm a bit confused as where to start. My ...
29
votes
6answers
3k views
How Do You Go About Learning Mathematics?
I really like mathematics, but I am not good at learning it. I find it takes me a long time to absorb new material by reading on my own and I haven't found a formula that works for me. I am hoping a ...
4
votes
0answers
158 views
physics/mathematic simulations
Related to this question: http://math.stackexchange.com/questions/2626/modelling-forces-acting-on-a-sail
I would like to create a simulation of the forces.
I have done this before with cars:
...
6
votes
4answers
326 views
What are some good resources for brushing up on geometry and trigonometry?
I'm brushing up on my calculus, and geometry and trigonometry keep coming up. However, these are probably my weakest areas mathematically. Are there any good sites or free PDFs/ebooks that I can use ...
