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Questions tagged [self-learning]

Questions about how someone learns on their his or her own, outside of traditional classroom environments.

42 votes
6 answers
3k views

Effects of early study of advanced books

Context: There was recently a question on Math.SE: Inferior to Other Younger and Brighter Kids which starts as follows: I'm a high school student (Junior/Grade 11) and I'm currently studying ...
dtldarek's user avatar
  • 8,967
26 votes
4 answers
2k views

Lesson plan to self-teach real analysis to student with comp-sci background

For my background, I'm a software engineer currently studying for his master's degree in information security. But when that's all done, I plan on going back to mathematics to keep me busy. But with ...
avgvstvs's user avatar
  • 403
21 votes
8 answers
7k views

How do I learn advanced mathematics without forgetting?

I am pursuing mathematics through distance education and I find that it takes me a long time to understand the concepts (e.g. sigma fields, measure theory, connected topological spaces, etc.). After I ...
user avatar
20 votes
5 answers
4k views

What does it take to find a good math book for self study?

I'm 20 and I never learned math properly in my highschool. I found my interest in math last year and I've been searching for books since then. I tried Khan academy but I have difficulty paying ...
Abdul Kalam's user avatar
20 votes
6 answers
4k views

How to learn math from textbooks in the right way?

I am a freshman studying math. Everytime I learn Mathematics, I do it the slow-way. I tend to read the definitions until I make sense of what is written in the texts. I can spend a whole day trying ...
Minh Khôi's user avatar
19 votes
9 answers
30k views

Is it too late for me to start learning mathematics?

I am 26 now. I left study after completing school. Now I am thinking of doing a Bachelor's degree in mathematics. I purchased a basic Calculus book and I found it interesting. So I took some advice ...
user10718's user avatar
  • 191
19 votes
5 answers
11k views

Learning Mathematics with the aid of spaced repetition systems

I am currently self-studying, so I learn using a textbook which I work through in a linear fashion. As I am introduced to new concepts I ask myself questions and I attempt to answer these questions ...
seeker's user avatar
  • 915
19 votes
3 answers
2k views

Is it natural for self-learners to forget most proofs of the theorems they learn?

When I read a theorem and read its proof and fully understand it, am I supposed to know the proof even after a long time or is it natural to forget the it? I ask this question as I'm a self learner ...
FNH's user avatar
  • 291
18 votes
7 answers
6k views

Lack of intuition, retention while self studying

I am a first year undergraduate student, currently in second semester. So basically I learnt most of the first year stuff in high school, so I have a lot of free time in this year (currently in ...
katana_0's user avatar
  • 349
18 votes
4 answers
1k views

Inquiry about my note-taking skill

I am a rising college junior in US with a major in mathematics. I recently noticed a problem in my note-taking skill in the mathematics, both from the textbooks and lectures. When I was a ...
MathWanderer's user avatar
17 votes
2 answers
1k views

Why do most of the books in mathematics not include answers?

I am currently going through the Topics in Algebra by I.N. Herstein. The problems are pretty good, but there are no answers. The same is the case with Mathematical Analysis by Rudin. Why is this? ...
tattwamasi amrutam's user avatar
17 votes
5 answers
521 views

How do you revise?

I'm not too sure if this is the right place for my question, but I couldn't think of anywhere more suited. I am a first year university Math student, I am currently revising for six end of year ...
Mark's user avatar
  • 273
15 votes
5 answers
1k views

How does a student learn to 'dig behind the scenes' or 'feel' math like a Fields Medallist?

Source 1: Siobhan Roberts, Mathematical Beauty: A Q&A with Fields Medalist Michael Atiyah, Quanta Magazine, 2016/3/9. Is there one big question that has always guided you? I always want to try to ...
user avatar
15 votes
2 answers
1k views

Why are hand waving arguments made in textbooks of undergraduate analysis and how should readers deal with them?

Having read several undergraduate textbooks in complex analysis (Stein-Shakarchi, Gamelin, etc.), I find that some "hand-waving" arguments are frequently used. An example (the proof of the ...
user avatar
15 votes
2 answers
2k views

How to effectively internalize math?

Terrence Tao commented of internalizing [here: https://terrytao.wordpress.com/career-advice/does-one-have-to-be-a-genius-to-do-maths/ ] "It is true that some mathematicians can be vastly more ...
user avatar

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