Questions tagged [self-learning]
The process of studying mathematics without formal instruction. Don't use this tag just because you were self-studying when you came across the mathematical question you're asking; it is only for when the fact that you're self-studying is what your question is about.
4,438 questions
0 votes
0 answers
74 views
As a high school student, what resources would help me learn the foundation of maths? (axioms and definitions) [closed]
I am a high school sophomore, and I am currently trying to prove everything I have learned about math until now starting from basic axioms and definitions. However, I found it extremely hard to find ...
- 149
1 vote
0 answers
52 views
Banach Implicit Function Theorem - Obtaining implicit derivatives of parameters while keeping functional equality fixed
Suppose I have a nonlinear real function $F(x, \omega, \xi)$, where $x\in\mathcal{X}, \omega\in\Omega, \xi\in\Xi$. Here, $\mathcal{X}, \Omega, \Xi$ are subsets of $\mathbb{R}^n, \mathbb{R}^m,\mathbb{R}...
- 31
0 votes
0 answers
20 views
Identifiability of generative model after fixing observed sampled distribution
These are related problems I created (feel free to suggest problem modifications, e.g. adding hypothesis): Problem 1: Let A be a fixed random variable and $f:R \rightarrow R$ a measurable function, ...
- 4,238
4 votes
0 answers
240 views
What should I do if I can't do many exercises when self studying?
I'm currently self-studying functional analysis. My general approach is to read each chapter, make sure I understand all the definitions, and carefully follow every proof. I usually manage this part ...
- 969
1 vote
0 answers
45 views
Approaching Homotopy Type Theory [from a Programmer's perspective] [closed]
I want to learn HoTT with a very specific goal: understanding computational theorem proving. Current background: Some category theory Undergrad algebra and very little of topology Very strong ...
- 1,052
4 votes
1 answer
379 views
Analytic Number Theory - Self-Study Plan
I graduated in 2022 with my B.S. in pure math, but do to life/family circumstances decided to pursue a career in data science (which is going well) instead of continuing down the road of academia in ...
-1 votes
1 answer
225 views
Algebra is my challenge [closed]
I want to learn more about algebra and matrices. I just turned 52 and mathematics is one of the subjects that it makes me feel that I can challenge and maintain my brain healthy. Could you recommend ...
0 votes
0 answers
66 views
Interpretation of matrix product $AB$ as sum of matrices of rank $1$
Singular value decomposition of a matrix $A$ of dimension $m \times n$ reads $A=U\Sigma V^+$. It can be seen as a way to decompose the matrix into a sum of rank-1 matrices: $$A=\sum_{i=1}^r \lambda_i ...
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