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.

4393 questions
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a function to make it integrable

I am looking for a function f(x) that by itself is continues, and its integral is infinity but when multiply by $1/\log(1+e^{-x})$ makes it integrable. In other words, $$ \int_R \frac{1}{\log(1+e^{-x})} f(x) dx <\infty $$ where $$ \int_R f(x) dx…
Rose
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Analytic geometry - historical & applied

What would you suggest as good sources for a self-study of analytic geometry, from the elementary properties of quadratic curves to curves of higher degree, with emphasis on historical development and practical applications in mechanics, astronomy…
exp8j
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Learn mathematics

At school, I was very good at mathematics, but now I'm 40 years old and I think I have forgotten almost everything I have learnt. I want to study again mathematics because I'm very interested on it. How can I learn it? Is there any book or…
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Jar has 10 dimes/12 nickels. After draw1, The coin that is drawn first is added back + 1 more of the same type. Find P(Dime1|Dime2)

To clarify, Find the probability that the first coin was a dime given the 2nd was also a dime. I'm very sorry for the extended title, but it says to be very specific. I think the tree diagram method is very tedious when I have so many items to work…
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What does $a\mid p$ mean?

For all a, m, p, q, x Є Z such that a|p, There exists r Є W, such that 0 ≤ r < m Such that (px+q) MOD (ma) = q MOD (ma) iff (ma)|p q MOD a + ra iff p MOD (ma) ≠ 0 I am not able to understand this problem properly. I know that Z is a set…
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Back Substitution

My professor explained the math behind a simple random walk process but I was unable to follow one of the steps. The first equation was: Xt=(Xt-1)+et He then said "we need to back substitute in for Xt. This resulted in: Xt=Xt+(et-1)+et Can someone…
Amaziah
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Using telescoping sum to solve this identity of product integrals

I want to show that: $$\prod_{j}(1+a_{j})-\prod_{j}(1+b_{j})=\sum_{j}(\prod_{i < j}(1+a_{i})(a_{j}-b_{j})\prod_{k > j}(1+b_{k}))$$ The only hint I have is that I can replace $$ a_j - b_j = (1-a_j ) + ( 1-b_j) $$ I see there are $a_j$ and $-b_j$…
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Pre-Requisits for Learning Topology

I am an art student and I think my work could benefit from broadening my horizons on mathematics. I am mostly interested in Topology, but starting from high school mathematics I don't know where to begin learning. Could you give me an order of…
A.G.
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Math in Russian. hi, i want to learn math for programming. BUT my main language is russian

I am not very good at English, but I was able to complete the cs50 course (on English full). And, I realized that without mathematics it would be difficult to read the proof of algorithms, and generally develop as a programmer (to be a good…
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Complexifying the integral questions

I'm self-studying MIT 18.03. I have come across a topic, the complexification of integrals, and would like to do practice questions involving this topic. I cannot find any questions pertaining to the topic in any calculus textbook, or differential…
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How to know what to study based on past examinations?

TL;DR: Tell me which topics should i study the most, based on this three tests: Mathematics (A): 2020 2019 2018 This question may sound a bit weird, since the natural answer would be "study whats already is on the test" but i'm wanna share a bit of…
Carlos
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best textbooks for difficult specialist maths questions in year 11

I am currently studying year 11 specialist maths in Western Australia and I am doing the O.T. Lee textbook, however, I am looking for harder questions that will properly challenge my conceptual understanding of the topic. These are the topics being…
Paul
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How can I show that Mathematics is not all about numbers?

My goal is to be able to show that many concepts in Mathematics do not necessarily need numbers, and they can be formalized for sets that do not involve numbers. To explain what I mean, suppose I define the following set of objects: $$ G =…
mhdadk
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Study skills for maths in college

I'm currently studying Electrical Engineering and Computer Science but I really do enjoy math since junior high school . I have enjoyed all sorts of math I've been taught , geometry, linear algebra, analysis .. Right now in uni , we have a discrete…
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Self-Study Regimen

What are the prerequisites to self study projective geometry and universal algebra? The farthest I've gotten is undergraduate abstract algebra: Groups, Rings, Fields. Of course there is a lot left, but specifically what books should I read? I still…