Questions tagged [advice]

Questions asking for advice on various mathematical matters. Be careful that your question is answerable, and also that it is not a polling question (e.g. "What is the best / your favorite way to...").

Questions asking for advice on various mathematical matters. Be careful that your question is answerable, and also that it is not a polling question (e.g. "What is the best / your favorite way to...").

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Is it ill-advised to read books casually for entertainment?

I'm a student who has about a year (and a few months) to go before entering a university and I've been reading some math books recently. I'm on Chapter 6 on Rudin's PMA, Chapter 5 in Munkres' Analysis on Manifolds, and Chapter 5 on Herstein's Topics…
cheeseinthetrap
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Learning mathematical concepts

Our teacher loves to test us on pure concept based questions and test if we really know what we are doing when learning a particular lesson. For example, when we first started learning about trigonometric identities, he once put a question on a test…
Shrey
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How to remember various set operations very easily?

I need an way to remember the set operations very easily. Does anybody have any idea? For example, how do you remember the distinction between Set-Intersection and Set-difference? I regularly mess it up.
user6704
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High school looking to prepare for university

I am a high student and doing the general math course at my high school, it will cover: Geometry Graphs and Relations Matrices Statistics Next year I want to enroll in a science degree and major in mathematics and statistics. So I was wondering…
George
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How to say when the integral converge and when diverge?

I have the following integral. $$I=\int_a^b |x|^{-p} dx$$ where $a
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Question about proving something is a group: in general not a specific structure

I could use some clarification, this isn't that difficult of a concept but I feel it's easily screwed up when doing so If you have a structure with a binary operation. First thing to do is check whether associativity holds this one is not an…
oliverjones
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If $\alpha\in X/R$ is an equivalence class, then $F:X/R\to Y$ defined by $F(\alpha)=f(a)$, is well-defined, 1-1 and onto.

Let $f:X\to Y$ be a surjection. Let $R$ be the subset of $X\times X$ consisting of those pairs $(x,x')$ such that $f(x)=f(x')$. Then $R$ is an equivalence relation. Let $\pi:X\to X/R$ be the projection. Verify that, if $\alpha\in X/R$ is an…
Mr.Young
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I need help organising these books by topic

Okay, this should be a quick and easy question for those of you who've studied calculus. I have a list of books that I want to order by topic, the books are as follows: Michael Spivak - Calculus Michael Spivak - Tom Apostol - Calculus, Vol. 1…
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Dollar weighted return. Formula or definition?

I was learning dollar-weighted return and I was a bit puzzled by the following and I would like to have some advice. I understand that it's basically the internal rate return, but using simple interest. So, letting $A=$ initial amount, $C_k=$ amount…
hyg17
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How to argu on the interval of real line?

We have the two real intervals [a,b] and [c,d] as shown below, From figure it is very clear that $c\leq a$ and $b \leq d$. I wanted to know what one can give argument on it why is $c \leq a$ and $b \leq d$?
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In need of some advice!

I am doing Mechanical Engineering (2nd year) and it's already becoming clear that I am no more interested in this course.I am very much motivated to study Theoretical Physics and Pure Mathematics(I believe this is the best thing a human can do!) but…
user184083
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Linear Algebra and Set Theory book recommendations.

I would like to studying linear algebra and set theory. Does anyone have a a good recommendation of books/resources/etc.?
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Need examples of different functions for homeomorphism in product topology

I am looking for a bunch of examples of homeomorphisms in the finite product topology. I need it for a proof Someone mentioned my question was vague . The theorem is: Let n>1 and let $X_1,...,X_n$ be topo. spaces Then each $X_i $is homeomorphic to…
user960654
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Is learning linear algebra fundamentally different from other mathematical fields and how do you actually learn it?

I am currently taking a linear algebra course and I have an issue I have never ever experienced before. I understand nothing. Nada. I have never been a genius, but I learn fast. I have never struggled with mathematics before and I just scored near…
linker
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Preliminaries to start linear algebra?

Title says it all, are there also any specific online courses or books you would recommend for the prerequisites? Thanks
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