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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Inhomogeneous Equation Advice

How would you approach the following equation $$x^4 f'' - \alpha x^3 f' - \left( \beta x^2 + \gamma x - 1\right) f -1 =0$$ where $\alpha$, $\beta$, and $\gamma$ are positive constants? The solution I need has to be finite in the origin, from which…
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How to study vectors and 3D geometry

It may be too broad or also offtopic question but I really want to know how to study vectors and 3D geometry. My interest in these topics is very low thus want to gain some .Any suggestions or names of websites providing interactive examples to…
Archis Welankar
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Problem solving ability

Have a nice day. Please write serious answer. :) I have a problem and reduce my motivation. problems as follows; I am learning math is really very fast. I can read few books only one day. I understand the issues very quickly. example, I read the…
Rieendstac
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Complex analysis,Functional analysis for deeper understanding Machine Learning.

I want to get deeper into the Machine Learning(theory and application in Finance). I want to ask how relevant are complex analysis and functional analysis as a basis for Machine Learning? Do I need to learn these subjects or should I concentrate…
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What are some branches one is introduced to as undergraduate?

I just completed my high school and have little knowledge about what an undergraduate math program includes. I wanted to know what are various branches of mathematics one is introduced to as an undergraduate. I know some like real analysis, linear…
gambler101
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How to do complicated problem without messy mind?

I have trouble when doing complicated problem, when I look at a problem with so much information. (e.g. deal with some concrete example such as proving a 'ugly' space is homeomorphic to another 'ugly' space by explicitly writing down the…
Longitude
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Where to start Stochastic processes

This semester I have the course stochastic processes in university but as our instructor is awful I can't rely on him and I should study this course on my own.To start, I need a suitable book for self-study which has solution manual so I can check…
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*ADVICE* Intuition about techniques for disproving the existence of simple groups of given order

Looking for some feedback on how to know when to use the different techniques for disproving there are no simple groups of a given order. the techniques being: 1) counting elements 2) using subgroups of small order 3) permutation…
oliverjones
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Abstraction and/or concreteness - What should be emphasized

Alexandar Grothendieck was probably a mathematician focusing on theory developement and abstraction much much more than focusing on concrete examples and/or problems. In his biography, he wrote: If you think of a theorem to be proved as a nut to be…
user185498
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Any advice to help visualizing/understanding theorems in Real Analysis?

I am currently taking a real analysis course and sometimes I can't really get the complete meaning/details of certain theorems. For example, one of the statements in the Heine-Borel Theorem saying that: Every open cover for $K \in \mathbb{R} $ has…
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Is model theory needed to understand ordinal logic?

By ordinal logic, I mean turing's ordinal logic. I'm going to learn first order logic, elementary set theory, basic computability, and godelian incompleteness as prerequisites for ordinal logic. But, since I'm a math beginner, I don't know if I will…
crocket
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How to find out leading research articles in a specific area?

If one needs to find out the leading research articles and most cited or influential research articles in a specific area of mathematics, let's say, fractals, chaos and non-linear dynamics what that person should do?
Praveen
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Advice: applying/getting into number theory and algebra

I am currently a junior in a completely unknown liberal arts college/mathematics department. So far, I have take two courses in Abstract Algebra and group theory, one in linear algebra, currently taking Real Analysis. Next semester, I will most…
HumbleStudent
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Background for Graduate Real Analysis I Class

This semester, I have signed up for a graduate Real Analysis I course (really a course in measure theory/Hilbert Spaces/Lebesgue integration) and have thus far attended two lectures. However, from what I see thus far, I feel concerned that my…
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Rudin's Chain Rule

Rudin's chain rule theorem goes like this: Suppose $f$ is continuous on ${[a,b]}$, $f'(x)$ exists at some point $x\in [a,b], g$ is defined on an interval $I$ which contains the range of $f$, and $g$ is differentiable at the point $f(x)$. If…
Wakaka
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