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...").

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51 views

Suggestion for course taking

(Summary) There will be a reading course using Differential Geometry: Bundles, Connections, Metrics and Curvature by C.Taubes. What is the prerequisite for this book? Is its contents something that ...
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27 views

Which field is harder to study general ring-module theory or representation theory of algebras related topics?? [closed]

As a master degree student with interest in both fields I was wondering which field is harder to study and which one is most relevant(if this is well asked question)? I mean ring theory and module ...
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40 views

Scholarships for mathematics international students [closed]

I'm from Colombia and I'm ending my undergraduate and my GPA is 3.3/4; I only know Fulbright scholarships and the scholarships that offer DAAD, my favorite fields are PDE's and Analysis. What other ...
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19 views

Learning modular form for Riemann surfaces

I am currently learning Riemann surfaces and am wondering if learning modular forms would be helpful (like improving my understand, introducing more useful tools in Riemann surfaces,etc), since books ...
4
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1answer
86 views

About (relatively) recent progress in manifold topology and de Rham cohomology

Background: I'm at the end of my BsC and in the next semester I'll start my MsC. I'm already familiar with analysis on manifolds (at the level of Tu's "An Introduction to Manifolds" and Spivak's "A ...
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72 views

How to finish my PhD [closed]

I have M.Sc. in Mathematics and I was/am working on a PhD for almost 10 years now, but I haven't published a thing. I have many results (most in a single field) and potential paper drafts, but I never ...
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1answer
119 views

Where and how should I submit a math paper? [closed]

I've been working on a math paper on and off for years and I think I'm about ready to submit it to some Journal. I recently read that LaTex is preferred but I've already done $15$ pages with many ...
7
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2answers
99 views

Learning Math as a Med student (Self-Learning Undergraduate Mathematics).

I'd like to learn mathematics at a (semi-?)professional level. I'm studying Undergrad Medicine in South Asia. I'm looking to build up on my understanding of mathematics from scratch. This is to help ...
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4answers
170 views

Are proofs always synonymous with explanations?

As I have looked at more and more complicated mathematics I have often found formulas and theorems and so on where I understand the proofs for them but I still don't feel like I understand how they ...
4
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1answer
70 views

How to find (research) literature?

I noticed that if one wants to get into a new branch of mathematics it is really hard to find good literature to start with. Of course, if one googles the name of the subject one will find a 1000 ...
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42 views

Prerequisites for the complex analysis part of Rudin RCA

What are the prerequisites for the complex analysis part of Rudin Real and Complex analysis book? Is it possible to start studying the complex analysis part with the knowledge acquired from the first ...
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0answers
57 views

Are there huge differences between textbooks?

I am about to start my first year in college. I am not a class type student. I like going deep while studying myself and understanding the reasons, beauty behind these ideas. I have been looking for ...
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1answer
92 views

Is doing Olympiad problems in Undergrad,worth it?

I am about to enter in second year as a math major, due to some reasons I have never been into amc and imo like stuffs, but as I am gaining interest in math, it is the regret which is hurting me again ...
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1answer
49 views

What to learn after elementary geometry? [closed]

I'm in love with Euclidian geometry. It seem I mastered elementary geometry, the one that schoolchildren learn throughout school. But I want to proceed to learn it. Could you advice me something? As a ...
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2answers
78 views

What should I study to prepare for College Algebra?

I'm taking College Algebra this fall (Math 111 at my school.) Math has never been my strong point and it's something that I've always struggled with a lot. School starts on September 25th, and I ...
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2answers
124 views

I need a little help with real analysis. [closed]

I once decided that I want to understand real analysis. It's looks exciting, construction of sets of numbers and something else, I forgot already. I learned some logic, propositional logic and ...
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0answers
66 views

Topics for Masters thesis around Birch-Swinnerton-Dyer conjecture [closed]

I am currently looking for a Masters thesis subject in number theory. My favourite subjects are algebraic number theory and cohomologies (I only studied De Rham cohomology). I've been lately reading ...
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1answer
26 views

To what extent are metric spaces involved in Topology

I am new to both subject areas and am currently choosing modules to take next year. I'm pretty certain I want to take topology but metric spaces is currently not on my list. Would it be recommended to ...
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92 views

Elementary Differential Geometry before Manifolds?

Many courses called Differential Geometry (at least in Germany; at least as far as I know!) solely deal with manifolds and not classical/elementary Differential Geometry (curves, curvature, ...
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0answers
15 views

Is semi-lagrangian 1D advection identical to upwind Euler, when $|u|<\Delta x/\Delta t$?

This looked true to me, I worked through the algebra for 1D and confirmed it. But no one seems to mention it, so maybe I'm missing something... I'm using Bridson's SIGGRAPH 2007 course notes. [5MB ...
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2answers
52 views

How can I succeed in a college Trigonometry class? [closed]

I'm currently a physics major and I'm taking trigonometry for my fall semester. What are some tips towards succeeding, in order to get into "calculus"?
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0answers
37 views

Optimization vs numerical methods [closed]

DETAILS: I work as a programmer. After finishing my Bachelors in Statistics I have to choose a Masters. AIM: I want to boost my Math knowledge, both theoretical(I enjoy numerical methods, ...
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2answers
47 views

Question about taking an exam in mathematics [closed]

When I attend to lectures I can gasp the ideas very quickly. When lecturer explaining something I can even think what is he going to teach next. Actually, in the class, I am faster than the student ...
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3answers
54 views

Proving that $I+A$ is invertable when $A$ is nilpotent: What intuition leads to a particular approach?

In an answer to this question, it has been suggested to consider the following: $$(I+A)(\sum_{j=0}^n(-A)^j)$$ Through a series of algebraic operations, it can be shown that $\sum_{j=0}^n(-A)^j$ is in ...
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1answer
114 views

Staying interested in less tangible math [closed]

I've graduated high school and I am joining college soon. The problem with me is that I'm not finding less tangible math interesting at all. Some people find abstract math to be very beautiful, and I'...
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32 views

Tips on studying and becoming proficient at vector calculus

I am a computer science undergrad. I am pursuing my second year open university BS mathematics course. I am currently taking a course on Vector calculus. I am using two text-books - Vector analysis by ...
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0answers
91 views

After Spivak - Multivariable or Linear Algebra? [closed]

I start UChicago in the fall and would like to test into their Honors Analysis sequence (the test being in late September). I’m about midway through Spivak and I really enjoy it. I hope to finish the ...
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60 views

(soft question) Summer Math Project for Undergrad

I’m an undergraduate math major and am currently a rising sophomore. In my first year, I had a fair bit of experience with real analysis and linear algebra (but nothing fancy). I have some free time ...
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2answers
92 views

Publishing material on own website

Im working on an open famous problem (i.e. a conjecture in mathematics), but i am having a hard time figuring out if i can or should publish any of the material im working on, on my website. I don't ...
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3answers
54 views

Will an introduction to number theory help clear concepts of base conversion [duplicate]

I am having a hard time understanding why the division algorithm works during base conversion even after reading some of the answers given on this site. Obviously I am missing a formal introduction ...
3
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1answer
67 views

How hard should one try proving textbook theorems? [closed]

It’s often said that, when you see a new theorem in a textbook, you should first try to prove it. And Bellman said that, if you can solve a problem, it’s an exercise; if you can’t, it’s a research ...
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58 views

Mathematics without coordinate systems

Suppose that a) I understand mathematics to the level of e.g. Rudin's "Principles of mathematical analysis" b) I want to completely expel "coordinate systems" and the resulting "analytic geometry" ...
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32 views

Poincare's Inequality

Assume $\Omega \subset L_d$, for some $d > 0$. Then, for all $u \in W^{1,q}_0(\Omega)$ $1 \leq q \leq \infty$ , $\left \|u \right \|_p \leq (d/2)\left \| \nabla u \right \|_p$. Prove that the ...
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64 views

Any good alternatives to Inverse Symbolic Calculator?

Inverse Symbolic Calculator (ISC for short) is down https://isc.carma.newcastle.edu.au/ :-( What would you use instead of this resource now? Wolfram alpha can give answers in simple cases, but from ...
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16 views

Information about circular sections of an oblique cone with conical base.

I'm looking for information in English about the topic of circular sections of an oblique cone with conical base since almost all the information on this topic is in French and there is little ...
4
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0answers
63 views

advice on PhD proposal [closed]

I am a PhD student in pure mathematics, and I want to work in the field of $C^*$-algebras and operator algebras I am looking for a relatively comprehensive view of this subject. For example, what ...
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1answer
167 views

What is the best way to study graduate level mathematics?

I am studying a 400/500 level measure theory math book on my own. Right now, when I read it I try to read the proposition then the following proof. And then try to do the exercises on my own. I ...
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0answers
12 views

Q: How much overlap is there between pure and applied graduate courses, in the UK?

I am a final year BSc Mathematics student and I am seriously considering taking a Master's sometime soon. Some institutions have two separate courses for pure and applied maths. My question is, if I ...
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0answers
47 views

Research topic- Evolutionary Graph Theory

I read Evolutionary Dynamics by Martin A. Nowak and became fascinated with evolutionary graph theory. I'm mentoring an undergraduate student in the subject and would like to give him a research ...
2
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2answers
117 views

Is graph theory considered to be easy, or remarkably elementary? [closed]

I'd just like an opinion from someone more experienced. I'd like to study exciting and complex fields, and I'm wondering whether or not I should leave graph theory behind. I have somewhere between 2 ...
2
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0answers
55 views

Career Advice: Where to apply Analysis in Industry?

$\textbf{Background:}$ I am a fourth-year undergraduate at a major university in the US, and I will be staying for a fifth year before proceeding to pursue a masters degree. I have taken courses in ...
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1answer
24 views

How do I determine the interval over which my error calculation should be conducted?

I've been instructed to find the values of x for which the function $f(x) = e^{-2x}$ may be approximated by the Maclaurin series $1-2x+2x^2-\frac{4}{3}x^3$ with an error of less than 0.001, but no ...
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1answer
28 views

Determining the values for which a Maclaurin Polynomial approximates $f(x)=\cos(x)$ within an error of 0.001

I'm tasked with determining the values of $x$ for which $f(x)=\cos{x}\approx 1-\frac{x^2}{2!}+\frac{x^4}{4!}$ has an error no greater than 0.001. Using the error for Taylor polynomials $E = |R_n(x)| =...
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3answers
685 views

General Advice on choosing Mathematics as career path [closed]

Firstly, i know that this question will be closed ultimately. But i want to know opinions of various mathematicians here, which is important My Background : I am Bachelors of Arts graduate, 27, ...
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1answer
67 views

General question: Lack of confidence in problem solving [closed]

I am not sure if this is the appropriate place to ask this question so forgive me if it is not. I am a first year graduate student in mathematics. Often times when I face a relatively difficult ...
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0answers
73 views

Advice for last year math undergrad.

I am in my last year math undergrad. I am taking theoretical statistics and a dynamic modeling course, and I need 2 more courses after these. While I received As in everything I did at a community ...
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1answer
54 views

Can someone help? need to find the a and b for this function. Anything helps!! [closed]

enter image description here Function is $f(x)= ax^4-25x^3+2x^2+25x+b $ it passes through (7,E) E= 1296 and there is a zero of -1
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2answers
37 views

Recommended resources for finding nth partial sums of series

I'm working a lot with series these days, and I would like to know if there are any texts, papers, articles that might suggest a general outline for finding $n$th partial sums of convergent series. ...
3
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1answer
151 views

(Soft question) How to study for a proof-based math class?

I'm an undergrad at a top US university and I'm currently taking an Introduction to Analysis class. I really really enjoy this class and it's actually getting me more interested in math in general. I ...
1
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3answers
78 views

Best resources for learning/practicing beginning topology?

I'm an undergrad with minimal experience in proof-based classes, and I'm in a pickle with a current course. Normally, I have trouble understanding and/or retaining information during lectures, so I ...