Questions asking for advice on various mathematical matters. Consider adding the tag [soft-question] as well.
0
votes
1answer
97 views
Which topics of real-analysis should be studied if you have already done calculus
Which parts of real-analysis are worth studying if you have already taken several calculus courses? I know that real-analysis is more 'rigurous', but still I wonder whether it is worth to again go ...
4
votes
6answers
170 views
Which topics of mathematics should I study? [closed]
I'm a first year econometrics student with a great interest in mathematics. I very much enjoy my study, but still I am interested to learn about more topics in mathematics which are not part of my ...
5
votes
3answers
108 views
Importance of Neatness / Organization / Speed in Math?
Pretty simple question here but it does relate to math. I ask this as my writing is quite messy, possibly a cause of silly mistakes.
How important is neatness in math?
Does having messy writing put ...
5
votes
1answer
56 views
Applications of information geometry to the natural sciences
I am contemplating undergraduate thesis topics, and am searching for a topic that combines my favorite areas of analysis, differential geometry, graph theory, and probability, and that also has ...
3
votes
2answers
82 views
What are some reasonable things to prove about the Collatz Conjecture?
I am writing an undergraduate paper on the $3n+1$ problem, and I am looking for some theorems related to the problem that would be reasonable for someone with my mathematical background to prove. I'm ...
0
votes
0answers
45 views
Improving my Mathematics [duplicate]
This isn't a regular maths question.
So I'm currently in my first year at Uni doing a Mathematics major. I would like to know what things I can do to help me improve in Mathematics? I would say I am ...
7
votes
1answer
335 views
Practical Tips: Mathematical research and discoveries [closed]
How to behave when you have the feeling of working on something innovative? What to do if there is a chance (even the $1\%$) that your
work is leading you to something original?
For example ...
4
votes
2answers
123 views
Does Differential Topology or Differential Geometry play a larger role in Chaos Theory?
I'm an undergraduate on somewhat of a time constraint in school. I have room in my remaining schedule for a semester of either Differential Geometry or Differential Topology.
I understand the ...
19
votes
2answers
294 views
Advice: Difficult Situation
I'm in need of advice with my life/studies. This will probably turn out to be a long post so here goes.
My background
I did very well in high school mathematics achieving an average 97.5% over 6 ...
3
votes
2answers
187 views
Advice: Modern vs. Classics
First of all, my apologies if (well, I know I am but I don't know where to put it) I am posting this in the wrong place. So please feel free to move it to someplace else or to tag it differently if ...
1
vote
2answers
85 views
The maths required for an economics degree
I have a degree in computer science and I wanted to do another degree in economics.
However, my maths have been weak since high school always scoring slightly above passing rate. During my course of ...
17
votes
3answers
273 views
Why should “graph theory be part of the education of every student of mathematics”?
Until recently, I thought that graph theory is a topic which is well-suited for math olympiads, but which is a very small field of current mathematical research with not so many connections to ...
52
votes
9answers
2k views
How do I sell out with abstract algebra?
My plan as an undergraduate was unequivocally to be a pure mathematician, working as an algebraist as a bigshot professor at a bigshot university. I'm graduating this month, and I didn't get into ...
0
votes
1answer
65 views
Will I have learned the prerequisites for self learning stochastic calculus and monte carlo method?
I'm an undergraduate econ major, and my main focus is in actuarial sciences, which as you may or may not know it's pretty mathematical. Some of the topics I will have to learn at some point on my own ...
7
votes
3answers
843 views
Choosing a PhD topic
My supervisor and I recently had a long chat about PhD related stuff. He said something to the extent that your chances of employment after finishing your PhD among other factors depends on the topic ...
21
votes
6answers
894 views
Should I be worried that I am doing well in Analysis and not well in Algebra?
I attend a mostly liberal arts focused university, in which I was able to test out of an "Introduction to Proofs" class and directly into "Advanced Calculus 1" (Introductory Analysis I) and I loved ...
0
votes
0answers
79 views
Example of well-written theses
Among the books of pure mathematics, Rotman's book on Group Theory and any book of J. P. Serre are best examples, as I feel, of writing a mathematics book (many experts in different areas of ...
6
votes
6answers
232 views
How to study and Advice on my Situation
I read some answers that people gave to another question on this site about studying math, and I found it really informative. I would like to get some advice and insight from some of you on a couple ...
0
votes
0answers
21 views
What's the interested topic or applications about random graph, probabilistic method or combination?
I want to pick some topics or applications to do a project of a current course.
Those topics should be related to graph theory, combinatorics, random graph, probabilistic method etc.
Such as social ...
23
votes
8answers
889 views
How to use math textbooks
I'm a higher schooler who was recently gifted a book by my teacher (Schaum's outline of advanced calculus) which is really awesome and I've started working my way through it.
I have run into a ...
16
votes
3answers
490 views
What's next for me?
I'm in my last year of undergrad, and I would like to do original research for my senior thesis. I am already published in finite group theory and am looking for a new topic to study.
I have taken ...
1
vote
1answer
114 views
Taking an exam in math analysis course.
So I'm taking my first midterm exam in math analysis soon and I'm confused on how to study for it. I mean in calculus one would be able to just go into the book and take derivatives and integrals ...
3
votes
1answer
101 views
What courses should I take in order to understand Navier-Stokes equations?
I've recently been interested in the Navier-Stokes equations. I would like to understand them deeply from a mathematical point of view.
What courses in advanced mathematics (and physics?), and in ...
3
votes
1answer
100 views
Two sets can be separated by a hyperplane iff their convex hulls do not intersect
So I am supposed to prove that two sets of points in $\mathbb{R}^n$ are linearly separable in an n-dimensional space if and only if their convex hulls do not intersect.
I understand the concept ...
32
votes
4answers
1k views
What is mathematical research like?
I'm planning on applying for a math research program over the summer, but I'm slightly nervous about it just because the name math research sounds strange to me. What does math research entail ...
5
votes
3answers
187 views
How to take the most of math lectures in college?
I am trying to become more effective in my study habits and in my case, I feel that attending classes is a huge waste of my time. The lecturer just keeps writing formulas on the board and to be ...
4
votes
2answers
235 views
start mathematics from scratch
I'm sorry if this question goes against the site. I have completed my engineering in computer science; we were taught to get degrees only in our university :(.
I love mathematics but time passed ...
0
votes
1answer
198 views
possible topics for undergraduate project. [closed]
i don't know whether it will be appropriate to ask this question here or not but i need help.
we have to a project in either pure or applied mathematics. my supervisor told me that it should not be ...
0
votes
1answer
311 views
How to approach the problems in the Hoffman Kunze book?
I’m considering the idea to solve the entire set of problems contained in the Hoffman-Kunze text. The standard results of Linear Algebra are known to me.
I don’t have much time to read the textual ...
2
votes
3answers
88 views
Advice reviewing academic paper
For a piece of university coursework, I have been asked to review a paper of my choice. It is a computer science course, but since it is very mathematical, I thought it was worth asking here.
I was ...
30
votes
7answers
2k views
How does a non-mathematician go about publishing a proof in a way that ensures it to be up to the mathematical community's standards?
I'm a computer science student who is a maths hobbyist. I'm convinced that I've proven a major conjecture. The problem lies in that I've never published anything before and am not a mathematician by ...
5
votes
6answers
433 views
Is it possible to learn ring theory if one's familiar, but not good at group theory?
Is it possible to learn ring theory if one is familiar with but not good at group theory?
Background: I’m using Dummit and Foote's Abstract Algebra, and I am an undergrad.
14
votes
4answers
421 views
Proofs that involve Tricks
When I am doing a homework problem or self-studying, I can usually do proofs that only require theorems or definitions. But lately I've been trying to read more advanced texts in analysis and algebra ...
4
votes
4answers
279 views
What are the prerequisites for taking introductory abstract algebra?
I am a maths student in my second year of university. I have taken and done quite well in Calculus I, II, III as well as a linear algebra (application focused) class. I have not worked much with ...
7
votes
5answers
315 views
Differential Geometry past an introductory course?
I'll be doing an independent study with one of my profs in differential geometry next semester (my university did not happen to offer an intro diff. geometry course next semester like it usually ...
2
votes
2answers
234 views
Independent math learning
I'm an undergraduate math and econ major and I'm planning on graduating relatively soon and I am very limited to the number of math classes I have left (very sad about this fact). So far I have ...
3
votes
1answer
176 views
choosing a real analysis text [closed]
I am trying to decided which real analysis text book I should buy.
I have the following in mind-
1)Walter Rudin's "Principles of Mathematical Analysis"
2)Charles Pugh's "Real Mathematical Analysis"
...
4
votes
3answers
169 views
participation in 1st year introductory pure maths classes
I have just started teaching a very elementary class for 1st year students on introductory pure mathematics. ( classes at my institution are groups up to 20 students and supplement the lectures. The ...
4
votes
2answers
344 views
Mathematical Analysis textbook
So as I have said before in a previous question, I am taking a first course in Mathematical Analysis, and I'm quite excited. I just found out though that unlike the other professors at my university, ...
9
votes
6answers
308 views
Strategies to prevent my math abilities from fading?
This is not a math question per se, but I think that it is relevant to a number of people. I am currently in the process of applying to graduate school, but not feeling super confident that I will get ...
4
votes
2answers
227 views
Advice about taking mathematical analysis class
I appologize if this isn't the place to ask, if it's not could you let me know and I will take it to meta? Anyway, so I am planning on taking a mathematical analysis course next spring, and I'm really ...
4
votes
3answers
97 views
Transition from introduction to analysis to more advanced analysis
I am currently studying intro to analysis and learning somethings about
basic topology in metric space and almost finished the course . I am
thinking of taking some more advanced
analysis. Would it be ...
4
votes
2answers
151 views
What are the prerequisites for Stochastic Processes
I'm a first-semester mathematics student, however I already feel the need of a certain goal, or rather an area I'd like to specialize in. For a quite a while, that's been the study of stochastic ...
1
vote
1answer
165 views
Relearn mathematics
I believe that this question is well known, but since I'm not a US resident and do wish to learn math according to the U.S. school syllabus I wish that somebody can help me.
At my first eight years ...
20
votes
3answers
868 views
Academic integrity
This may sound like a childish question and for all its worth, very well may be one as I am only 17, but how do I know who to trust with reviewing or looking at my work? The idea of someone stealing ...
23
votes
8answers
2k views
Math every mathematician should know [closed]
Sorry in advance if this question doesn't belong here. I know it walks the line of what kinds of questions should be asked, but I'm really interested in what the community here has to say on it. ...
9
votes
1answer
425 views
Choosing a Master Thesis Topic: Logic - Model Theory
I am a first-year graduate student in maths. Around these days, I feel I must decide on which exact part of mathematics I shall go through. Infact, I have narrowed down the suitable options but still ...
0
votes
1answer
152 views
Summer Internship to gain Research Exposure for Undergraduates
I am a 1st year undergrad student in Maths and Computer Science.I wanted to do a summer internship in mathematics to gain some research exposure. However I am not sure what I can do after my 1st year.
...
1
vote
3answers
245 views
Suggestions on Real, Fourier Analysis textbooks?
I'm new here, and I hope this is within the scope of the website. I'll try to ask few advisory type questions in the future... I'm a college junior, and I was wondering if you guys could offer any ...
117
votes
27answers
7k views
Too old to start math
I'm sorry if this question goes against the meta for posting questions - I attached all the "beware, this is a soft-question" tags I could.
This is a question I've been asking myself now for some ...
