Questions asking for advice on various mathematical matters. Consider adding the tag [soft-question] as well.

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5
votes
1answer
98 views

What happens if your manuscript is accepted as a filler?

I just got a responce from a journal of the MAA that my manuscript is accepted as a filler. The email says : "The Editorial Board likes your submission and has asked me to move it to the ...
0
votes
0answers
55 views

Choosing between Universities for Mathematics

I am trying to advise a younger friend looking into colleges and I was wondering what others would think: Is it better to go for a prestigious university where the focus would be almost exclusively ...
1
vote
1answer
66 views

Uncertainty of Graduate Mathematics

I will be starting my graduate studies next semester right out of my undergrad and I am uncertain about courses that I am ready to take. The main courses of concern are algebra, analysis and applied ...
0
votes
0answers
25 views

Proving Maths Skills for MSc Data Science Degree

In September I'll be applying for a Master's degree in Data Science (2015 intake). With the degree I hold (BSc Psychology), I will forfil the entry requirements provided I have a "demonstrable ...
3
votes
3answers
60 views

Analysis on manifolds after course on Lebesgue integration

I am an junior currently taking a course on measure theory and Lebesgue integration using Royden's text. Before this, I took a standard intro to analysis course covering the first seven chapters of ...
3
votes
1answer
342 views

Specific Advice/Tips to Streamline Studying Math [closed]

1, 2, 3, 4, 5, 6, 7, 8, 9: These instructive threads withal, I'd like to ask about concrete aids/boons/devices/ideas on learning and studying maths, with straightaway impact. They can be informal or ...
2
votes
5answers
297 views

What area of Abstract Algebra do you find most interesting? [closed]

For my Abstract Algebra class, we will be doing small presentations (2 class periods) covering some topic in Abstract Algebra. Thus far, I have studied groups, rings, fields, modules, tensor ...
2
votes
3answers
24 views

Intuition - Divisibility results - If c divides some integers, then c divides any linear combination of them.

Not querying about proofs here. I don't want to memorize, thence are there intuitions or illustrations for them? As a student, how else can I remember these results? Origin - Elementary Number ...
5
votes
2answers
984 views

Rudin against Pugh for Textbook for First Course in Real Analysis

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, ...
1
vote
0answers
15 views

Move to Meta for me please? [migrated]

For some reason I cannot post to the meta math exchange, could someone put it there? I feel like that would be the most appropriate forum in which to ask the question: Question Title: The Efficacy of ...
0
votes
0answers
13 views

Are these solutions to Linear Diophantine Equations too? Where'd they hail from?

(1) Can't the signs - I colored them in red - of x and y be switched? Aren't $x = x_0 - bn/d$ and $y = y_0 + an/d$ also solutions? They satisfy $ax + by = c$? (2) How can I remember these ...
58
votes
8answers
3k views

Math and mental fatigue

Just a soft-question that has been bugging me for a long time: How does one deal with mental fatigue when studying math? I am interested in Mathematics, but when studying say Galois Theory and ...
5
votes
1answer
87 views

Struggling with Topology. Any advice?

I'm a Junior Mathematics major at a small Liberal Arts college. I'm currently taking first semester topology (Munkres text). I feel like I'm barely able to tread water in this course. I was able to ...
9
votes
3answers
4k views

I want to start mathematics from scratch. What should I begin with?

I've just finished high school but I don't feel my knowledge of mathematics is good enough. I'd like to start again from scratch, possibly adding a bit (a lot) of problem solving to it. What is the ...
2
votes
1answer
66 views

Where should somebody who isn't very good at math, start?

I'm 18 years old and I want to learn math. I'm wondering how far can somebody in math go, if they have an average IQ, but math interests them. Also where should one start?
1
vote
1answer
48 views

What are some ways to practice mathematical problem solving?

I am currently a high school senior and, naturally, I have participated in many math competitions in my years. In fact, in preparation for such competitions, I have probably spent upwards of $250$ ...
3
votes
0answers
57 views

My first simple direct proof (very simple theorem on real numbers). Please mark/grade.

What do you think about my first simple direct proof? What mark/grade would you give me? Besides, I am curious about whether you like the style. Theorem Let $I = [a,b]$ be a non-empty closed ...
2
votes
0answers
24 views

On ambiguity in statements expressed in natural language, where the statements use an indefinite article, e.g. “a”.

Please consider the following example statements and judge the meaning of the article "a". Example: A house is a building. Example: A house is being built next to our house. In example 1, "a" is ...
2
votes
1answer
57 views

Learning to understand proofs faster?

There are many books, written by highly decorated academics, which feature proofs that I can hardly comprehend in an acceptable amount of time. Roughly each week, it happens that I find myself having ...
271
votes
26answers
53k views

How to study math to really understand it and have a healthy lifestyle with free time?

Here's my problem. I'm studying math and when I really work hard, I think I understand things very good, but that comes at a big cost: in the last few years, I've had practically zero physical ...
1
vote
1answer
42 views

Is Arizona State University known for their applied mathematics REU/PhD program?

I've been accepeted to ASU's NSF REU program for this summer, but I've also been accepted to Mayo as well for their REU (although not technically sponsored by the NSF). Have you guys heard about ...
8
votes
0answers
129 views

How much practice is too much practice?

I have an exam in single-variable calculus tomorrow. Seeing as its my first exam at the university level, I have been spending some time doing old exams in order to get used to the format. While doing ...
0
votes
0answers
65 views

Becoming a math's Lecturer?

What is the initial process to become a Mathematics's lecturer at a University in London. I want to be able to lecture in a Russell Group university. What academic ladder do i have to climb? Would ...
0
votes
1answer
63 views

Topics on Algebra-Ring Theory for an essay-project on undergraduate level!!

I'm an undergraduate in the mathematics field. So i want to be a little more productive and wanted to do an essay or project on Algebra Ring-Theory (because I got it as a course this semester -Ring ...
-5
votes
2answers
140 views

(soft) How hard REALLY is Advanced Calculus I and Abstract Algebra I [closed]

WTF everyone here downvote Arthur Fischer he is asking for it!!! This next fall, I will be taking Advanced Calculus I and Abstract Algebra I, along with Physical Chemistry I, Computer Science I, ...
2
votes
0answers
75 views

Should I drop Differential Equations?

For many years, my university offered only one Bachelor's degree in math, "Bachelor in Mathematical Subjects." Here, Differential Equations is a mandatory part of the degree. Further specialization in ...
15
votes
1answer
148 views

How often should day breaks be taken for math students? Any research on this?

John Edensor Littlewood wrote in page 197 of Littlewood's Miscellany "For a week without teaching duties - and here I think I am preaching to the converted - I believe in on afternoon and the ...
21
votes
5answers
3k views

Is a good GRE score enough for a non-math graduate to be accepted in a decent pure mathematics graduate program?

I have a computer engineering degree , and i have studied several mathematics courses like single variable and multiples variables calculus , complex variables , probability , numerical analysis ... ...
0
votes
0answers
29 views

Contour integration!Help

I have to integrate a function following the route from the point $(0,0,0)$ to $(1,1,1)$ which consists of the 2 curves $C=(t,t^2,0)$ and $K=(1,1,t)$ $0\leq t\leq 1$ .Is it right to take the 2 ...
5
votes
1answer
102 views

When should I start learning Set Theory?

I started to learn a few disciplines on my own over the break after my first year in college and one of them was Real Analysis. In the process I came across many issues in Analysis texts concerning ...
1
vote
1answer
29 views

Integration Exercise.Help!

I have to integrate the function F(x,y)=x+y on the line segment x=t , y=1-t , z=0 from (0,1,0) to (1,0,0) .So what i did is think the line segment as a vector function(curve) σ(t)=(t,1-t,0) with ...
1
vote
1answer
35 views

Tools or Resources for pictures and visualizations

The popularity of books like Visual Group Theory and Visual Complex Analysis validates the importance of pictures and visualization for complex subjects. Unfortunately, I'm not aware of similar books ...
2
votes
1answer
41 views

Difference between Vector Functions and Vector Field

I understand that a vector function is a function that has a domain $\mathbb{R}^n$ and range on $\mathbb{R}^m$ so it takes vectors and gives vectors right? So what is a vector field?And how can I ...
2
votes
0answers
27 views

which university and specific degree in maths to go for after B.tech(computers).

I am an Indian,B.tech(Computer Science).I am working as Software engineer in India. I do have very much interest in maths and wish to continue my studies in it through distance learning courses or I ...
0
votes
2answers
52 views

Doing for the first time a mathematical essay! Tips [closed]

I am an undegraduate and i though of doing my first essay on number theory!I kinda have the topic and i started selecting info from different references..but i dont want it to be just a copy paste ...
0
votes
0answers
37 views

The chance of IT happening are unknown. What's the chance of IT happening? :)

Starting to work on a new problem and looking for some guidance: In online marketing, it is possible to bid on keywords. For a given keyword, if you meet the criteria, your advertisement will be ...
0
votes
0answers
33 views

General Opinion Math Major [duplicate]

I am sorry, this question might not be what you fellow Mathematicians would like to see, but I would appreciate if a professional in the field can help me out. I am 2nd year student trying to major ...
27
votes
10answers
2k views

How to be a successful math undergraduate student?

I am an undergratuate student in my first year of combined bachelor of electrical engineering and bachelor of mathematics. For my mathematics degree, this year I am supposed to take two math courses ...
1
vote
1answer
49 views

Where can I find good examples about Algebra (but not only): Usual counter-examples, but also limit cases, rare ones, etc [duplicate]

I recently discovered the importance of examples and couter-examples in mathematics. Where could I find good examples books or anything related to it ? I am particularly looking for rare limit-cases, ...
2
votes
0answers
68 views

What are some cool projects that can be done in a high school math class?

I'm studying to be a secondary math teacher and will be starting student teaching next month (an algebra 2 class). It's difficult to find activities and projects that are actually informative and time ...
1
vote
0answers
11 views

Is there a specific term for such collections of filters?

Let $U$ be a set. Concept = "a set $\mathscr{C}$ of proper filters on $U$ such that if $X\in\mathscr{C}$ and $Y$ is a proper filter on $U$ and $Y\supseteq X$, then $Y\in\mathscr{C}$." Is there a ...
2
votes
1answer
78 views

How to proceed doing number theory?

I'm an undergrad majoring in mathematics. Being in first year I'm still exploring new branches of mathematics and till now, It is analysis and Number theory that I've come to have a great interest ...
8
votes
4answers
338 views

Topics on Number theory for undergraduate to do a project

Im an undergraduate in the mathematics field ..So i wanna be alittle more productive and wanted to do an essay or project mostly on number theory or Algebra(Rings or Groups) and i want to ask if you ...
34
votes
4answers
3k 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
4answers
119 views

Some Questions regarding preparing for Math Olympiads (searched but didn't get answers)

Many questions have been asked on this site regarding preparation for olympiads like the Putnam. I've read those questions and accordingly decided to start with Engel's "Problem Solving" but I have a ...
73
votes
18answers
7k views

How do you describe your mathematical research in layman's terms?

"You do research in mathematics! Can you explain your research to me?" If you're a research mathematician, and you have any contact with people outside of the mathematics community, I'm sure ...
4
votes
1answer
178 views

What pure mathematics foundations should an applied mathematician have?

I'm studying mathematics, with some statistics also, and I've always chosen applied courses. I'm getting to the point where I'm studying 3rd year undergraduate to graduate level material. My first ...
7
votes
6answers
403 views

Thinking of mathematics in terms of analogs

I think the way that I've come to think about mathematics is becoming problematic and I'm wondering if I should abandon it. When I study mathematics, I find myself trying to compare the mathematical ...
3
votes
1answer
298 views

Goldberg against Rudin against Pugh. Which real analysis book should I buy? [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" ...
5
votes
1answer
80 views

best book for real analysis for undergraduate [duplicate]

I am in under graduate first year. I want to learn some advanced real analysis. Can you give me some suggestions? One suggestion I got is Rudin's mathematical analysis. Can I buy that?