0
votes
0answers
65 views

Choosing between Universities for Mathematics [on hold]

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
69 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
26 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 ...
2
votes
5answers
298 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 ...
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 ...
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 ...
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 $250$ ...
2
votes
1answer
58 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 ...
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
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 ...
-1
votes
0answers
66 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
64 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
142 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 ...
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 ...
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 ...
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
81 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 ...
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 ...
8
votes
4answers
343 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 ...
5
votes
4answers
120 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 ...
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 ...
5
votes
1answer
84 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?
3
votes
1answer
70 views

Writing mathematics one is only slightly familiar with

Reading Paul Halmos' book I want to be a mathematician, he emphasizes early his personal experience with writing mathematics - using long, clear sentences, claiming that it is more beautiful, engages ...
1
vote
0answers
51 views

Literature on Chern-Weil Theory and the Chern-Gauß-Bonnet Theorem

At my university there are plans for a graduate seminar on Chern-Weil Theory and Chern's generalisation of the Gauß-Bonnet Theorem. Unfortunately I am having a though time in finding adequate and ...
0
votes
3answers
77 views

What are the prerequisites to learn mathematical logic?

I have no background in mathematical logic.
2
votes
2answers
266 views

Ask your professor your questions?

Most questions occur to me outside of class, when I'm reading a textbook or working on an assignment, so I e-mail my math professors with questions. Otherwise the alternative is wait until next class ...
5
votes
7answers
1k views

How to test whether I am suitable to pursue mathematics? [closed]

I am a high-school student. I have developed a recent affection towards mathematics (especially proofs), although I was always into logic (I've been a programmer since the age of eight). Now I am ...
4
votes
1answer
180 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 ...
4
votes
0answers
96 views

start studying advanced topics in number theory

I am a first year undergrad and have had elementary course in Number Theory which includes only basic introductory topics like: divisibility,gcd-lcm,primes,congruences, number theoretic functions etc. ...
3
votes
1answer
123 views

Mathematical logic book with answers to exercises

I'm sure a question similar to mine has been asked before, but I am looking for a mathematical logic book with answers to the exercises. I am studying independently and although I have good logic ...
3
votes
2answers
114 views

What will I be doing?

I'm a freshman studying discrete mathematics B.sc. It's easy to google ''typical mathematician jobs'' and get an idea of what mathematicians do for a living, but what sort of jobs can I expect to work ...
4
votes
0answers
76 views

How can math students (not instructors) improve studying by Learning through Testing?

I hit upon Alex K. Chen's answer on What learning strategies do people who are "quick learners" follow? which links to this New York Times article To Really Learn, Quit Studying and Take a Test . ...
5
votes
0answers
85 views

For maximum productivity, how many math subjects or subfields should be studied daily? [closed]

I quote Ben Baert on Quora at http://qr.ae/hkuCd: Study every subject only for short periods and take regular breaks: during my 5 or 6 hours - preferably spread out over the course of the day, I try ...
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 ...
9
votes
0answers
138 views

Big geometry grad schools - for an average applicant

What are some schools that have a lot of geometry going on, but that might accept some middle-of-the-range applicants? Let me add some context... I left grad school (UC Davis) with an MS in 2012 ...
6
votes
8answers
428 views

How t0 stop being obsessive about small, trivial things [closed]

I'm a student of math, my problem is that I tend to overformalize and overanalize some things and definitions and so I keep wasting time and effort in pointless things. For example, one often finds ...
1
vote
0answers
81 views

Soft question - having difficulty with rigorous proofs

What exactly is in your opinion the best way to understand rigorous proofs?I seem to be having a number of problems when it comes to learning mathematics. .While I easily get the intuitive part, the ...
7
votes
1answer
142 views

General Topology: “Follow your Nose Approach”

So, this is definitely a soft question and I apologize. I've been in point set topology for about a week and I have two questions, Everything spews from definition, so should I dismiss my geometric ...
2
votes
2answers
87 views

Greedy algorithm for reading a single paper in Dutch

I want to read the paper of Freudenthal and van der Waerden that proves there are only 8 convex deltahedra. (“Over een bewering van Euclides” Simon Stevin 25 (1946–7), pp. 115–121.) I have a copy of ...
13
votes
2answers
256 views

Being mathematically critical: how should a student approach statements that appear to be obvious?

Very occasionally, I will read or hear a theorem, and think: isn't that obvious? Not in a contemptuous "I can immediately see how to prove this" way, but rather in a "I would have thought this was ...
4
votes
1answer
129 views

Is it possible to learn differential topology before analysis?

Currently I'm self studying for my own enjoyment topology and algebra (munkres and herstein). Since I start at the university next year everything I'm learning now is for my own enjoyment and I will ...
5
votes
2answers
152 views

Is it better to teach or to grade?

As a graduate student at my university, I have the option many times of deciding what type of work I do for support. The two basic options are to teach either a calculus or college algebra course, or ...
20
votes
6answers
324 views

Generic elementary group theory problems.

This question is about generic group theory problems. here are examples for what I’m referring to: Prove that any group of order $p^2$, where $p$ is a prime, is abelian. Let $G$ be a ...
7
votes
0answers
188 views

How much time is reasonable to complete baby Rudin?

I've been teaching myself math for more than a year. My current aim is towards algebraic topology and differential geometry. Apart from a messy (by which i mean some rigorous and some not) ...
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 ...