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...").

learn more… | top users | synonyms

1
vote
0answers
20 views

Red-Black tree - “Insert-Delete” [on hold]

I am looking at red-black trees. Unfortunately in my lecture notes, the operations "Insert" and "Delete" are not well explained. Could you explain to me steps that we have to do for these two ...
1
vote
1answer
42 views

suggesting books on Field/galois theory

I have finished courses on group theory and ring theory and linear algebra and abstract algebra(inrroducton with fraleigh's book) im about to take field/galois theory this semester any good book not ...
-2
votes
1answer
38 views

Divergence and convergence of the integral. [on hold]

I have the following integral, $$I=\int_a^b |x|^{-p} dx$$ where $a<b$ are finite real numbers and $p\leq 0$ is a non-negative real number. If we start solving it we will come up with the ...
-4
votes
0answers
41 views

Which Universities offer PhD positions in complex analysis? [closed]

Currently I am applying to European Universities and would like to know which Univerities offer PhD places for students with background in complex analysis (especially in Banach algebras of analytic ...
5
votes
4answers
197 views

Starting learn Mathematics

I'm a 21 years old Computer Science Student. I am falling in love with mathematics newly, and I want to start dating mathematics (learning mathematics :)). Because I don't have any knowledge in ...
14
votes
5answers
583 views

OK at Applied Math but Fail Pure Math?

Summary. Name Applied Math as AM, and Pure Math as PM. I want to succeed in PM but what am I doing wrongly? Am I too dumb, or is my brain unfit, for PM? Should I just stick to AM? Here, I read the ...
2
votes
4answers
84 views

Book recommendation for Measure Theory

What book would you recommend me to read about measure theory and especially the following: Measure and outer meansure, Borel sets, the outer Lebesgue measure. The Cantor set. Properties of ...
0
votes
0answers
47 views

Revisiting maths through self study

I am a practicing commercial engineer having studied 3 Maths courses during undergraduate college (2004-2008). Now I want to return to my real passion i.e. astrophysics/ quantum mechanics on my own. ...
1
vote
0answers
53 views

How should one ask for first names of professors? [migrated]

This is probably a soft question. I am interested in complex analysis, and I want to ask the first name of this person, S. Ponnusamy, whose name I wish to mention in a paper. What is the best way to ...
4
votes
3answers
282 views

What things should one know in order to enjoy their undergraduate degree?

From looking at undergraduate mathematics programmes it's quite apparent that mathematics degrees are demanding, one could even say the work load is grueling. However I'm certain that there are ...
4
votes
5answers
154 views

Does taking courses in mathematics give any help for mathematical logic?

I'm undergraduate student of philosophy department and I think I'll major in mathematical logic. For studying mathematical logic, I thought studying math lectures would give help to logic. So I ...
1
vote
2answers
102 views

Preparation for STEP Mathematics Examinations

First I will give some background, to put my question in context. I am currently in my final year of school, and in order to meet my university offer to study Mathematics this Autumn, I am required ...
1
vote
1answer
101 views

Can I Start Analysis? Seeking Your Advice on My Journey to Mathematics!

I am a college sophomore with double majors in mathematics and microbiology, and I have been doing independent research in the mathematical/computational biology, which really led me to love the ...
-2
votes
1answer
36 views

Online program for solving a system

I want to solve the following system: $$y=\frac{3k^2+2ok+q-em}{2m+ek+p}x+\frac{-k^3+qk+2n-pm}{2m+ek+p}$$ $$ y^2+exy+py=x^3+ox^2+qx+n$$ I tried to compute it at Wolfram, but it failed. Is there an ...
1
vote
1answer
33 views

Find $f'(x)$ given that $2f(x) + 3f(-x) = x^2 -x + 1 \space \space\forall x \in \mathbb{R}$

Find $f'(x)$ given that $2f(x) + 3f(-x) = x^2 -x + 1 \space \space\forall x \in \mathbb{R}$ My solution Substitute $x \rightarrow -x$ to get $2f(-x) + 3f(x) = x^2 +x + 1$. We now have 2 equations in ...
3
votes
2answers
82 views

Advice on how to use previous exams to study

I have two big (graduate) exams in mid-January (one in D. Geometry and the other one in Algebra) and I'm not sure how to study for them. I have access to all the previous exams (more than 10 of each), ...
2
votes
1answer
65 views

Popularization of mathematics: inspiring quotes (or interviews) on the fascination of mathematics

I would like to compile a big list of references to particularly inspiring interviews with important mathematicians or famous quotes on the fascination that mathematics holds for ...
0
votes
0answers
34 views

Recommend Courses before taking Chaotic Dynamics

I am a junior CS major at my school and am interested in taking a chaotic dynamics course. The requirements are an intro CS course and Calculus 3 (both of which I have taken), but they also recommend ...
0
votes
1answer
19 views

If $\alpha\in X/R$ is an equivalence class, then $F:X/R\to Y$ defined by $F(\alpha)=f(a)$, is well-defined, 1-1 and onto.

Let $f:X\to Y$ be a surjection. Let $R$ be the subset of $X\times X$ consisting of those pairs $(x,x')$ such that $f(x)=f(x')$. Then $R$ is an equivalence relation. Let $\pi:X\to X/R$ be the ...
0
votes
1answer
155 views

I need help organising these books by topic

Okay, this should be a quick and easy question for those of you who've studied calculus. I have a list of books that I want to order by topic, the books are as follows: Michael Spivak - ...
1
vote
0answers
58 views

Partial Differential Equations Course And Differential Geometry Prerequisites

Is the ordinary differential equations course a prerequisite for the partial differential equations course for a person who has passed the integral calculus course? Is it really required to have ...
37
votes
2answers
619 views

Effective Research Notes

Note-taking for research is vital to your success as a mathematician. As I look back at some of my handwritten notes, I realized how poor they were. I had thought to myself, "What happened?" I was ...
7
votes
1answer
121 views

So bad at maths sometimes I feel depressed about it [closed]

I taught myself how to count before I even learnt how to talk or read. Playing with numbers was all I did when I was young. I didn't have anyone to foster that type of passion that I believe I still ...
0
votes
1answer
39 views

Advice inquiry: Financial mathematics

I am a math instructor at an education center studying to become an actuary. Currently I am studying for Exam FM and practicing problem from a book. Some of the problems in the book says "use a ...
1
vote
1answer
72 views

Book recommendations for topics leading upto Algebraic geometry

I'm interesting in studying algebraic geometry (specifically either from Shafarevich or Hartshorne). Assuming a high school and basic college math education, what should be the topics and the order ...
1
vote
1answer
77 views

What topics have complex analysis among their prerequisites?

I have one spot left in my bachelor's curriculum and am trying to decide between complex and functional analysis. What the latter is good for, is more or less clear to me: e.g. for advanced ...
0
votes
2answers
44 views

How to argue that one point on real line is on the right of the other?

I have the two points on the real line as shown in the figure, how one can argue or prove that $b$ is on the right side of $a$ or $a$ is on the left side of $b$?
5
votes
5answers
225 views

Should i study Mathematics? [closed]

I would like to ask you guys for some advice. I'm currently studying Bsc. engineering(2nd year). I really like mathematics and for example I really liked the calculus courses from 1st year and am ...
2
votes
1answer
18 views

Texts on Coxeter groups

I'm looking for an introductory text on Coxeter groups. It can assume undegraduate knowledge of Algebra (Groups up to and including the Sylow theorems in Fraleigh, elementary knowledge of rings, ...
1
vote
0answers
29 views

Advice needed in Cryptography

I'm currently in my undergrad studies (3rd Year in 2015) , majoring in pure mathematics and statistics. I'm thinking of pursuing cryptography for my Honours project, as its the closest thing that ...
1
vote
2answers
43 views

Should I start with complex variables before fourier series?

My math professor has said that it would be useful to start with complex analysis before learning fourier series in the signals and systems course(I'm an undergrad EE). Do you agree with that and why ...
5
votes
2answers
53 views

How to improve concentration when beginning to work on a math problem that seems boring?

I am a college student and my current situation is that I have an extremely hard time getting myself to start doing math. I feel like math is 'boring,' but ONLY until I start actually doing it. Once I ...
5
votes
1answer
62 views

Is a thorough study of algorithms useful for a mathematician?

In my university, there is a core course called "basics computer science for mathematicians". The topics covered range from algorithms, to the bases of programming, to theory of computability. The ...
2
votes
0answers
68 views

From newbie to professional, the path.

I left school long time ago because of family stuffs and with this I left many subjects behind and since then I try to find something to do and when I discovered the computer and what I can do with it ...
0
votes
1answer
22 views

Dollar weighted return. Formula or definition?

I was learning dollar-weighted return and I was a bit puzzled by the following and I would like to have some advice. I understand that it's basically the internal rate return, but using simple ...
8
votes
3answers
399 views

Instructive examples of elegant, clear, rigorous, terse, but “non-dull” mathematical prose

On the "About" page of the Mathgen project one can read: "More seriously, I think this project says something about the very small and stylized subset of English used in mathematical writing. ...
63
votes
4answers
2k views

“Advice to young mathematicians”

I have been suggested to read the Advice to a Young Mathematician section of the Princeton Companion to Mathematics, the short paper Ten Lessons I wish I had been Taught by Gian-Carlo Rota, and the ...
1
vote
0answers
47 views

Which math class next

I just finished and Algebra for Calculus class this semester. I'm trying to work up to taking calculus (have to do up through calc 3). One person told me I should take trig next, and another calculus. ...
1
vote
0answers
13 views

Help with finding an optimal bilingual skill-based routing calculation.

First time post, I'm not sure if it is in the correct forum but this seems to be as a good place to try: I was wondering if anyone out there had experience dealing with a similar issue or knew of any ...
38
votes
15answers
2k views

Nobody told me that self teaching could be so damaging…

Even though I've been teaching myself math for a couple of years now I only just started (a month ago) at the university. My experience is rather mixed. For starters, I'd like to mention that I'm 21 ...
3
votes
1answer
94 views

Advice for Math Majors -What to do if you come into college with a lot of college credit? [closed]

In high school I was a good maths student and took AP Calculus BC my freshman year and got a 5 and then took Multivariable Calculus, Linear Algebra, Differential Equations, Introduction to ...
2
votes
0answers
32 views

Project-Math-Computing

Im an undergraduate student and me and my roomate who is an undergraduate also would like to do a project together. Im on the pure and some aplied math branch and he is on the computing branch.We are ...
3
votes
2answers
50 views

Simple everyday math

I am looking for a book that contains (instead of crossword puzzles) math problems beginning with simple addition, subtraction, multiplication and division and progresses to more difficult area ...
1
vote
2answers
44 views

Why one interval is the subset of an other interval, both lies on the real line?

We have two real intervals [a,b] and [c,d] on the real axis. If the interval [a,b] lies inside the interval [c,d] or in other words [a,b] is the subset of [c,d]. How we can show mathematically or by ...
0
votes
1answer
39 views

How to argu on the interval of real line?

We have the two real intervals [a,b] and [c,d] as shown below, From figure it is very clear that $c\leq a$ and $b \leq d$. I wanted to know what one can give argument on it why is $c \leq a$ and ...
14
votes
0answers
209 views

How can a beginner researcher or Ph.D. student efficiently and effectively learn new concepts while staying motivated?

I hope this question is appropriate for MSE. The situation is that someone is reading a book (e.g. a monograph), possibly helpful in his/her research, and the content is sufficiently extensive or ...
3
votes
1answer
140 views

How to submit a conjecture for review?

I was recently attempting to solve one of the more known, already proved, problems in mathematics when I stumbled across an observation I thought might be worth digging into further. Unfortunately I ...
2
votes
1answer
119 views

Level of Difficulty of an Undergraduate Curriculum

I'm considering joining an University which is renowned for mathematics in my country. The curriculum it offers is as follows : All the courses listed below except the course on Writing of ...
5
votes
1answer
84 views

Research in algebra.

First of all, I don't know if this is the right place to ask about this. If not, please direct me somewhere I can get more help. I like algebra alot as a mathematics undergraduate student on his 3rd ...
2
votes
0answers
61 views

First hand written draft Or LaTex typed draft; when some one want to publish?

When some one solve a math research problem and want to publish it somewhere; of course one should type it in LaTex. My Question: What should be the ideal way(time) to type it, I mean first one ...