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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8
votes
1answer
527 views

Preparing for “differential forms in algebraic topology”?

I'd very much like to read "differential forms in algebraic topology". Apart from background in calculus and linear algbra I've thoroughly went through the first 5 chapters of Munkres. I'm thinking ...
0
votes
2answers
85 views

What textbook and chapters should I go through to study for a probability qualification exam?

In 7 months I will have to take a "Probability" qualification exam similar to the ones shown here: Fall 2013 Spring 2013 Fall 2012 Spring 2012 Fall 2011 Could somebody please recommend the best ...
3
votes
2answers
222 views

What's the right moment to learn Set Theory?

I've seen a question in which the OP asked when is the right moment to learn Category Theory, it seems this moment comes a little after a course of algebra, and indeed some books on abstract algebra ...
13
votes
3answers
398 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 ...
3
votes
4answers
94 views

Let $x,y,z$ be integers and $11$ divides $7x+2y-5z$. Show that $11$ divides $3x-7y+12z$.

Let $x,y,z$ be integers and $11$ divides $7x+2y-5z$. Show that $11$ divides $3x-7y+12z$. I know a method to solve this problem which is to write into $A(7x+2y-5z)+11(B)=C(3x-7y+12z)$, where A ...
2
votes
1answer
211 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
166 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
539 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 ...
3
votes
0answers
86 views

What is the most relavant math for statistics students?

As they say "the more math you learn the better". Unfortunately, I did not have a lot of mathematical training in my undergraduate. Now I am doing a master in mathematics, mainly to make up some ...
-1
votes
1answer
128 views

Is it good that I feel embarrassed when I can't find solution to a problem? [closed]

Is it good that I feel embarrassed when I can't find solution to a problem and then I have to check the solution manual?
4
votes
1answer
121 views

Advice regarding best-practice mathematics / categorial logic.

A good heuristic is: If it doesn't cost anything, generalize. In particular, if we have a theorem, and a proof thereof, then we ought to look for a maximal generalization of this theorem, ...
6
votes
0answers
181 views

What is the best way to go about learning math?

I know this is a very subjective question, but after struggling on my own for a while I figured I might as well ask it. I did all the normal math classes in college (LinAlg, MultiVariable Calc, ...
2
votes
2answers
286 views

Ring theory : Completely lost and overwhelmed

Over the past 3( 9 sessions) weeks my professor has covered entire Part 3 - Rings from Gallian's Abstract Algebra which includes Introduction to Rings Motivation and Definition Examples of ...
5
votes
0answers
80 views

Is there a proper etiquette for asking an author for their (mathematical) software?

This may not be the correct place to ask such a question. I have read a mathematical paper on multiclass total variation clustering. I wish to use the algorithm in the contents to compare with another ...
2
votes
1answer
744 views

what prerequisite classes must I have before I take Abstract Algebra and Real Analysis at the undergrad level?

what prerequisite classes must I have before I take Abstract Algebra and Real Analysis at the undergrad level? Will these prerequisites help me with these two coursea at the graduate level? or do I ...
3
votes
3answers
141 views

Question on Rudin sequences?

In baby Rudin, Rudin shows that $$\lim_{n \to \infty}\sqrt[n]{p} = 1.$$ In the proof of limit he tries to prove that the limit is $1$. So he takes $x_n = \sqrt[n]{p} - 1$. I have never noticed this ...
-2
votes
4answers
160 views

Linear Algebra and Set Theory book recommendations. [duplicate]

I would like to studying linear algebra and set theory. Does anyone have a a good recommendation of books/resources/etc.?
2
votes
6answers
539 views

Need advice on whether I should take Algebra 2 next semester [closed]

I am an undergraduate primarily interested in pure mathematics, but recently ODE and Linear Algebra have caught my attention. As I study more applied maths, I have less time for pure math. My ...
2
votes
2answers
76 views

Important topics to cover in an intro course to algebraic number theory? [closed]

I am currently doing an independent study in algebraic number theory using Stewart and Tall's Algebraic Number Theory and Fermat's Last Theorem textbook. I have covered the material for the course ...
5
votes
1answer
295 views

Where to go from here…graduate school

I am an undergrad math major (minor in applied stats) set to graduate next month. I have been considering graduate school for a long time, and I know I want to pursue at least a Master's in the near ...
43
votes
12answers
4k views

I almost quit self-studying mathematics, but should I continue?

Before I move on to the main idea of this post, I need to tell you some background information about myself. Hopefully, it proves useful for you in giving me advice. I'm a 16 year old high school ...
5
votes
2answers
153 views

Commutative/noncommutative algebra?

I know basic knowledge of undergraduate algebra till galois theory of finite extensions. I want to learn number theory, but also like algebra. This semester I have to choose to read either commutative ...
17
votes
1answer
564 views

Learning Math Efficienctly and Succeeding in Grad School

I'm currently a second year Ph.D. student studying pure math. I've recently come to the conclusion that I must be studying wrong. Actually, more to the point, I must be thinking about mathematics ...
2
votes
2answers
90 views

Informal: What do you do when you cannot understand a proof in a book?

I have just moved to the differentiation chapter in Royden's book on real analysis. Unfortunately, many of these proofs are difficult for me to understand, and no matter how many times I read them, ...
4
votes
2answers
147 views

Real Exponentiation (help with an exercise)

Hi everyone I have serious problems with this exercise. I would appreciate any help. Thanks. (I can use freely any fact regard to real exponentiation when the exponent is a rational number, other ...
20
votes
1answer
2k views

What are some strong algebraic number theory PhD programs?

I am currently applying for PhD programs in the US. My main interests are number theory and algebra. More specifically, I am interested in algebraic number theory (number fields, Galois groups, ...
3
votes
2answers
1k views

Learning maths as a hobby - tips and techniques not to forget

I learn math in my free time. I do it mainly as a hobby, but it also helps me as a software engineer. My main resources are MathTutor site and Stroud books. The problem I have is I can't work on math ...
11
votes
4answers
3k views

How to do well on Math Olympiads

I'm a high school student who really likes maths and I'm quite good at school. I want to start training maths by myself but I think I need some guidelines. I want to do well on IMO but I don't know ...
-1
votes
1answer
29 views

Looking into mappings [closed]

I'm interested in looking at mappings of functions. For example, how would I come up with a function $f:x\in[0,\infty)|\longmapsto\ (-\infty, 0]$ where $f(x)=x^2.$ Basically I want to glue every ...
11
votes
4answers
664 views

Cheap online graduate math courses

I am an undergraduate math major. I want to have some math graduate courses on my transcript. I can't do this at my university. Are there online graduate math courses that I can take and receive a ...
4
votes
2answers
194 views

Recommendation for learning math [duplicate]

I'm in the 11th grade. At the bachelor exam, my main focus will be on mathematics and informatics. I'm a hard working man, but due to the school norms, I can consider myself idiot at math. Why? ...
1
vote
1answer
172 views

Understand calculus

I am a computer engineering student and lately every thing I see includes math. I have taken all the math courses any one in college should have taken (high school : alg,trig & geom, -sophomore: ...
3
votes
2answers
856 views

Are universities teaching math too fast? [closed]

I love math and I feel happy to learn it. But in universities, I think there's too much to learn. For example, in my university, there are mathematical analysis(I,II,III), linear algebra(I,II), ODE, ...
3
votes
1answer
116 views

New ways to light the fire again

Recently I've been studying a lot of analytic geometry and this subject made my motivation drop. The thing is, the courses aren't stopping and I'm beginning to lose the passion I had before. I need ...
11
votes
2answers
1k views

Learning Abstract Algebra for a graduate degree

I would like to do a graduate degree in mathematics, and I have a full year before I will be able to do so (for personal reasons). I mainly have my weekends available to study. I am interested in ...
1
vote
2answers
88 views

First time writing a survey on population models [closed]

I am a graduate student trying to write a survey paper on population models. I am new to writing mathematical papers as you guessed. My professor did not give me much direction, but from what I ...
1
vote
1answer
595 views

Is Apostol's Calculus a Good Book to Use for GRE Math Subject Test Prep

I am going to take the math subject GRE, and after looking at the main topics (calculus, diff eqns, linear algebra, prob, and algebra), I got to wondering if Apostol's text on Calculus might not be a ...
44
votes
15answers
4k views

How do I motivate myself to do math again?

I have been thinking of asking for help for a few months now but posting in a public forum like this is intimidating. Still, I am currently in a university studying mathematics as an undergrad. I took ...
3
votes
1answer
148 views

Mathematics in cognitive sciences

Which areas of Maths can be formally studied in a cognitive sc major? Or: which areas of maths can support the study of brain. Some areas that seem relevant would be: mathematical logic, graph theory, ...
4
votes
1answer
163 views

Mathematics for Graduate Political Science

I'm preparing to attend graduate school for political science here in Canada and I'm having something of a crisis. Midway through my degree program I chose to drop my first love (English) to focus on ...
28
votes
6answers
2k views

Cool mathematics I can show to calculus students.

I am a TA for theoretical linear algebra and calculus course this semester. This is an advanced course for strong freshmen. Every discussion section I am trying to show my students (give them as a ...
0
votes
1answer
243 views

Prerequisites of general calculus

I have a unique situation in which I need to know the names of the concepts taught in Pre-Calculus and those taught at the beginning of the school year in Calculus (or just general concepts used in ...
4
votes
1answer
119 views

How to deal with lack of peers?

I am pursuing a B.S in Mathematics(freshman) in a country where people rarely study math for the sake of it and in a new university with good professors. Yet, it is new and I suffer from the lack of ...
7
votes
4answers
1k views

In What order should I Learn math in?

I am a 13 year old boy from Hong Kong, My dad is a math teacher which probably accounts for SOME of my interest in math. I am really interested in math. I self-taught myself (with little help form my ...
5
votes
3answers
347 views

How to learn mathematics as a beginner

I am a 15 year old mobile app developer. I had a tough time understanding maths when i was little, which have thrown me off balance when i try to study maths or attend a maths class. Things don't ...
3
votes
2answers
354 views

Choosing Undergraduate Math Courses to Prep for Physics Ph.D [closed]

I'm currently a sophomore majoring in mathematics, and starting next semester I'm start taking elective classes (which is defined as classes that's not required for all math majors, depending on what ...
2
votes
1answer
204 views

Math writing solutions

I will begin to learn in the university next month and I would like to know what is the best way to write math except from handwriting? I am not sure if to use a mathematical software, digital pen or ...
0
votes
1answer
93 views

Good background for PDE [closed]

What is a recommended background for graduate level PDE ? My school uses Evans ' PDE book. The PDE I class will cover first 4 or 5 chapters. Any contributing opinion will be appreciated. (My ...
0
votes
1answer
110 views

Combinatorial Game Theory Prerequisites

I am planning to self-study Combinatorial Game Theory. I have gathered some useful references from here. Reference for combinatorial game theory. I plan to make a study about a local combinatorial ...
8
votes
1answer
273 views

Balancing Coursework with original research

I am a first-year graduate student in a US university pursuing a PhD in mathematics. I am a bit frustrated in trying to balance coursework with original research. I saw students who spend most of ...